HISTORY OF THE PRIME k-TUPLETS WEB SITE 14 April 2008 A NEW WORLD RECORD PRIME 15-TUPLET!! 107173714602413868775303366934621 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48, 50, 56 (33 digits, Apr 2008, Jens Kruse Andersen) 14-tuplets 108804167016152508211944400342691 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48, 50 (33 digits, Apr 2008, Jens Kruse Andersen) 107173714602413868775303366934621 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48, 50 (33 digits, Apr 2008, Jens Kruse Andersen) 101885197790002105359911556070661 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48, 50 (33 digits, Apr 2008, Jens Kruse Andersen) 101803109763079694387921584406441 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48, 50 (33 digits, Apr 2008, Jens Kruse Andersen) 101047123513223569167212934432341 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48, 50 (33 digits, Apr 2008, Jens Kruse Andersen) 100859765410802682029505696121301 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48, 50 (33 digits, Apr 2008, Jens Kruse Andersen) 100496797396678760339871075201851 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48, 50 (33 digits, Apr 2008, Jens Kruse Andersen) 1 March 2008 A NEW WORLD RECORD PRIME OCTUPLET!! 330846961*503# + 349129635971 + 0, 2, 6, 8, 12, 18, 20, 26 (218 digits, Feb 2008, Jens Kruse Andersen) Prime septuplets 581889703*503# + 138264351341 + 0, 2, 6, 8, 12, 18, 20 (218 digits, Feb 2008, Jens Kruse Andersen) 456986419*503# + 161951504831 + 0, 2, 6, 8, 12, 18, 20 (218 digits, Feb 2008, Jens Kruse Andersen) 428040647*503# + 29941937141 + 0, 2, 6, 8, 12, 18, 20 (218 digits, Feb 2008, Jens Kruse Andersen) 330846961*503# + 349129635971 + 0, 2, 6, 8, 12, 18, 20 (218 digits, Feb 2008, Jens Kruse Andersen) 315131450*503# + 108685942481 + 0, 2, 6, 8, 12, 18, 20 (218 digits, Feb 2008, Jens Kruse Andersen) 230249877*503# + 302416919921 + 0, 2, 6, 8, 12, 18, 20 (218 digits, Feb 2008, Jens Kruse Andersen) 221801776*503# + 33874245521 + 0, 2, 6, 8, 12, 18, 20 (218 digits, Feb 2008, Jens Kruse Andersen) 3 January 2008 A NEW WORLD RECORD PRIME TRIPLET!! 5612052289*14500#/5 - 1, +1, +5 (6223 digits, Jan 2008, Norman Luhn, PRIMO) 28 December 2007 A NEW WORLD RECORD prime 14-tuplet!! 381955327397348*80# + 18393209 + 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48, 50 (46 digits, Dec 2007, Norman Luhn) Also a new world record prime 13-tuplet: 381955327397348*80# + 18393209 + 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48, 50 (46 digits, Dec 2007, Norman Luhn) And the second-largest known prime 12-tuplet: 381955327397348*80# + 18393209 + 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48, 50 (46 digits, Dec 2007, Norman Luhn) 30 October 2007 New quadruplet This is now the largest known prime quadruplet to contain both a Riesel and a Proth prime. 2722420456827*2^3800 - 1, +1, +5, +7 (1157 digits, Oct 2007, Gary Barnes) 19 October 2007 New quadruplet This is the largest known prime quadruplet to contain both a Riesel and a Proth prime. 477707955423*2^3802 - 1, +1, +5, +7 (1157 digits, Oct 2007, Gary Barnes) 11 October 2007 New twins 1046619117*2^100000 +/- 1 (30113 digits, Oct 2007, Gary Barnes) 19 September 2007 Late arrivals New record triplets added (Thanks to Jens Kruse Andersen for drawing my attention to this omission) (99241437759*205881*4001#*(205881*4001# + 1) + 210)*(205881*4001# - 1)/35 + 1, 5, 7 (5132 digits, Mar 2006, Ken Davis) (91456744909*205881*4001#*(205881*4001# + 1) + 210)*(205881*4001# - 1)/35 + 5, 7, 11 (5132 digits, May 2006, Ken Davis) 17 September 2007 New record 9-tuplets! 3336884*331# + 80877403191701 + 0, 2, 6, 8, 12, 18, 20, 26, 30 (140 digits, Sep 2007, Dirk Augustin & Jens Kruse Andersen) 8-tuplets 15040372*331# + 24632288535971 + 0, 2, 6, 8, 12, 18, 20, 26 (140 digits, Sep 2007, Dirk Augustin & Jens Kruse Andersen) 14167183*331# + 35015517882461 + 0, 2, 6, 8, 12, 18, 20, 26 (140 digits, Sep 2007, Dirk Augustin & Jens Kruse Andersen) 13603476*331# + 55083998744891 + 0, 2, 6, 8, 12, 18, 20, 26 (140 digits, Sep 2007, Dirk Augustin & Jens Kruse Andersen) 12881645*331# + 18936030208211 + 0, 2, 6, 8, 12, 18, 20, 26 (140 digits, Sep 2007, Dirk Augustin & Jens Kruse Andersen) 11016377*331# + 38766080888651 + 0, 2, 6, 8, 12, 18, 20, 26 (140 digits, Sep 2007, Dirk Augustin & Jens Kruse Andersen) 10658130*331# + 54668878048901 + 0, 2, 6, 8, 12, 18, 20, 26 (140 digits, Sep 2007, Dirk Augustin & Jens Kruse Andersen) 10451363*331# + 19613368149491 + 0, 2, 6, 8, 12, 18, 20, 26 (140 digits, Sep 2007, Dirk Augustin & Jens Kruse Andersen) 9378352*331# + 2995583656181 + 0, 2, 6, 8, 12, 18, 20, 26 (140 digits, Sep 2007, Dirk Augustin & Jens Kruse Andersen) 8889326*331# + 73892184681431 + 0, 2, 6, 8, 12, 18, 20, 26 (140 digits, Sep 2007, Dirk Augustin & Jens Kruse Andersen) 8028092*331# + 37461886457111 + 0, 2, 6, 8, 12, 18, 20, 26 (140 digits, Sep 2007, Dirk Augustin & Jens Kruse Andersen) 3704397*331# + 35072372810591 + 0, 2, 6, 8, 12, 18, 20, 26 (140 digits, Sep 2007, Dirk Augustin & Jens Kruse Andersen) 3098613*331# + 46977904628771 + 0, 2, 6, 8, 12, 18, 20, 26 (140 digits, Sep 2007, Dirk Augustin & Jens Kruse Andersen) 2288764*331# + 32246355636611 + 0, 2, 6, 8, 12, 18, 20, 26 (140 digits, Sep 2007, Dirk Augustin & Jens Kruse Andersen) 2231415*331# + 61189154651741 + 0, 2, 6, 8, 12, 18, 20, 26 (140 digits, Sep 2007, Dirk Augustin & Jens Kruse Andersen) New URL: http://anthony.d.forbes.googlepages.com/ktuplets.htm 30 June 2007 New twins 194772106074315*2^171960 +/- 1 (51780 digits, June 2007, Antal Járai, Gabor Farkas, Timea Csajbok & János Kasza) 15 January 2007 New record twins!! 2003663613*2^195000 +/- 1 (58711 digits, Jan 2007, Eric Vautier, Dmitri Gribenko, Patrick W. McKibbon, Michaek Kwok, Andrea Pacini, Rytis Slatkevicius) 28 December 2006 New record twins!! 100314512544015*2^171960 +/-1 (51780 digits, Dec 2006, Antal Járai, Gabor Farkas, Timea Csajbok & János Kasza) 3 June 2006 NEW RECORD 12-tuplet! 8486221*107# + 4549290807806861 + 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42 (50 digits, May 2006, Dirk Augustin & Jens Kruse Andersen) 11-tuplets: 8747677*107# + 4008289033283651 + 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36 (50 digits, May 2006, Dirk Augustin & Jens Kruse Andersen) 8519951*107# + 4108713619105211 + 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36 (50 digits, May 2006, Dirk Augustin & Jens Kruse Andersen) 8486221*107# + 4549290807806861 + 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36 (50 digits, May 2006, Dirk Augustin & Jens Kruse Andersen) 7862516*107# + 4453056384461801 + 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36 (50 digits, May 2006, Dirk Augustin & Jens Kruse Andersen) 9 April 2006 NEW RECORD QUINTUPLET! 283534892623*2500# + 1091261 + 0, 2, 6, 8, 12 (1069 digits, Apr 2006, Norman Luhn) 17 January 2006 New record 6-tuplet!! 328481121285*1000# + 16057 + 0, 4, 6, 10, 12, 16 (427 digits, Jan 2006, Norman Luhn) 5-tuplets 338769039776*1000#+16061 + 0, 2, 6, 8, 12 (427 digits, Jan 2006, Norman Luhn) 319335512503*1000#+16061 + 0, 2, 6, 8, 12 (427 digits, Jan 2006, Norman Luhn) 305727029371*1000#+16061 + 0, 2, 6, 8, 12 (427 digits, Jan 2006, Norman Luhn) 286538245484*1000#+16057 + 0, 4, 6, 10, 12 (427 digits, Jan 2006, Norman Luhn) 282316412894*1000#+16057 + 0, 4, 6, 10, 12 (427 digits, Jan 2006, Norman Luhn) 4 January 2006 New record 7-tuplet! 251733155478*650#+1146779 + 0, 2, 8, 12, 14, 18, 20 (282 digits, Jan 2006, Norman Luhn) 10 October 5005 (63095588824*205881*4001#*(205881*4001#+1)+210)*(205881*4001#-1)/35 + 7, 11, 13 (5132 digits, Oct 2005, Ken Davis) 7 October 2005 New record triplet! (63140956174*205881*4001#*(205881*4001#+1)+210)*(205881*4001#-1)/35 + 1, 5, 7 (5132 digits, Oct 2005, Ken Davis) 21 August 2005 Quadruplets: 18973472837*2503#/35 + 7, +5, +1, -1 (1070 digits, Aug 2005, Gary Chaffey, PRIMO) 2806617687*2400# + 16061 + 0, +2, +6, +8 (1034 digits, Jul 2002, Norman Luhn, APSieve, PFGW, PRIMO) 31950761585*2400# + 16061 + 0, +2, +6, +8 (1034 digits, Jul 2002, Norman Luhn, APSieve, PFGW, PRIMO) 17 August 2005 Quadruplet: 700209251206546*3^2239 -1, +1, +5, +7 (1084 digits, Aug 2005, Michael Gillion & George Woltman) 6 August 2005 8-tuplet: New record!! 12874261020824 * 465# + 88793 + 0, 6, 8, 14, 18, 20, 24, 26 (206 digits, Aug 2005, Norman Luhn) 7-tuplets: 15350892425771 * 465# + 88799 + 0, 2, 8, 12, 14, 18, 20 (206 digits, Aug 2005, Norman Luhn) 11435332301154 * 465# + 88799 + 0, 2, 8, 12, 14, 18, 20 (206 digits, Aug 2005, Norman Luhn) 10556596219791 * 465# + 88799 + 0, 2, 8, 12, 14, 18, 20 (206 digits, Aug 2005, Norman Luhn) 9379898589313 * 465# + 88799 + 0, 2, 8, 12, 14, 18, 20 (206 digits, Aug 2005, Norman Luhn) 8380138890134 * 465# + 88799 + 0, 2, 8, 12, 14, 18, 20 (206 digits, Aug 2005, Norman Luhn) 5585090256052 * 465# + 88799 + 0, 2, 8, 12, 14, 18, 20 (206 digits, Aug 2005, Norman Luhn) 2628700560880 * 465# + 88799 + 0, 2, 8, 12, 14, 18, 20 (206 digits, Aug 2005, Norman Luhn) 3896458717626 * 465# + 88799 + 0, 2, 8, 12, 14, 18, 20 (206 digits, Aug 2005, Norman Luhn) 4183277599517 * 465# + 88799 + 0, 2, 8, 12, 14, 18, 20 (206 digits, Aug 2005, Norman Luhn) 7 June 2005 Triplet: 48208...06813 + 0, -2, -6 (2860 digits, Jun 2005, Caleb Li) 29 April 2005 Quadruplet New record!! The first prime quadruplet of over 2000 digits: 4104082046*4800# + 5651 + 0, 2, 6, 8 (2058 digits, Apr 2005, Norman Luhn, Primo) 8 February 2005 14-tuplet (new record!): 26093748*67# + 383123187762431 + 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48, 50 (33 digits, Feb 2005, Christ van Willegen & Jens Kruse Andersen) 13-tuplets (including new record!): 26697593*67# + 315911634133211 + 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48, 50 (33 digits, Feb 2005, Christ van Willegen & Jens Kruse Andersen) 26307518*67# + 184083066052001 + 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48 (33 digits, Feb 2005, Christ van Willegen & Jens Kruse Andersen) 26093748*67# + 383123187762431 + 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48, 50 (33 digits, Feb 2005, Christ van Willegen & Jens Kruse Andersen) 26093748*67# + 383123187762431 + 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48 (33 digits, Feb 2005, Christ van Willegen & Jens Kruse Andersen) 25478069*67# + 114181562199821 + 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48 (33 digits, Feb 2005, Christ van Willegen & Jens Kruse Andersen) 24970179*67# + 164226895277561 + 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48, 50 (33 digits, Feb 2005, Christ van Willegen & Jens Kruse Andersen) 23320603*67# + 60301221485621 + 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48 (33 digits, Feb 2005, Christ van Willegen & Jens Kruse Andersen) 22996461*67# + 257514231089231 + 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48, 50 (33 digits, Feb 2005, Christ van Willegen & Jens Kruse Andersen) 22865416*67# + 58526097915401 + 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48 (33 digits, Feb 2005, Christ van Willegen & Jens Kruse Andersen) 21736345*67# + 367478503467191 + 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48, 50 (33 digits, Feb 2005, Christ van Willegen & Jens Kruse Andersen) 20821975*67# + 123462852558161 + 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48 (33 digits, Feb 2005, Christ van Willegen & Jens Kruse Andersen) 20030515*67# + 229703032834391 + 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48 (33 digits, Feb 2005, Christ van Willegen & Jens Kruse Andersen) 7 February 2005 9-tuplet (new record!): 90421624808713*300# + 103498931 + 0, 2, 6, 8, 12, 18, 20, 26, 30 (135 digits, 2005, Norman Luhn) 8-tuplets: 118195793431939*300# + 103498931 + 0, 2, 6, 8, 12, 18, 20, 26 (135 digits, 2005, Norman Luhn) 98481667857555*300# + 103498931 + 0, 2, 6, 8, 12, 18, 20, 26 (135 digits, 2005, Norman Luhn) 83957036111044*300# + 103498931 + 0, 2, 6, 8, 12, 18, 20, 26 (135 digits, 2005, Norman Luhn) 78982397556852*300# + 103498931 + 0, 2, 6, 8, 12, 18, 20, 26 (135 digits, 2005, Norman Luhn) 63335525117332*300# + 103498931 + 0, 2, 6, 8, 12, 18, 20, 26 (135 digits, 2005, Norman Luhn) 58873615726847*300# + 103498931 + 0, 2, 6, 8, 12, 18, 20, 26 (135 digits, 2005, Norman Luhn) 51863695886876*300# + 103498931 + 0, 2, 6, 8, 12, 18, 20, 26 (135 digits, 2005, Norman Luhn) 48847229666279*300# + 103498931 + 0, 2, 6, 8, 12, 18, 20, 26 (134 digits, 2005, Norman Luhn) 45808354373434*300# + 103498931 + 0, 2, 6, 8, 12, 18, 20, 26 (134 digits, 2005, Norman Luhn) 41247308549872*300# + 103498931 + 0, 2, 6, 8, 12, 18, 20, 26 (134 digits, 2005, Norman Luhn) 38249210030567*300# + 103498931 + 0, 2, 6, 8, 12, 18, 20, 26 (134 digits, 2005, Norman Luhn) 21396888191461*300# + 103498931 + 0, 2, 6, 8, 12, 18, 20, 26 (134 digits, 2005, Norman Luhn) 20689417923435*300# + 103498931 + 0, 2, 6, 8, 12, 18, 20, 26 (134 digits, 2005, Norman Luhn) 18910076296036*300# + 103498931 + 0, 2, 6, 8, 12, 18, 20, 26 (134 digits, 2005, Norman Luhn) 14349673713720*300# + 103498931 + 0, 2, 6, 8, 12, 18, 20, 26 (134 digits, 2005, Norman Luhn) 7587782150907*300# + 103498931 + 0, 2, 6, 8, 12, 18, 20, 26 (134 digits, 2005, Norman Luhn) 19 January 2005 7-tuplets: 241698051*421# + 186765203741 + 0, 2, 6, 8, 12, 18, 20 (180 digits, 2005, Torbjörn Alm & Jens Kruse Andersen) 230734160*421# + 178028005271 + 0, 2, 6, 8, 12, 18, 20 (180 digits, 2005, Torbjörn Alm & Jens Kruse Andersen) 218857474*421# + 124350941831 + 0, 2, 6, 8, 12, 18, 20 (180 digits, 2005, Torbjörn Alm & Jens Kruse Andersen) 216462875*421# + 121016110331 + 0, 2, 6, 8, 12, 18, 20 (180 digits, 2005, Torbjörn Alm & Jens Kruse Andersen) 213276222*421# + 50201676641 + 0, 2, 6, 8, 12, 18, 20 (180 digits, 2005, Torbjörn Alm & Jens Kruse Andersen) 201082172*421# + 64240191131 + 0, 2, 6, 8, 12, 18, 20 (180 digits, 2005, Torbjörn Alm & Jens Kruse Andersen) 137753476*421# + 45963242441 + 0, 2, 6, 8, 12, 18, 20 (180 digits, 2005, Torbjörn Alm & Jens Kruse Andersen) 132842643*421# + 317708976701 + 0, 2, 6, 8, 12, 18, 20 (180 digits, 2005, Torbjörn Alm & Jens Kruse Andersen) 8-tuplet (new record!): 97510235*421# + 322355908991 + 0, 2, 6, 8, 12, 18, 20, 26 (180 digits, 2005, Torbjörn Alm & Jens Kruse Andersen) 13-tuplet (new record!): 22516115*67# + 73934561215633 + 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (33 digits, 2005, Christ van Willegen & Jens Kruse Andersen) 15 December 2004 11-tuplets: 434217435*89# + 604837794936491 + 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36 (44 digits, 2004, Christ van Willegen & Jens Kruse Andersen) 433836834*89# + 572222091275951 + 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36 (44 digits, 2004, Christ van Willegen & Jens Kruse Andersen) 430012382*89# + 612622023878981 + 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36 (44 digits, 2004, Christ van Willegen & Jens Kruse Andersen) 12-tuplets (new record!): 432589236*89# + 611531575179641 + 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42 (44 digits, 2004, Christ van Willegen & Jens Kruse Andersen) 434161298*89# + 612442658382671 + 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42 (44 digits, 2004, Christ van Willegen & Jens Kruse Andersen) 13-tuplets (new record!): 17068935*67# + 68617798033901 + 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48 (33 digits, 2004, Jens Kruse Andersen) 14413163*67# + 82206776156621 + 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48 (33 digits, 2004, Jens Kruse Andersen) 29 November 2004 15-tuplet (new record!) 99999999948164978600250563546400 + 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67 (32 digits, 2004, Joerg Waldvogel and Peter Leikauf) 25 November 2004 8-tuplet (new record!) 4319152256906 * 400# + 1277 + 0, 2, 6, 12, 14, 20, 24, 26 (174 digits, 2004, Norman Luhn) 19 October 2004 16-tuplet (new record!) 10252256693298561414756287 + 0, 2, 6, 12, 14, 20, 26, 30, 32, 36, 42, 44, 50, 54, 56, 60 (26 digits, 2004, Jens Kruse Andersen) 4-tuplet (Smallest containing 1000 digits) 10^999 + 4114571944591 + 0, 2, 6, 8 (1000 digits, 2004, Norman Luhn) 2 September 2004 7-tuplet (new record!) 76794640264*509# + 5132201 + 0, 2, 6, 8, 12, 18, 20 (223 digits, 2004, Jens Kruse Andersen) 18 August 2004 11-tuplet (new record!) 24698258*239# + 28606476153371 + 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36 (104 digits, 2004, Norman Luhn & Jens Kruse Andersen) 16 August 2004 10-tuplet (new record!) 24698258*239# + 28606476153371 + 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 (104 digits, 2004, Jens Kruse Andersen) 9-tuplets: 18188893*239# + 7597110015611 + 0, 2, 6, 8, 12, 18, 20, 26, 30 (104 digits, 2004, Jens Kruse Andersen) 12023698*239# + 19623646397471 + 0, 2, 6, 8, 12, 18, 20, 26, 30 (104 digits, 2004, Jens Kruse Andersen) 9808759*239# + 9127517704421 + 0, 2, 6, 8, 12, 18, 20, 26, 30 (104 digits, 2004, Jens Kruse Andersen) 14 June 2004 7-tuplet (new record!): 1839198074074 * 500# + 165701 + 0, 2, 6, 8, 12, 18, 20 (219 digits, 2004, Norman Luhn) 11 April 2004 10-tuplet (new record!): 72613488698235 * 227# + 39058751 + 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 (103 digits, 2004, Norman Luhn) 4 April 2004 6-tuplet (new record!): 138765468778 * 850# + 2822707 + 0, 4, 6, 10, 12, 16 (362 digits, 2004, Norman Luhn) 13 March 2004 11-tuplet (new record!): 35078052*157# + 398861548425071 + 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36 (70 digits, 2004, Jens Kruse Andersen & Hans Rosenthal) 10-tuplets: 33744069*157# + 243858308984021 + 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 (70 digits, 2004, Jens Kruse Andersen & Hans Rosenthal) 31812413*157# + 394317153630131 + 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 (70 digits, 2004, Jens Kruse Andersen & Hans Rosenthal) 30972388*157# + 218344297501061 + 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 (70 digits, 2004, Jens Kruse Andersen & Hans Rosenthal) 30758727*157# + 315533630762081 + 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 (70 digits, 2004, Jens Kruse Andersen & Hans Rosenthal) 28595765*157# + 247382879633621 + 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 (70 digits, 2004, Jens Kruse Andersen & Hans Rosenthal) 9-tuplets: 35611584*157# + 357381443899211 + 0, 2, 6, 8, 12, 18, 20, 26, 30 (70 digits, 2004, Jens Kruse Andersen & Hans Rosenthal) 35551427*157# + 366870791136581 + 0, 2, 6, 8, 12, 18, 20, 26, 30 (70 digits, 2004, Jens Kruse Andersen & Hans Rosenthal) 34921413*157# + 369706438721351 + 0, 2, 6, 8, 12, 18, 20, 26, 30 (70 digits, 2004, Jens Kruse Andersen & Hans Rosenthal) 34869829*157# + 251500504825301 + 0, 2, 6, 8, 12, 18, 20, 26, 30 (70 digits, 2004, Jens Kruse Andersen & Hans Rosenthal) 34649780*157# + 244006379346461 + 0, 2, 6, 8, 12, 18, 20, 26, 30 (70 digits, 2004, Jens Kruse Andersen & Hans Rosenthal) 34646370*157# + 244290920863721 + 0, 2, 6, 8, 12, 18, 20, 26, 30 (70 digits, 2004, Jens Kruse Andersen & Hans Rosenthal) 34529382*157# + 291563132059931 + 0, 2, 6, 8, 12, 18, 20, 26, 30 (70 digits, 2004, Jens Kruse Andersen & Hans Rosenthal) 34259318*157# + 180286729462571 + 0, 2, 6, 8, 12, 18, 20, 26, 30 (70 digits, 2004, Jens Kruse Andersen & Hans Rosenthal) 34123325*157# + 399495918691601 + 0, 2, 6, 8, 12, 18, 20, 26, 30 (70 digits, 2004, Jens Kruse Andersen & Hans Rosenthal) 33779718*157# + 339329949788561 + 0, 2, 6, 8, 12, 18, 20, 26, 30 (70 digits, 2004, Jens Kruse Andersen & Hans Rosenthal) 33329291*157# + 236674239381311 + 0, 2, 6, 8, 12, 18, 20, 26, 30 (70 digits, 2004, Jens Kruse Andersen & Hans Rosenthal) 33177905*157# + 277097345895101 + 0, 2, 6, 8, 12, 18, 20, 26, 30 (70 digits, 2004, Jens Kruse Andersen & Hans Rosenthal) 33018845*157# + 344138267652911 + 0, 2, 6, 8, 12, 18, 20, 26, 30 (70 digits, 2004, Jens Kruse Andersen & Hans Rosenthal) 32984758*157# + 342405499115411 + 0, 2, 6, 8, 12, 18, 20, 26, 30 (70 digits, 2004, Jens Kruse Andersen & Hans Rosenthal) 32870362*157# + 169850218547741 + 0, 2, 6, 8, 12, 18, 20, 26, 30 (70 digits, 2004, Jens Kruse Andersen & Hans Rosenthal) 32658373*157# + 216275942302151 + 0, 2, 6, 8, 12, 18, 20, 26, 30 (70 digits, 2004, Jens Kruse Andersen & Hans Rosenthal) 32532625*157# + 302363499517811 + 0, 2, 6, 8, 12, 18, 20, 26, 30 (70 digits, 2004, Jens Kruse Andersen & Hans Rosenthal) 32339837*157# + 178772553289061 + 0, 2, 6, 8, 12, 18, 20, 26, 30 (70 digits, 2004, Jens Kruse Andersen & Hans Rosenthal) 31956600*157# + 366486518307641 + 0, 2, 6, 8, 12, 18, 20, 26, 30 (70 digits, 2004, Jens Kruse Andersen & Hans Rosenthal) 31941875*157# + 197172849693551 + 0, 2, 6, 8, 12, 18, 20, 26, 30 (70 digits, 2004, Jens Kruse Andersen & Hans Rosenthal) 31878257*157# + 196843638130871 + 0, 2, 6, 8, 12, 18, 20, 26, 30 (70 digits, 2004, Jens Kruse Andersen & Hans Rosenthal) 31757608*157# + 317235074586161 + 0, 2, 6, 8, 12, 18, 20, 26, 30 (70 digits, 2004, Jens Kruse Andersen & Hans Rosenthal) 31701261*157# + 172356248173841 + 0, 2, 6, 8, 12, 18, 20, 26, 30 (70 digits, 2004, Jens Kruse Andersen & Hans Rosenthal) 31298843*157# + 240048573034001 + 0, 2, 6, 8, 12, 18, 20, 26, 30 (70 digits, 2004, Jens Kruse Andersen & Hans Rosenthal) 31297374*157# + 191614153540541 + 0, 2, 6, 8, 12, 18, 20, 26, 30 (70 digits, 2004, Jens Kruse Andersen & Hans Rosenthal) 30939891*157# + 324000718120811 + 0, 2, 6, 8, 12, 18, 20, 26, 30 (70 digits, 2004, Jens Kruse Andersen & Hans Rosenthal) 30432384*157# + 252513295464161 + 0, 2, 6, 8, 12, 18, 20, 26, 30 (70 digits, 2004, Jens Kruse Andersen & Hans Rosenthal) 30397690*157# + 270355108373081 + 0, 2, 6, 8, 12, 18, 20, 26, 30 (70 digits, 2004, Jens Kruse Andersen & Hans Rosenthal) 30128449*157# + 286247443441691 + 0, 2, 6, 8, 12, 18, 20, 26, 30 (70 digits, 2004, Jens Kruse Andersen & Hans Rosenthal) 30105377*157# + 289985795258891 + 0, 2, 6, 8, 12, 18, 20, 26, 30 (70 digits, 2004, Jens Kruse Andersen & Hans Rosenthal) 29879746*157# + 317876583133841 + 0, 2, 6, 8, 12, 18, 20, 26, 30 (70 digits, 2004, Jens Kruse Andersen & Hans Rosenthal) 29875334*157# + 378187797957701 + 0, 2, 6, 8, 12, 18, 20, 26, 30 (70 digits, 2004, Jens Kruse Andersen & Hans Rosenthal) 29657216*157# + 318853368012911 + 0, 2, 6, 8, 12, 18, 20, 26, 30 (70 digits, 2004, Jens Kruse Andersen & Hans Rosenthal) 29435036*157# + 231380522783141 + 0, 2, 6, 8, 12, 18, 20, 26, 30 (70 digits, 2004, Jens Kruse Andersen & Hans Rosenthal) 29429306*157# + 402380784245171 + 0, 2, 6, 8, 12, 18, 20, 26, 30 (70 digits, 2004, Jens Kruse Andersen & Hans Rosenthal) 29285201*157# + 386468787394421 + 0, 2, 6, 8, 12, 18, 20, 26, 30 (70 digits, 2004, Jens Kruse Andersen & Hans Rosenthal) 29190157*157# + 177665801963381 + 0, 2, 6, 8, 12, 18, 20, 26, 30 (70 digits, 2004, Jens Kruse Andersen & Hans Rosenthal) 29072345*157# + 386499146913611 + 0, 2, 6, 8, 12, 18, 20, 26, 30 (70 digits, 2004, Jens Kruse Andersen & Hans Rosenthal) 28858478*157# + 199624424689421 + 0, 2, 6, 8, 12, 18, 20, 26, 30 (70 digits, 2004, Jens Kruse Andersen & Hans Rosenthal) 28595567*157# + 325685982922031 + 0, 2, 6, 8, 12, 18, 20, 26, 30 (70 digits, 2004, Jens Kruse Andersen & Hans Rosenthal) 28580717*157# + 310208900080811 + 0, 2, 6, 8, 12, 18, 20, 26, 30 (70 digits, 2004, Jens Kruse Andersen & Hans Rosenthal) 28412934*157# + 277469933270261 + 0, 2, 6, 8, 12, 18, 20, 26, 30 (70 digits, 2004, Jens Kruse Andersen & Hans Rosenthal) 28303151*157# + 212853842450981 + 0, 2, 6, 8, 12, 18, 20, 26, 30 (70 digits, 2004, Jens Kruse Andersen & Hans Rosenthal) 3 March 2004 5-tuplet 912143859*1223# + 463001711 + 0, 2, 6, 8, 12  (522 digits, 2004, Donovan Johnson) 20 February 2004 9-tuplets: 36273553*157# + 106263743005151 + 2, 6, 8, 12, 18, 20, 26, 30, 32 (70 digits, 2004, Hans Rosenthal & Jens Kruse Andersen) 36273553*157# + 106263743005151 + 0, 2, 6, 8, 12, 18, 20, 26, 30 (70 digits, 2004, Hans Rosenthal & Jens Kruse Andersen) 35405054*157# + 143751012544871 + 2, 6, 8, 12, 18, 20, 26, 30, 32 (70 digits, 2004, Hans Rosenthal & Jens Kruse Andersen) 35405054*157# + 143751012544871 + 0, 2, 6, 8, 12, 18, 20, 26, 30 (70 digits, 2004, Hans Rosenthal & Jens Kruse Andersen) 34101658*157# + 164826429367331 + 2, 6, 8, 12, 18, 20, 26, 30, 32 (70 digits, 2004, Hans Rosenthal & Jens Kruse Andersen) 34101658*157# + 164826429367331 + 0, 2, 6, 8, 12, 18, 20, 26, 30 (70 digits, 2004, Hans Rosenthal & Jens Kruse Andersen) 33395983*157# + 49822093470881 + 2, 6, 8, 12, 18, 20, 26, 30, 32 (70 digits, 2004, Hans Rosenthal & Jens Kruse Andersen) 10-tuplets (new record!): 36273553*157# + 106263743005151 + 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 (70 digits, 2004, Hans Rosenthal & Jens Kruse Andersen) 35405054*157# + 143751012544871 + 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 (70 digits, 2004, Hans Rosenthal & Jens Kruse Andersen) 34101658*157# + 164826429367331 + 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 (70 digits, 2004, Hans Rosenthal & Jens Kruse Andersen) 33395983*157# + 49822093470881 + 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 (70 digits, 2004, Hans Rosenthal & Jens Kruse Andersen) 11-tuplet (new record!): 34101658*157# + 164826429367331 + 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36 (70 digits, 2004, Hans Rosenthal & Jens Kruse Andersen) 5 January 2004 10-tuplets: 57022698378906*130# + 21816911 + 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 (63 digits, 2004, Norman Luhn) 41722868532499*130# + 21816911 + 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 (63 digits, 2004, Norman Luhn) 38086699157880*130# + 21816911 + 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 (63 digits, 2004, Norman Luhn) 31093147787913*130# + 21816911 + 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 (63 digits, 2004, Norman Luhn) 19998478341508*130# + 21816911 + 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 (62 digits, 2004, Norman Luhn) 11812549844873*130# + 21816911 + 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 (62 digits, 2004, Norman Luhn) 25 December 2003 11-tuplet (New record!) 92119245478633*130# + 21816911 + 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36 (63 digits, 2003, Norman Luhn) 8 December 2003 10-tuplet (New record!) 101916144*140# + 4430162371751 + 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 (64 digits, 2003, Torbjörn Alm & Jens Kruse Andersen) 9-tuplets: 109609514*140# + 1345955005511 + 0, 2, 6, 8, 12, 18, 20, 26, 30 (64 digits, 2003, Torbjörn Alm & Jens Kruse Andersen) 108176859*140# + 619615191311 + 0, 2, 6, 8, 12, 18, 20, 26, 30 (64 digits, 2003, Torbjörn Alm & Jens Kruse Andersen) 107438197*140# + 1306948197671 + 0, 2, 6, 8, 12, 18, 20, 26, 30 (64 digits, 2003, Torbjörn Alm & Jens Kruse Andersen) 107411822*140# + 1558626204251 + 0, 2, 6, 8, 12, 18, 20, 26, 30 (64 digits, 2003, Torbjörn Alm & Jens Kruse Andersen) 102957975*140# + 1634493245501 + 0, 2, 6, 8, 12, 18, 20, 26, 30 (64 digits, 2003, Torbjörn Alm & Jens Kruse Andersen) 101916144*140# + 4430162371751 + 2, 6, 8, 12, 18, 20, 26, 30, 32 (64 digits, 2003, Torbjörn Alm & Jens Kruse Andersen) 101916144*140# + 4430162371751 + 0, 2, 6, 8, 12, 18, 20, 26, 30 (64 digits, 2003, Torbjörn Alm & Jens Kruse Andersen) 27 November 2003 10-tuplet (New record!) 50734299843911*130# + 21816911 + 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 (63 digits, 2003, Norman Luhn) 16 October 2003 15-tuplets (New record!) 1251030012595955901312188450381 + 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48, 50, 56 (31 digits, 2003, Hans Rosenthal & Jens Kruse Andersen) 1100916249233879857334075234831 + 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48, 50, 56 (31 digits, 2003, Hans Rosenthal & Jens Kruse Andersen) 13-tuplets 1257591593802714326007187781561 + 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48 (31 digits, 2003, Hans Rosenthal & Jens Kruse Andersen) 1184766651374742349271516393351 + 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48 (31 digits, 2003, Hans Rosenthal & Jens Kruse Andersen) 8 September 2003 10-tuplets 13727074*140# + 700992913706201 + 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 (63 digits, 2003, Torbjörn Alm & Jens Kruse Andersen) 18129955*135# + 2713978021871 + 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 (58 digits, 2003, Jens Kruse Andersen) 17061626*135# + 1444660912811 + 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 (58 digits, 2003, Jens Kruse Andersen) 15350093*135# + 3063238183121 + 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 (58 digits, 2003, Jens Kruse Andersen) 13260351*135# + 339749224931 + 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 (58 digits, 2003, Jens Kruse Andersen) 11166335*135# + 3185060884121 + 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 (58 digits, 2003, Jens Kruse Andersen) 28 August 2003 10-tuplets (New record!) 19479468*140# + 500922766899671 + 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 (63 digits, 2003, Torbjörn Alm & Jens Kruse Andersen) 18009876*140# + 500942522555591 + 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 (63 digits, 2003, Torbjörn Alm & Jens Kruse Andersen) 9-tuplets 19843331*140# + 500712995788121 + 0, 2, 6, 8, 12, 18, 20, 26, 30 (63 digits, 2003, Torbjörn Alm & Jens Kruse Andersen) 19100682*140# + 500613590812451 + 0, 2, 6, 8, 12, 18, 20, 26, 30 (63 digits, 2003, Torbjörn Alm & Jens Kruse Andersen) 15697534*140# + 500145121100741 + 0, 2, 6, 8, 12, 18, 20, 26, 30 (63 digits, 2003, Torbjörn Alm & Jens Kruse Andersen) 25 August 2003 8-tuplet (New record!) 65677369861*380# + 18000020393471 + 0, 2, 6, 8, 12, 18, 20, 26 (165 digits, 2003, Torbjörn Alm & Jens Kruse Andersen) 7-tuplets 94567793996*380# + 1008002460581 + 0, 2, 6, 8, 12, 18, 20 (165 digits, 2003, Jens Kruse Andersen) 84747482682*380# + 1008002460581 + 0, 2, 6, 8, 12, 18, 20 (165 digits, 2003, Jens Kruse Andersen) 68321690868*380# + 7000220132021 + 0, 2, 6, 8, 12, 18, 20 (165 digits, 2003, Torbjörn Alm & Jens Kruse Andersen) 67134110757*380# + 4000041600671 + 0, 2, 6, 8, 12, 18, 20 (165 digits, 2003, Torbjörn Alm & Jens Kruse Andersen) 66221497307*380# + 6000305546351 + 0, 2, 6, 8, 12, 18, 20 (165 digits, 2003, Torbjörn Alm & Jens Kruse Andersen) 65677369861*380# + 18000020393471 + 0, 2, 6, 8, 12, 18, 20 (165 digits, 2003, Torbjörn Alm & Jens Kruse Andersen) 62952148129*380# + 8000060813861 + 0, 2, 6, 8, 12, 18, 20 (165 digits, 2003, Torbjörn Alm & Jens Kruse Andersen) 62302274949*380# + 9000004768871 + 0, 2, 6, 8, 12, 18, 20 (165 digits, 2003, Torbjörn Alm & Jens Kruse Andersen) 17 August 2003 9-tuplet (New record!) 1619062142 * 255# + 53344165991 + 0, 2, 6, 8, 12, 18, 20, 26, 30 (111 digits, Thomas Wolter & Jens Kruse Andersen)   8 tuplets 1682472070 * 255# + 50281045931 + 0, 2, 6, 8, 12, 18, 20, 26 (111 digits, Thomas Wolter & Jens Kruse Andersen) 1650559649 * 255# + 32262655541 + 0, 2, 6, 8, 12, 18, 20, 26 (111 digits, Thomas Wolter & Jens Kruse Andersen) These 306-digit k-tuplets were found by Torbjörn Alm with my program: 6-tuplet (New record!) 8398544501*710# + 2000472907 + 0, 4, 6, 10, 12, 16 (306 digits, 2003, Torbjörn Alm & Jens Kruse Andersen, VFYPR) 5-tuplets 8420254442*710# + 1000172347 + 0, 4, 6, 10, 12 (306 digits, 2003, Torbjörn Alm & Jens Kruse Andersen, VFYPR) 13 August 2003 13-tuplet (New record!) 129017282*65# + 3001560376931 + 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48 (32 digits, 2003, Torbjörn Alm & Jens Kruse Andersen) 12 August 2003 10-tuplets 1528484864616*103# + 21816911 + 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 (53 digits, 2003, Jens Kruse Andersen) 83307443*110# + 10782051850301 + 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 (53 digits, 2003, Thomas Wolter & Jens Kruse Andersen) 82882198*110# + 10249157188001 + 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 (53 digits, 2003, Thomas Wolter & Jens Kruse Andersen) 78635717*110# + 11494283029961 + 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 (53 digits, 2003, Thomas Wolter & Jens Kruse Andersen) 73528025*110# + 1648806659231 + 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 (53 digits, 2003, Jens Kruse Andersen) 68157058*110# + 10980991921631 + 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 (53 digits, 2003, Thomas Wolter & Jens Kruse Andersen) 761160494440*103# + 14699801 + 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 (53 digits, 2003, Jens Kruse Andersen) 11-tuplets (New record!) 58187756*110# + 2320048690691 + 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36 (53 digits, 2003, Jens Kruse Andersen) 9 August 2003 13-tuplets 584834012*60# + 2369998485971 + 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48, 50 (31 digits, 2003, Thomas Wolter & Jens Kruse Andersen) 584834012*60# + 2369998485971 + 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48 (31 digits, 2003, Thomas Wolter & Jens Kruse Andersen) 14-tuplet (New record!) 584834012*60# + 2369998485971 + 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48, 50 (31 digits, 2003, Thomas Wolter & Jens Kruse Andersen) 3 August 2003 8-tuplets 3630285330832*130# + 258101 + 6, 8, 12, 18, 20, 26, 30, 32 (62 digits, 2003, Thomas Wolter & Jens Kruse Andersen) 3630285330832*130# + 258101 + 0, 2, 6, 8, 12, 18, 20, 26 (62 digits, 2003, Thomas Wolter & Jens Kruse Andersen) 3491865276382*130# + 258101 + 0, 2, 6, 8, 12, 18, 20, 26 (62 digits, 2003, Thomas Wolter & Jens Kruse Andersen) 3101419147158*130# + 258101 + 0, 2, 6, 8, 12, 18, 20, 26 (62 digits, 2003, Thomas Wolter & Jens Kruse Andersen) 9-tuplets 3630285330832*130# + 258101 + 2, 6, 8, 12, 18, 20, 26, 30, 32 (62 digits, 2003, Thomas Wolter & Jens Kruse Andersen) 3630285330832*130# + 258101 + 0, 2, 6, 8, 12, 18, 20, 26, 30 (62 digits, 2003, Thomas Wolter & Jens Kruse Andersen) 3491865276382*130# + 258101 + 0, 2, 6, 8, 12, 18, 20, 26, 30 (62 digits, 2003, Thomas Wolter & Jens Kruse Andersen) 3101419147158*130# + 258101 + 0, 2, 6, 8, 12, 18, 20, 26, 30 (62 digits, 2003, Thomas Wolter & Jens Kruse Andersen) 2993013444907*130# + 258101 + 0, 2, 6, 8, 12, 18, 20, 26, 30 (62 digits, 2003, Thomas Wolter & Jens Kruse Andersen) 2930952180158*130# + 258101 + 0, 2, 6, 8, 12, 18, 20, 26, 30 (62 digits, 2003, Thomas Wolter & Jens Kruse Andersen) 2856085880609*130# + 258101 + 0, 2, 6, 8, 12, 18, 20, 26, 30 (62 digits, 2003, Thomas Wolter & Jens Kruse Andersen) 10-tuplet (New record!) 3630285330832*130# + 258101 + 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 (62 digits, 2003, Thomas Wolter & Jens Kruse Andersen) 9544892269415*101# + 39058751 + 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 (52 digits, 2003, Norman Luhn) 11-tuplet (New record!) 11450665899501*101# + 39058751 + 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36 (52 digits, 2003, Norman Luhn) 12-tuplets 720345861287087*70# + 8393501 + 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42 (40 digits, 2003, Norman Luhn) 564115572162757*70# + 8393501 + 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42 (40 digits, 2003, Norman Luhn) 412477355651067*70# + 8393501 + 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42 (40 digits, 2003, Norman Luhn) 186519833921143*70# + 8393501 + 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42 (40 digits, 2003, Norman Luhn) 130171389197721*70# + 8393501 + 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42 (40 digits, 2003, Norman Luhn) 30 July 2003 7-tuplet (New record!) 94552004441*410# + 165701 + 0, 2, 6, 8, 12, 18, 20 (178 digits, 2003, Jens Kruse Andersen) 11-tuplets 757692469598*80# + 15840941 + 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36 (43 digits, 2003, Jens Kruse Andersen) 332352838383*80# + 38458151 + 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36 (43 digits, 2003, Jens Kruse Andersen) 12-tuplet (New record!) 332352838383*80# + 38458151 + 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42 (43 digits, 2003, Jens Kruse Andersen) 25 July 2003 6-tuplets 4657194227*240# + 16057 + 0, 4, 6, 10, 12, 16 (106 digits, 2003, Jens Kruse Andersen) 4178187661*240# + 16057 + 0, 4, 6, 10, 12, 16 (106 digits, 2003, Jens Kruse Andersen) 4155986110*240# + 16057 + 0, 4, 6, 10, 12, 16 (106 digits, 2003, Jens Kruse Andersen) 12-tuplets 1373982090005*55# + 9825701 + 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42 (32 digits, 2003, Jens Kruse Andersen) 1303738474751*55# + 9825701 + 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42 (32 digits, 2003, Jens Kruse Andersen) 1157827564340*55# + 61026851 + 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42 (32 digits, 2003, Jens Kruse Andersen) 988779997913*55# + 36922001 + 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42 (32 digits, 2003, Jens Kruse Andersen) 826679367331*55# + 61957781 + 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42 (32 digits, 2003, Jens Kruse Andersen) 383109886120*55# + 36922001 + 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42 (32 digits, 2003, Jens Kruse Andersen) 5953176232124*50# + 9564671 + 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42 (31 digits, 2003, Jens Kruse Andersen) 13-tuplet (New record!) 5953176232124*50# + 9564671 + 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48 (31 digits, 2003, Jens Kruse Andersen) 12 July 2003 8-tuplets 1191819341413*130# + 258101 + 0, 2, 6, 8, 12, 18, 20, 26 (61 digits, 2003, Jens Kruse Andersen) 599161493631*130# + 258101 + 0, 2, 6, 8, 12, 18, 20, 26 (61 digits, 2003, Jens Kruse Andersen) 504610004802*130# + 872141 + 6, 8, 12, 18, 20, 26, 30, 32 (61 digits, 2003, Jens Kruse Andersen) 504610004802*130# + 872141 + 0, 2, 6, 8, 12, 18, 20, 26 (61 digits, 2003, Jens Kruse Andersen) 9-tuplets 1191819341413*130# + 258101 + 0, 2, 6, 8, 12, 18, 20, 26, 30 (61 digits, 2003, Jens Kruse Andersen) 599161493631*130# + 258101 + 0, 2, 6, 8, 12, 18, 20, 26, 30 (61 digits, 2003, Jens Kruse Andersen) 504610004802*130# + 872141 + 2, 6, 8, 12, 18, 20, 26, 30, 32 (61 digits, 2003, Jens Kruse Andersen) 504610004802*130# + 872141 + 0, 2, 6, 8, 12, 18, 20, 26, 30 (61 digits, 2003, Jens Kruse Andersen) 468215211281*130# + 258101 + 0, 2, 6, 8, 12, 18, 20, 26, 30 (61 digits, 2003, Jens Kruse Andersen) 424062795040*130# + 258101 + 0, 2, 6, 8, 12, 18, 20, 26, 30 (61 digits, 2003, Jens Kruse Andersen) 396182421244*130# + 258101 + 0, 2, 6, 8, 12, 18, 20, 26, 30 (61 digits, 2003, Jens Kruse Andersen) 10-tuplets (New record!) 504610004802*130# + 872141 + 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 (61 digits, 2003, Jens Kruse Andersen) 946772106455*90# + 872141 + 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 (47 digits, 2003, Jens Kruse Andersen) 770769351225*90# + 872141 + 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 (47 digits, 2003, Jens Kruse Andersen) 504123432424*90# + 872141 + 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 (47 digits, 2003, Jens Kruse Andersen) 263753945647*90# + 872141 + 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 (46 digits, 2003, Jens Kruse Andersen) 219541663400*90# + 872141 + 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 (46 digits, 2003, Jens Kruse Andersen) 138941939395*90# + 9465341 + 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 (46 digits, 2003, Jens Kruse Andersen) 31348534011*90# + 846731 + 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 (45 digits, 2003, Jens Kruse Andersen) 11-tuplet (New record!) 946772106455*90# + 872141 + 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36 (47 digits, 2003, Jens Kruse Andersen) 5 July 2003 And another new triplet record! (62258488321368*3331#*(1037*3331#+1)+210)*(1037*3331#-1)/35 + 5, + 7, + 11 (4259 digits, 2003, David Broadhurst) 4 July 2003 New triplet record! (22877907949788*3331#*(1037*3331#+1)+210)*(1037*3331#-1)/35 + 5, + 7, + 11 (4259 digits, 2003, David Broadhurst) 12 June 2003 9-tuplet: 2242445342405*230# + 39058751 + 0, 2, 6, 8, 12, 18, 20, 26, 30 (104 digits, 2003, Norman Luhn) 14 April 2003 119488020007747*70# + 8393501 + 0, 2, 6, 8, 12, 16, 20, 26, 30, 32, 36, 42 (39 digits, 2003, Norman Luhn) 226360040123235*70# + 8393501 + 0, 2, 6, 8, 12, 16, 20, 26, 30, 32, 36 (40 digits, 2003, Norman Luhn) 116936663105935*70# + 8393501 + 0, 2, 6, 8, 12, 16, 20, 26, 30, 32, 36 (39 digits, 2003, Norman Luhn) 111173136421173*70# + 8393501 + 0, 2, 6, 8, 12, 16, 20, 26, 30, 32, 36 (39 digits, 2003, Norman Luhn) 95959443394183*70# + 8393501 + 0, 2, 6, 8, 12, 16, 20, 26, 30, 32, 36 (39 digits, 2003, Norman Luhn) 63162865421965*70# + 8393501 + 0, 2, 6, 8, 12, 16, 20, 26, 30, 32, 36 (39 digits, 2003, Norman Luhn) 48056992102575*70# + 8393501 + 0, 2, 6, 8, 12, 16, 20, 26, 30, 32, 36 (39 digits, 2003, Norman Luhn) 46249936263407*70# + 8393501 + 0, 2, 6, 8, 12, 16, 20, 26, 30, 32, 36 (39 digits, 2003, Norman Luhn) 44487029663629*70# + 8393501 + 0, 2, 6, 8, 12, 16, 20, 26, 30, 32, 36 (39 digits, 2003, Norman Luhn) 39730901919589*70# + 8393501 + 0, 2, 6, 8, 12, 16, 20, 26, 30, 32, 36 (39 digits, 2003, Norman Luhn) 28391456671303*70# + 8393501 + 0, 2, 6, 8, 12, 16, 20, 26, 30, 32, 36 (39 digits, 2003, Norman Luhn) 19761657491139*70# + 8393501 + 0, 2, 6, 8, 12, 16, 20, 26, 30, 32, 36 (39 digits, 2003, Norman Luhn) 14708622867577*70# + 8393501 + 0, 2, 6, 8, 12, 16, 20, 26, 30, 32, 36 (39 digits, 2003, Norman Luhn) 13460442215145*70# + 8393501 + 0, 2, 6, 8, 12, 16, 20, 26, 30, 32, 36 (39 digits, 2003, Norman Luhn) 11607911626691*70# + 8393501 + 0, 2, 6, 8, 12, 16, 20, 26, 30, 32, 36 (38 digits, 2003, Norman Luhn) 5623401337989*70# + 8393501 + 0, 2, 6, 8, 12, 16, 20, 26, 30, 32, 36 (38 digits, 2003, Norman Luhn) 3798824085403*70# + 8393501 + 0, 2, 6, 8, 12, 16, 20, 26, 30, 32, 36 (38 digits, 2003, Norman Luhn) 9 February 2003 New quadruplet record! 11024895887*3500# + 855731 +0, 2, 6, 8 (2003, 1491 digits, Norman Luhn, Primo) 12 January 2003 1551399520415*70# + 8393501 + 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36 (2003, 38 digits, Norman Luhn, Powerbasic, Ubasic, VFYPR ) 28 September 2002 New triplet record! (108748629354*4436*3251#*(4436*3251#+1)+210)*(4436*3251#-1)/35 + 7, + 11, + 13 (4135 digits, David Broadhurst, PFGW) (18599651274*4436*3251#*(4436*3251#+1)+210)*(4436*3251#-1)/35 + 7, + 11, +13 (4134 digits, David Broadhurst, PFGW) 27 September 2002 (90159302514*4436*3251#*(4436*3251#+1)+210)*(4436*3251#-1)/35 + 5, + 7, + 11 (4135 digits, David Broadhurst, PFGW) (39553075974*4436*3251#*(4436*3251#+1)+210)*(4436*3251#-1)/35 + 5, + 7, + 11 (4135 digits, David Broadhurst, PFGW) 18 August 2002 4000-digit triplet! (61504372896*5119*3163#*(5119*3163#+1)+210)*(5119*3163#-1)/35 + 5, + 7, + 11 (4019 digits, David Broadhurst, PFGW) 30 July 2002 1000-digit quintuplet! 31969211688*2400#+16061 + 0, 2, 6, 8, 12 (1034 digits, 2002, Norman Luhn, APSieve, PFGW, PRIMO) 13 July 2002 10000-bit Triplet: 813529138*1939938^500 -1, +1, +5 (3153 digits, Norman Luhn, NewPgen, PFGW, PRIMO) 12 May 2002 19685846183*1200# + 6005891 + 0, 2, 6, 8, 12 (511, digits, Norman Luhn, PRIMO) 7 May 2002 8-tuplet: 15234072433401 * 375# + 43813839521 + 0, 2, 6, 8, 12, 18, 20, 26 (164 digits, 2002, Norman Luhn, VFYPR) 13 April 2002 Quintuplet: 14519751105*1050# + 1042090781 + 0, 2, 6, 8, 12 (450 digits, 2002, Michael Hannigan) 22 March 2002 9-tuplet: 223223099991*131# + 258101 + 0, 2, 6, 8, 10, 18, 20, 26, 30 (63 digits, 2002, Michael Hannigan) 24 February 2002 Quadruplet: 10271674954*2999# + 3461 + 0, 2, 6, 8 (1284 digits, 2002, Michael Bell, Michael Davison, Matt Jack, Ronald Lau, Graeme Leese and Ben Lowing) 15 December 2001 Triplet: 1281774717*2^9004 -1, +1, +5 (2720 digits, 2001, Reto Keiser, NewPgen, Primo) 21 November 2001 15-tuplet: 17905159760365247387 + 0, 2, 6, 12, 14, 20, 24, 26, 30, 36, 42, 44, 50, 54, 56 (20 digits, 2001, Jim Morton) 5 November 2001 12-tuplet 5027317106963*75# + 1418575498567 + 0, 6, 10, 12, 16, 22, 24, 30, 34, 36, 40, 42 (42 digits, 2001, Norman Luhn) 18 October 2001 6-tuplet: 110282080125*700# + 6005887 + 0, 4, 6, 10, 12, 16 (301 digits, 2001, Norman Luhn, PRIMO) 5-tuplet: 153992076979*700# + 6005887 + 0, 4, 6, 10, 12 (301 digits, 2001, Norman Luhn, PRIMO) 5-tuplet: 126232090357*700# + 6005887 + 0, 4, 6, 10, 12 (301 digits, 2001, Norman Luhn, PRIMO) 5-tuplet: 85001892645*700# + 6005887 + 0, 4, 6, 10, 12 (300 digits, 2001, Norman Luhn, PRIMO) 5-tuplet: 10351620147*700# + 6005887 + 0, 4, 6, 10, 12 (300 digits, 2001, Norman Luhn, PRIMO) 15 October 2001 15-tuplet: 44360646117391789301 + 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48, 50, 56 (20 digits, 2001, Tom Hadley) 27 September 2001 Triplet: 81333879*6000#+10114033337 + 0, 2, 6 (2568 digits, 2001, Norman Luhn, PFGW, PRIMO) 4 September 2001 11-tuplet: 3676296453875*80# + 10527733922591 + 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36 (44 digits, 2001, Norman Luhn) 10-tuplet: 3550189241051*80# + 10527733922591 + 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 (44 digits, 2001, Norman Luhn) 10-tuplet: 2629239228317*80# + 10527733922591 + 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 (43 digits, 2001, Norman Luhn) 10-tuplet: 2061449204749*80# + 10527733922591 + 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 (43 digits, 2001, Norman Luhn) 10-tuplet: 2041030972013*80# + 10527733922591 + 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 (43 digits, 2001, Norman Luhn) 10-tuplet: 1655217690455*80# + 10527733922591 + 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 (43 digits, 2001, Norman Luhn) 23 August 2001 10 tuplet: 172831780223*120# + 10527733922591 + 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 (58 digits, 2001, Norman Luhn) 9 tuplet: 354919631791*120# + 10527733922591 + 0, 2, 6, 8, 12, 18, 20, 26, 30 (59 digits, 2001, Norman Luhn) 9 tuplet: 137204068337*120# + 10527733922591 + 0, 2, 6, 8, 12, 18, 20, 26, 30 (58 digits, 2001, Norman Luhn) 8-tuplet: 663256957757*120# + 10527733922591 + 0, 2, 6, 8, 12, 18, 20, 26 (59 digits, 2001, Norman Luhn) 8-tuplet: 653650912095*120# + 10527733922591 + 0, 2, 6, 8, 12, 18, 20, 26 (59 digits, 2001, Norman Luhn) 8-tuplet: 640812573245*120# + 10527733922591 + 0, 2, 6, 8, 12, 18, 20, 26 (59 digits, 2001, Norman Luhn) 8-tuplet: 632618207777*120# + 10527733922591 + 0, 2, 6, 8, 12, 18, 20, 26 (59 digits, 2001, Norman Luhn) 8-tuplet: 609413256327*120# + 10527733922591 + 0, 2, 6, 8, 12, 18, 20, 26 (59 digits, 2001, Norman Luhn) 8-tuplet: 600423265819*120# + 10527733922591 + 0, 2, 6, 8, 12, 18, 20, 26 (59 digits, 2001, Norman Luhn) 8-tuplet: 343716185689*120# + 10527733922591 + 0, 2, 6, 8, 12, 18, 20, 26 (59 digits, 2001, Norman Luhn) 8-tuplet: 307947615259*120# + 10527733922591 + 0, 2, 6, 8, 12, 18, 20, 26 (58 digits, 2001, Norman Luhn) 16 August 2001 Septuplet: 497423806097*400# + 380284918609481 + 0, 2, 6, 8, 12, 18, 20 (173 digits, 2001, Norman Luhn) 31 July 2001 Quadruplet: 109267227191*2500# + 10531091 + 0, 2, 6, 8 (1068 digits, 2001, Norman Luhn, PFGW, PRIMO) 26 June 2001 Octuplet: 243551752728*320# + 1277 + 0, 2, 6, 12, 14, 20, 24, 26 (142 digits, 2001, Graeme Leese, Michael Bell, Matt Jack, Michael Davison, Ben Lowing, Tim Nightingale, APSieve and Titanix) 7 May 2001 5-tuplet: 63687452535*1000# + 1002054791 + 0, 2, 6, 8, 12 (427 digits, 2001, Norman Luhn, PFGW, VFYPR) 2 May 2001 K 17 163027495131423420474913 + 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60, 66 (2001, 24 digits, Peter Leikauf and Joerg Waldvogel) K 17 110885131130067570042703 + 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60, 66 (2001, 24 digits, Peter Leikauf and Joerg Waldvogel) K 17 83405687980406998933663 + 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60, 66 (2001, 23 digits, Peter Leikauf and Joerg Waldvogel) K 17 78314167738064529047713 + 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60, 66 (2001, 23 digits, Peter Leikauf and Joerg Waldvogel) K 17 47624415490498763963983 + 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60, 66 (2001, 23 digits, Peter Leikauf and Joerg Waldvogel) 10 April 2001 6-tuplet: 97953153175*670# + 16057 + 0, 4, 6, 10, 12, 16 (290 digits, 2001, Michael Bell, Graeme Leese, Michael Davison, APSieve and Titanix) 29 March 2001 Twins: 1807318575 * 2^98305 +/- 1 (29603 digits, 2001, David Underbakke & Phil Carmody) Triplets: 1852468459*4999#/35 -1, +1, +5 (2141 digits, 2001, Rosenthal, Jobling, VFYPR, PFGW) Triplets: 1042334284*4999#/35 -1, +1, +5 (2141 digits, 2001, Rosenthal, Jobling, VFYPR, PFGW) Triplets: 177229114*4999#/35 -1, +1, +5 (2140 digits, 2001, Rosenthal, Jobling, VFYPR, PFGW) 26 February 2001 Triplets: 1279378536*4993#/35 -5, -1, +1 (2137 digits, 2001, Rosenthal, Jobling, VFYPR, PFGW) Triplets: 508157676*4993#/35 -1, +1, +5 (2137 digits, 2001, Rosenthal, Jobling, VFYPR, PFGW) Triplets: 122194876*4993#/35 -1, +1, +5 (2136 digits, 2001, Rosenthal, Jobling, VFYPR, PFGW) 23 February 2001 K 9 388793398651*250# + 1042090781 + 0, 2, 6, 8, 12, 18, 20, 26, 30 (110 digits, 2001, Norman Luhn) K 7 367186669917*250# + 1042090781 + 0, 2, 6, 8, 12, 18, 20 (110 digits, 2001, Norman Luhn) K 7 341082382285*250# + 1042090781 + 0, 2, 6, 8, 12, 18, 20 (110 digits, 2001, Norman Luhn) K 7 309028110381*250# + 1042090781 + 0, 2, 6, 8, 12, 18, 20 (110 digits, 2001, Norman Luhn) K 7 211798987423*250# + 1042090781 + 0, 2, 6, 8, 12, 18, 20 (110 digits, 2001, Norman Luhn) K 7 194874572727*250# + 1042090781 + 0, 2, 6, 8, 12, 18, 20 (110 digits, 2001, Norman Luhn) K 7 162219575409*250# + 1042090781 + 0, 2, 6, 8, 12, 18, 20 (110 digits, 2001, Norman Luhn) K 7 147833310537*250# + 1042090781 + 0, 2, 6, 8, 12, 18, 20 (110 digits, 2001, Norman Luhn) K 7 147418125173*250# + 1042090781 + 0, 2, 6, 8, 12, 18, 20 (110 digits, 2001, Norman Luhn) K 7 58838104843*250# + 1042090781 + 0, 2, 6, 8, 12, 18, 20 (110 digits, 2001, Norman Luhn) K 7 40748175917*250# + 1042090781 + 0, 2, 6, 8, 12, 18, 20 (110 digits, 2001, Norman Luhn) K 7 45741427235*250# + 1042090781 + 0, 2, 6, 8, 12, 18, 20 (110 digits, 2001, Norman Luhn) K 6 10^100 + 6763998516837 + 0, 4, 6, 10, 12, 16 (101 digits, 2001, Norman Luhn) 12 February 2001 K 13 23103299697259151848713358139 + 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (2001, 29 digits, TF) K 13 20053548843535220950288365029 + 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (2001, 29 digits, TF) K 13 16824104622097306642757806093 + 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (2001, 29 digits, TF) K 13 7048103109527220036084225373 + 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (2001, 28 digits, TF) 2 February 2001 18-tuplet: 1906230835046648293290043 + 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60, 66, 70 (25 digits, 2001, Joerg Waldvogel & Peter Leikauf) 29 January 2001 6-tuplet: 86450022463*570# + 1000000587445747 + 0, 4, 6, 10, 12, 16 (242 digits, 2001, Norman Luhn) 5-tuplets: 85916873579*570# + 1000000587445747 + 0, 4, 6, 10, 12 (242 digits, 2001, Norman Luhn) 84291055377*570# + 1000000587445747 + 0, 4, 6, 10, 12 (242 digits, 2001, Norman Luhn) 84271433877*570# + 1000000587445747 + 0, 4, 6, 10, 12 (242 digits, 2001, Norman Luhn) 56237183505*570# + 1000000587445747 + 0, 4, 6, 10, 12 (242 digits, 2001, Norman Luhn) 52678385407*570# + 1000000587445747 + 0, 4, 6, 10, 12 (242 digits, 2001, Norman Luhn) 51402153281*570# + 1000000587445747 + 0, 4, 6, 10, 12 (242 digits, 2001, Norman Luhn) 48397838885*570# + 1000000587445747 + 0, 4, 6, 10, 12 (242 digits, 2001, Norman Luhn) 47293971709*570# + 1000000587445747 + 0, 4, 6, 10, 12 (242 digits, 2001, Norman Luhn) 44153204655*570# + 1000000587445747 + 0, 4, 6, 10, 12 (242 digits, 2001, Norman Luhn) 43647265335*570# + 1000000587445747 + 0, 4, 6, 10, 12 (242 digits, 2001, Norman Luhn) 43048346163*570# + 1000000587445747 + 0, 4, 6, 10, 12 (242 digits, 2001, Norman Luhn) 37895666383*570# + 1000000587445747 + 0, 4, 6, 10, 12 (242 digits, 2001, Norman Luhn) 36040371675*570# + 1000000587445747 + 0, 4, 6, 10, 12 (242 digits, 2001, Norman Luhn) 23247713083*570# + 1000000587445747 + 0, 4, 6, 10, 12 (242 digits, 2001, Norman Luhn) 22538139017*570# + 1000000587445747 + 0, 4, 6, 10, 12 (242 digits, 2001, Norman Luhn) 20199942411*570# + 1000000587445747 + 0, 4, 6, 10, 12 (241 digits, 2001, Norman Luhn) 24 January 2001 Triplet: 1855266543*4987#/35 -1, +1, +5 (2134 digits, 2001, Rosenthal, Jobling, VFYPR, PFGW) Triplet: 1677761138*4987#/35 -1, +1, +5 (2134 digits, 2001, Rosenthal, Jobling, VFYPR, PFGW) Triplet: 871453243*4987#/35 -5, -1, +1 (2134 digits, 2001, Rosenthal, Jobling, VFYPR, PFGW) Triplet: 388838923*4987#/35 -1, +1, +5 (2133 digits, 2000, Rosenthal, Jobling, VFYPR, PFGW) 11 January 2001 Triplet: 10^2048 + 418590204063 + 0, 4, 6 (2049 digits, 2001, Norman Luhn) 4 January 2001 Quintuplet: 97844425*565#+1000000587445747 + 0, 4, 6, 10, 12 (236 digits, 2001, Norman Luhn) Quintuplet: 730449617*560#+1000000587445747 + 0, 4, 6, 10, 12 (235 digits, 2001, Norman Luhn) 2 January 2001 Quintuplet: 8219503*550# + 1000000587445747 + 0, 4, 6, 10, 12 (230 digits, 2001, Norman Luhn) Septuplet: 60922342070*350# + 5639 +0, 2, 8, 12, 14, 18, 20 (152 digits, 2001, Michael Bell, PFGW, Titanix) 26 December 2000 Quintuplet: 3242281037*900#+1867 + 0, 4, 6, 10, 12 (384 digits, 2000, Michael Bell, PFGW, Titanix) 19 December 2000 Quintiplet: 890803*550#+42642569857 + 0, 4, 6, 10, 12 (229 digits, 2000, Norman Luhn) 17 December 2000 Triplet: 54283268*4987#/35 -1, +1, +5 (2132 digits), 2000, Rosenthal, Jobling, VFYPR, PFGW) Triplet: 781763166*4973#/35 -1, +1, +5 (2130 digits, 2000, Rosenthal, Jobling, VFYPR, PFGW) Triplet: 205702716*4973#/35 -1, +1, +5 (2129 digits, 2000, Rosenthal, Jobling, VFYPR, PFGW) 11 December 2000 K 14 1000000008282508019026959814211 + 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48, 50 (2000, 31 digits, Joerg Waldvogel & Peter Leikauf) K 14 1000000007541367760266886291861 + 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48, 50 (2000, 31 digits, Joerg Waldvogel & Peter Leikauf) K 14 1000000006672161724368529625351 + 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48, 50 (2000, 31 digits, Joerg Waldvogel & Peter Leikauf) K 14 1000000005832631360266813468481 + 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48, 50 (2000, 31 digits, Joerg Waldvogel & Peter Leikauf) K 14 1000000005644941246959007679801 + 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48, 50 (2000, 31 digits, Joerg Waldvogel & Peter Leikauf) K 14 1000000004930964950164522054901 + 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48, 50 (2000, 31 digits, Joerg Waldvogel & Peter Leikauf) K 14 1000000003068759599025980926181 + 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48, 50 (2000, 31 digits, Joerg Waldvogel & Peter Leikauf) K 14 1000000001772437688818681781011 + 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48, 50 (2000, 31 digits, Joerg Waldvogel & Peter Leikauf) K 14 1000000001553601074663653211311 + 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48, 50 (2000, 31 digits, Joerg Waldvogel & Peter Leikauf) K 14 1000000001544051614464292419601 + 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48, 50 (2000, 31 digits, Joerg Waldvogel & Peter Leikauf) K 14 1000000001044178961179268851051 + 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48, 50 (2000, 31 digits, Joerg Waldvogel & Peter Leikauf) 28 November 2000 Twins: 665551035*2^80025 +/- 1 (24099 digits, 2000, David Underbakke & Phil Carmody) 23 November 2000 Prime 15-tuplet: 999999999962618227626700812281 + 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48, 50, 56 (30 digits, 2000, Joerg Waldvogel & Peter Leikauf) 22 November 2000 Prime 9-tuplet: 82912513*120# + 271263511153489 + 0, 4, 10, 12, 18, 22, 24, 28, 30 (55 digits, 2000, Norman Luhn) 14 November 2000 Prime 18-tuplet: 2845372542509911868266807 + 0, 4, 10, 12, 16, 22, 24, 30, 36, 40, 42, 46, 52, 54, 60, 64, 66, 70 (2000, Joerg Waldvogel & Peter Leikauf) 11 November 2000 Probable-prime triplets: 10^2048 + 418590204063 + 0, 4, 6 (2049 digits, 2000, Norman Luhn) 5 November 2000 K 13 10376921779284998681515754999 + 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (2000, TF) K 13 4510506252686813977940909503 + 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (2000, TF) K 13 9682757967642917674972792273 + 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (2000, TF) K 13 9695453809319686150814043989 + 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (2000, TF) K 10 215212824183322513391 + 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 (1999, Joerg Waldvogel) K 10 609489599553950643371 + 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 (1999, Joerg Waldvogel) K 10 618251649784877175911 + 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 (1999, Joerg Waldvogel) K 10 2276358395393016997187 + 0, 2, 6, 12, 14, 20, 24, 26, 30, 32 (1999, Joerg Waldvogel) K 15 1240068005144831867 + 0, 2, 6, 12, 14, 20, 26, 30, 32, 36, 42, 44, 50, 54, 56 (1999, Joerg Waldvogel) K 15 47939384425506704057 + 0, 2, 6, 12, 14, 20, 26, 30, 32, 36, 42, 44, 50, 54, 56 (1999, Joerg Waldvogel) K 15 65131261663903414907 + 0, 2, 6, 12, 14, 20, 26, 30, 32, 36, 42, 44, 50, 54, 56 (1999, Joerg Waldvogel) K 15 105151328771084515847 + 0, 2, 6, 12, 14, 20, 26, 30, 32, 36, 42, 44, 50, 54, 56 (1999, Joerg Waldvogel) K 15 343777648517223740747 + 0, 2, 6, 12, 14, 20, 26, 30, 32, 36, 42, 44, 50, 54, 56 (1999, Joerg Waldvogel) K 15 1688918023298289733877 + 0, 2, 6, 12, 14, 20, 26, 30, 32, 36, 42, 44, 50, 54, 56 (1999, Joerg Waldvogel) K 15 1920203741197964459177 + 0, 2, 6, 12, 14, 20, 24, 26, 30, 36, 42, 44, 50, 54, 56 (1999, Joerg Waldvogel) K 15 2088253704394088213987 + 0, 2, 6, 12, 14, 20, 26, 30, 32, 36, 42, 44, 50, 54, 56 (1999, Joerg Waldvogel) K 15 71606347081895458487 + 0, 2, 6, 12, 14, 20, 26, 30, 32, 36, 42, 44, 50, 54, 56 (1999, Joerg Waldvogel) K 15 348214184662549960583 + 0, 6, 8, 14, 20, 24, 26, 30, 36, 38, 44, 48, 50, 54, 56 (1999, Joerg Waldvogel) K 15 499698524000527366343 + 0, 6, 8, 14, 20, 24, 26, 30, 36, 38, 44, 48, 50, 54, 56 (1999, Joerg Waldvogel) K 15 590079087912119470781 + 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48, 50, 56 (1999, Joerg Waldvogel) K 15 890273901447612226373 + 0, 6, 8, 14, 20, 24, 26, 30, 36, 38, 44, 48, 50, 54, 56 (1999, Joerg Waldvogel) K 15 1179182744110031765933 + 0, 6, 8, 14, 20, 24, 26, 30, 36, 38, 44, 48, 50, 54, 56 (1999, Joerg Waldvogel) 31 October 2000 Triplet: 141197621*3571#/5 -1, +1, +5 (1528 digits, 2000, H. Rosenthal, P. Jobling, PFGW) Triplet: 98904621*3571#/5 -1, +1, +5 (1528 digits, 2000, H. Rosenthal, P. Jobling, PFGW) Triplet: 76601631*3571#/5 -1, +1, +5 (1527 digits, 2000, H. Rosenthal, P. Jobling, PFGW) Triplet: 5798296*3571#/5 -5, -1, +1 (1526 digits, 2000, H. Rosenthal, P. Jobling, PFGW) Triplet: 4590864*3571#/5 -5, -1, +1 (1526 digits, 2000, H. Rosenthal, P. Jobling, PFGW) Triplet: 192205267*2803#/5 -1, +1, +5 (1209 digits, 2000, H. Rosenthal, P. Jobling, PFGW) Triplet: 185550167*2803#/5 -1, +1, +5 (1209 digits, 2000, H. Rosenthal, P. Jobling, PFGW) Triplet: 163967787*2803#/5 -5, -1, +1 (1209 digits, 2000, H. Rosenthal, P. Jobling, PFGW) Triplet: 153390848*2803#/5 -5, -1, +1 (1209 digits, 2000, H. Rosenthal, P. Jobling, PFGW) Triplet: 141718533*2803#/5 -5, -1, +1 (1209 digits, 2000, H. Rosenthal, P. Jobling, PFGW) Triplet: 120798077*2803#/5 -1, +1, +5 (1209 digits, 2000, H. Rosenthal, P. Jobling, PFGW) Triplet: 119601153*2803#/5 -5, -1, +1 (1209 digits, 2000, H. Rosenthal, P. Jobling, PFGW) Triplet: 115013147*2803#/5 -1, +1, +5 (1209 digits, 2000, H. Rosenthal, P. Jobling, PFGW) Triplet: 44487678*2803#/5 -5, -1, +1 (1208 digits, 2000, H. Rosenthal, P. Jobling, PFGW) Triplet: 41221423*2803#/5 -1, +1, +5 (1208 digits, 2000, H. Rosenthal, P. Jobling, PFGW) Triplet: 33835037*2803#/5 -5, -1, +1 (1208 digits, 2000, H. Rosenthal, P. Jobling, PFGW) Triplet: 16962293*2803#/5 -1, +1, +5 (1208 digits, 2000, H. Rosenthal, P. Jobling, PFGW) Triplet: 2668322*2803#/5 -1, +1, +5 (1207 digits, 2000, H. Rosenthal, P. Jobling, PFGW) 19 October 2000 K 13 608181837360884047265507519 + 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (2000, TF) K 13 19385978506392583398787867409 + 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (2000, TF) 14 October 2000 K 7 90448453*300# + 80610557759 +0, 2, 8, 12, 14, 18, 20 (129 digits, 2000, Norman Luhn) 5 October 2000 Triplet: 1327691127*2^4502 - 1, +1, + 5 (1365 digits, 2000, Jim Fougeron) 18 September 2000 K 7 97#*120328469+855719 + 0, 2, 8, 12, 14, 18, 20 (45 digits, 2000, Norman Luhn) K 7 107#*98731+8722699619 + 0, 2, 8, 12, 14, 18, 20 (48 digits, 2000, Norman Luhn) K 7 109#*585953+104980729739 + 0, 2, 8, 12, 14, 18, 20 (51 digits, 2000, Norman Luhn) K 7 127#*848123+2488117769 + 0, 2, 8, 12, 14, 18, 20 (55 digits, 2000, Norman Luhn) K 7 157#*9284237+35310842249 + 0, 2, 8, 12, 14, 18, 20 (69 digits, 2000, Norman Luhn) 17 September 2000 K 8 49507337255*199#+1277 +0, +2, +6, +12, +14, +20, +24, +26 (93 digits, 2000, Michael Bell) 12 September 2000 K 6 1189609319*503#/613777 + 446215867 +0, +4, +6, +10, +12, +16 (213 digits, 2000, Michael Bell) K 6 1972792882*200#/385 -5, -1, +1, +5, +7, +11 (89 digits, 2000, Michael Bell) 9 September 2000 Triplet: 410649*2800#/5 -1, +1, +5 (1199 digits, 2000, Michael Bell) 4 September 2000 Quintuplet: 10^320 + 1928441138811931 + 0, 2, 6, 8, 12 (321 digits, 2000, Norman Luhn) 26 August 2000 K 13 198481810762642607347043833 + 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (2000, TF) K 13 7329036390144957364770106229 + 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (2000, TF) 11 July 2000 Triplet: 10^1299 + 22101529023 + 0, +4, +6 (1300 digits, 2000, Norman Luhn) 1 July 2000 Triplet: 10915478*3000#/5 -1, +1, +5 (1280 digits, 2000, Paul Jobling) 23 June 2000 Triplet: 10^1024 + 4899378623881 + 0, +2, +6 (1025 digits, 2000, Norman Luhn) 12 June 2000 Quintuplet: 10^256 + 2533463851471 + 0, 2, 6, 8, 12 (257 digits, 2000, Norman Luhn) 10 May 2000 Triplet: 10^1100 + 24526852771 + 0, +2, +6 (1101 digits, 2000, Norman Luhn) 22 April 2000 Quadruplet: 10^400 + 84921178321 + 0, 2, 6, 8 (401 digits, 2000, Norman Luhn) 17 February 2000 K 13 10038113093428157422727819713 + 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (2000, TF) K 13 13746360711649613627966613163 + 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (2000, TF) K 13 460809082326760839587909009 + 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (2000, TF) K 13 1502324719462855725118124459 + 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (2000, TF) 1 November 1999 Triplet: 117709786470818815*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1030 digits, 1999, TF) Triplet: 165772355312886595*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1030 digits, 1999, TF) Triplet: 770574675876988255*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1031 digits, 1999, TF) Triplet: 966804221957125825*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1031 digits, 1999, TF) Triplet: 1418467986186153175*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1031 digits, 1999, TF) Triplet: 1505636942588010505*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1031 digits, 1999, TF) Triplet: 1513666762406801275*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1031 digits, 1999, TF) Triplet: 1533696105195426445*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1031 digits, 1999, TF) Triplet: 1725931731839667625*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1031 digits, 1999, TF) Triplet: 2053563717679576375*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1031 digits, 1999, TF) Triplet: 2082581011513724995*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1031 digits, 1999, TF) Triplet: 2396220434519123485*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1031 digits, 1999, TF) Triplet: 2431500315102150565*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1031 digits, 1999, TF) Triplet: 2463800071824193375*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1031 digits, 1999, TF) Triplet: 2645806236939918325*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1031 digits, 1999, TF) Triplet: 3027501066666598795*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1031 digits, 1999, TF) Triplet: 3324959199500240575*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1031 digits, 1999, TF) Triplet: 3392967768988930405*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1031 digits, 1999, TF) Triplet: 3421860898701537565*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1031 digits, 1999, TF) Triplet: 3483721643536977115*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1031 digits, 1999, TF) Triplet: 3850267699058813305*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1031 digits, 1999, TF) Triplet: 3988134010440141835*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1031 digits, 1999, TF) Triplet: 4656971513409327385*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 4991335584719936725*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 5012116878312676405*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 5042882168587835845*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 5170385066788714045*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 5201843498802713035*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 5217743045435132485*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 5338781558677759465*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 5485261065685913785*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 5498192757895920355*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 6298737939636004135*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 6520874963995724605*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 6830541315593928205*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 7140379433531716645*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 7326855392130106105*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 7601947591783847575*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 7620574502740491565*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 8019902232170801245*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 8152334996010037105*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 8202849978814883665*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 8511371752443552265*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 8569448514257272915*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 8646944604201255625*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 8798697998992694065*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 8883629912388263305*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 8955778240022175835*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 9318604262539664365*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 9373455121085357575*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 9758429523977987125*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 69993772100843260*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1030 digits, 1999, TF) Triplet: 170139502650598150*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1030 digits, 1999, TF) Triplet: 649630990266589000*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1031 digits, 1999, TF) Triplet: 779064831547242910*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1031 digits, 1999, TF) Triplet: 998445075672364990*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1031 digits, 1999, TF) Triplet: 1078062152811454480*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1031 digits, 1999, TF) Triplet: 1226009479502508370*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1031 digits, 1999, TF) Triplet: 1286131137779979160*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1031 digits, 1999, TF) Triplet: 1354114082598527920*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1031 digits, 1999, TF) Triplet: 1418721254820840640*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1031 digits, 1999, TF) Triplet: 1501988708231291950*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1031 digits, 1999, TF) Triplet: 1541325548271769930*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1031 digits, 1999, TF) Triplet: 1654484753085094600*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1031 digits, 1999, TF) Triplet: 1691313077998774900*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1031 digits, 1999, TF) Triplet: 1768405052833089340*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1031 digits, 1999, TF) Triplet: 2263078630227665920*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1031 digits, 1999, TF) Triplet: 2790010603149280180*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1031 digits, 1999, TF) Triplet: 2982230392653772930*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1031 digits, 1999, TF) Triplet: 3053231332463452810*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1031 digits, 1999, TF) Triplet: 3278819664872612530*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1031 digits, 1999, TF) Triplet: 3929871537420809650*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1031 digits, 1999, TF) Triplet: 4083459769783835110*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1031 digits, 1999, TF) Triplet: 4086197583108811840*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1031 digits, 1999, TF) Triplet: 4224900110594554060*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1031 digits, 1999, TF) Triplet: 4617321335417261140*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 5136914959516420750*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 5136914959516420750*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1, +5 (1032 digits, 1999, TF) Triplet: 5147411143295151400*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 5543547398710782130*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 5879911177016487280*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 6009382525562817070*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 6411906303973290790*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 6507146062800343630*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 6935313716970879910*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 6954195216602724760*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 8459904111549351130*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 8545510861467590680*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 8799487720312069450*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 8805380815518517900*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 8834343113390725600*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 9471374114403952420*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 9656592054316247710*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 9782531642169987370*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 9890353606402269670*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 94712594614007790*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1030 digits, 1999, TF) Triplet: 260561730684495660*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1030 digits, 1999, TF) Triplet: 318271499149744560*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1030 digits, 1999, TF) Triplet: 426077934556624770*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1030 digits, 1999, TF) Triplet: 552522756371196030*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1031 digits, 1999, TF) Triplet: 1009293226156215420*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1031 digits, 1999, TF) Triplet: 1120135282898792580*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1031 digits, 1999, TF) Triplet: 1130012325289848420*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1031 digits, 1999, TF) Triplet: 1213887481893436770*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1031 digits, 1999, TF) Triplet: 1250030465956662810*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1031 digits, 1999, TF) Triplet: 1543723352000179770*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1031 digits, 1999, TF) Triplet: 1697062077074304360*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1031 digits, 1999, TF) Triplet: 1803978543711394470*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1031 digits, 1999, TF) Triplet: 1890870101753743530*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1031 digits, 1999, TF) Triplet: 1912897981638454230*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1031 digits, 1999, TF) Triplet: 1935707731535168010*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1031 digits, 1999, TF) Triplet: 2177901300843338490*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1031 digits, 1999, TF) Triplet: 2393368114316760000*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1031 digits, 1999, TF) Triplet: 2454128236501562040*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1031 digits, 1999, TF) Triplet: 2454128236501562040*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1031 digits, 1999, TF) Triplet: 2598178164440739300*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1031 digits, 1999, TF) Triplet: 2976714417427351020*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1031 digits, 1999, TF) Triplet: 3095232491452371690*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1031 digits, 1999, TF) Triplet: 3225283492386736200*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1031 digits, 1999, TF) Triplet: 3304101611046166350*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1031 digits, 1999, TF) Triplet: 4380207095492819010*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 4438820322261335430*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 4660385829983804340*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 4857701744641836510*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 5214906700690096830*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 5529542024098933260*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 5549495800647539160*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 5709067986580899360*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 5832720889918382880*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 6355831892582082330*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 6389693281323602670*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 6441700671992015850*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 6615948323651457210*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 6661797965826483900*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 6677473176961617450*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 6834544615415727630*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 6943634158755955080*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 7671234992069379150*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 7685056049582962470*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 7919714444599377840*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 8111577355563031770*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 8149109779868047410*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 8227925912331655950*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 8277684433840742340*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 8301155456213630430*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 18404763554228730*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1029 digits, 1999, TF) Triplet: 125167253946466410*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1030 digits, 1999, TF) Triplet: 222636747926664750*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1030 digits, 1999, TF) Triplet: 241302720213917040*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1030 digits, 1999, TF) Triplet: 398295644478823770*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1030 digits, 1999, TF) Triplet: 731808349002031980*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1031 digits, 1999, TF) Triplet: 879005810584212990*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1031 digits, 1999, TF) Triplet: 879280802440932570*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1031 digits, 1999, TF) Triplet: 932753018885929920*(2^3363 - 2^1121) - 6*2^1121 - 7, -1, +1, +5 (1031 digits, 1999, TF) Triplet: 1468745545527401820*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1031 digits, 1999, TF) Triplet: 1775944835108075310*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1031 digits, 1999, TF) Triplet: 1912535668555303470*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1031 digits, 1999, TF) Triplet: 1960240389071826540*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1031 digits, 1999, TF) Triplet: 1985719869703821930*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1031 digits, 1999, TF) Triplet: 2078958185873250360*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1031 digits, 1999, TF) Triplet: 2297368195091070780*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1031 digits, 1999, TF) Triplet: 2398275300557047590*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1031 digits, 1999, TF) Triplet: 2462932669344388920*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1031 digits, 1999, TF) Triplet: 2739094584139465230*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1031 digits, 1999, TF) Triplet: 3474008836316400060*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1031 digits, 1999, TF) Triplet: 3600778196906282070*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1031 digits, 1999, TF) Triplet: 4029157305191790450*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1031 digits, 1999, TF) Triplet: 4270612092867962520*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1031 digits, 1999, TF) Triplet: 4394284910367393720*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 4559767923820881450*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 4650824146765738620*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 4779640164691393680*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 4825326349174592940*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 5060445464431488810*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 5390685218077501020*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 5454858048337189170*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 5814613041334118700*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 5905922916187215600*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 5940334536498353670*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 6755931609010255350*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 7096149139063285980*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 7178664690303868440*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 7573696169971993740*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 7769770699748318940*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 8208576774349433160*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 8457075890061900780*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 8487489730315027110*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 8686440802155888450*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 9199264329105692520*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 9452159136888589800*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 9510347320205303250*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 9516098361696057810*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 9533142662987565300*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 9858483896658919200*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 9963546512634576540*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 10406075797751785830*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 10789771206766683810*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 10948434975711555000*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 11206284800622973740*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 11796039890825311800*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 11837438141333055930*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 11984747204231082960*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Quadruplet: 11984747204231082960*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1, +1 (1032 digits, 1999, TF) Triplet: 12035611259111061300*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 12145924151613013440*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 12488711832444779610*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 12743281349545428360*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 12853233963571202880*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 13031522473629481500*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 13169677638743007060*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 13185153309368612250*(2^3363 - 2^1121) - 6*2^1121 - 7, -1, +1, +5 (1032 digits, 1999, TF) Triplet: 13323968985765439680*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 13475887365542493570*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 13631593659014542890*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 13725199109080951170*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 13853219845320537360*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 13885128471384131640*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 14140312863890595060*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 14632876314027883590*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 14852133044347180260*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 14925939827198521800*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 15004370725571328780*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 15212815765028333130*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 15313334305850052150*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 15506246925432645060*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 15719576689916691270*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 15796569593669296110*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 15930783861383152440*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 15930783861383152440*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1, +5 (1032 digits, 1999, TF) Triplet: 16517841168706549350*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 17158140490081362450*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 17189778614032245900*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 17712760683964307640*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 18009756836528939160*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 18388774392304217580*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 19012237605554014500*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 19150015740817032750*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 19228124017228468020*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 19573764017147131470*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 19640356540784541240*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 20293698885965927100*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 20311192335893841060*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 20379190409086090260*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 20411809839597227730*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 21239957520648087900*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 21552473016498555810*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 21579847635812527740*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 22065543434750267130*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 22229536043491067970*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 22321202763197980320*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 22512472484721340800*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 23018661619683681630*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 23525120311960428840*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 23626450864425630900*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 23977180595209993830*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 24081738092786926230*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 24113826035768290500*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 24123688951695725070*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 24210598216396073160*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 24231581205798558270*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 24250600909678625160*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 24346855969734369750*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 70300829095767485*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1030 digits, 1999, TF) Triplet: 85747619680072565*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1030 digits, 1999, TF) Triplet: 347202069200166395*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1030 digits, 1999, TF) Triplet: 493620574586319395*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1031 digits, 1999, TF) Triplet: 689295685804075565*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1031 digits, 1999, TF) Triplet: 785984303204820935*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1031 digits, 1999, TF) Triplet: 938411260881734855*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1031 digits, 1999, TF) Triplet: 969645853110805085*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1031 digits, 1999, TF) Triplet: 1332616759053950585*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1031 digits, 1999, TF) Triplet: 1488837433740687245*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1031 digits, 1999, TF) Triplet: 1620882129094208195*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1031 digits, 1999, TF) Triplet: 1636699658756272325*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1031 digits, 1999, TF) Triplet: 1720397721339447365*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1031 digits, 1999, TF) Triplet: 2208780608976311585*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1031 digits, 1999, TF) Triplet: 2481332637294280985*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1031 digits, 1999, TF) Triplet: 2749806194647902605*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1031 digits, 1999, TF) Triplet: 2749806194647902605*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1, +5 (1031 digits, 1999, TF) Triplet: 2988381128668976255*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1031 digits, 1999, TF) Triplet: 3383191403948246105*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1031 digits, 1999, TF) Triplet: 3584559396122454965*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1031 digits, 1999, TF) Triplet: 3609131842941755345*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1031 digits, 1999, TF) Triplet: 3818786106212327465*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1031 digits, 1999, TF) Triplet: 4077461691088435865*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1031 digits, 1999, TF) Triplet: 4080747058422404585*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1031 digits, 1999, TF) Triplet: 4586917120952196245*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 5121248433163622975*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 5219731215405547055*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 5352462214255256315*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 5617209688325895875*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 5643877173962407595*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 5738854639825086995*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 5965694466123171995*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 6411266295370927205*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 6464048030905745495*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 6515743499146832165*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 6718537308863119955*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 6735212403947978165*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 6804472859522858735*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 6906949519705405385*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 6912763814717591045*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 7128468578823061685*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 7264358630269931405*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 146273512644990190*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1030 digits, 1999, TF) Triplet: 332127635116928110*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1030 digits, 1999, TF) Triplet: 411815546473171300*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1030 digits, 1999, TF) Triplet: 470654757841468660*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1031 digits, 1999, TF) Triplet: 659465355437799370*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1031 digits, 1999, TF) Triplet: 1037586628915066690*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1031 digits, 1999, TF) Triplet: 1207197619202405290*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1031 digits, 1999, TF) Triplet: 1316123335855198330*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1031 digits, 1999, TF) Triplet: 1489793339392949050*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1031 digits, 1999, TF) Triplet: 1675500406630140550*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1031 digits, 1999, TF) Triplet: 1995659704037159620*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1031 digits, 1999, TF) Triplet: 2111706779794051900*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1031 digits, 1999, TF) Triplet: 2341824029758283530*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1031 digits, 1999, TF) Triplet: 2359466533386873370*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1031 digits, 1999, TF) Triplet: 2367986055887072080*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1031 digits, 1999, TF) Triplet: 2441574740917772920*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1031 digits, 1999, TF) Triplet: 2850256379368068130*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1031 digits, 1999, TF) Triplet: 2924256514578909970*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1031 digits, 1999, TF) Triplet: 3471018209020002100*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1031 digits, 1999, TF) Triplet: 3812898159543133120*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1031 digits, 1999, TF) Triplet: 3972261733787777890*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1031 digits, 1999, TF) Triplet: 3972261733787777890*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1, +5 (1031 digits, 1999, TF) Triplet: 4269641138039968150*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1031 digits, 1999, TF) Triplet: 4397678909874200410*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 4404297853349694760*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 4487416686752009470*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 4489289245089148960*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 4686564804924112570*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 5031607158230032840*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 5391665259701180920*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 5494562306494962160*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 5530914635776260190*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 5626805008371437350*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 5961611295038239300*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 6114893768137564870*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 6406273452177018880*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 7000793278244826520*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 7633702683326470210*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 8018886732389453380*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 8129705252164966930*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 8139819973684049110*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 9117050566968094210*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 9364808502354025180*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 9447670028248332340*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 10061854088444859160*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 10309574227436754730*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 10328567650530549880*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 10328567650530549880*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1, +5 (1032 digits, 1999, TF) Triplet: 10340778107808969280*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 10640706485303024590*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 10686869788245020830*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 10702480246005358270*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 10712850333678293260*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 10859580186358353910*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 11019768949226848270*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 11141487034361404180*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 11195831742703848700*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 11339970906229375870*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 11753066508279246610*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 12109688762036846440*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 12888878509082416300*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 13245562465642907860*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 13377438236636914900*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 13493717150504311180*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 13588276951488769990*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 13747609380853298410*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 13957981190437945120*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 14043656800424531740*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 14211598839644186440*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 14623965453392866030*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 15262231602949711840*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 15420164858976718300*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 15420565840523934550*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 15586940073182748730*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 15983899135036563190*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 16096090276974768520*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 16427097429936864130*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 16527664905510339040*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 16560129105548508940*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 16733514160817844850*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 16749731379873222190*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 17275361591174257030*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 17293378403589618790*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Quadruplet: 17293378403589618790*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1, +1 (1032 digits, 1999, TF) Triplet: 92621629249511045*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1030 digits, 1999, TF) Triplet: 139512919921176485*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1030 digits, 1999, TF) Triplet: 143851202834090435*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1030 digits, 1999, TF) Triplet: 189222251014077965*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1030 digits, 1999, TF) Triplet: 329260707685811585*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1030 digits, 1999, TF) Triplet: 580573902136329785*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1031 digits, 1999, TF) Triplet: 581381380532694425*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1031 digits, 1999, TF) Triplet: 623189913552497975*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1031 digits, 1999, TF) Triplet: 865408788061819685*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1031 digits, 1999, TF) Triplet: 1121756999628576995*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1031 digits, 1999, TF) Triplet: 2572821831296078045*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1031 digits, 1999, TF) Triplet: 2757019146760710515*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1031 digits, 1999, TF) Triplet: 2784434822524827155*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1031 digits, 1999, TF) Triplet: 2796214150824135725*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1031 digits, 1999, TF) Triplet: 2970373859497315955*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1031 digits, 1999, TF) Triplet: 3043216315609832045*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1031 digits, 1999, TF) Triplet: 3353594312938791605*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1031 digits, 1999, TF) Triplet: 3640971679211258075*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1031 digits, 1999, TF) Triplet: 3885067849657906595*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1031 digits, 1999, TF) Triplet: 3955727972274830435*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1031 digits, 1999, TF) Triplet: 4113076406182725665*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1031 digits, 1999, TF) Triplet: 4157836914320641235*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1031 digits, 1999, TF) Triplet: 4183326374119804595*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1031 digits, 1999, TF) Triplet: 4238642081908816265*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1031 digits, 1999, TF) Triplet: 4484582403608188565*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 4580640828939036545*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 4703653285742853125*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 4829972052054531065*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 5038698529636733645*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 5341478232785136125*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 6567244407649807565*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 6721134984170878955*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 7297092797890297085*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 7528904276906033705*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 7616929348180844375*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 7692770742691536185*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 7703948778594420035*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 7857963622305938825*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 8023349237651149085*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 8254598352191533025*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 8551544829559173125*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 9019711154201629565*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 9123561853186592495*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 9190920490678968725*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 9311986880044980815*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 9341119195654858295*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 9392323487016852065*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 9676981489075412195*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 10025229706109219285*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 10320776839027106135*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 10585973852815953275*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 10698632962612706795*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 10914246114969669155*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 10929683356509859625*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 11096331521334260885*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 11242596128111880215*(2^3363 - 2^1121) - 6*2^1121 - 7, -1, +1, +5 (1032 digits, 1999, TF) Triplet: 11302443205692790835*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 11486961682306682255*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 11543473857458955095*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 11769818926683569435*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 11812208303853519245*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 12002712931279422035*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 12311969112581279825*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 12494960383305742025*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 12752256304985088575*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 13079807826804110075*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 13163567261789636375*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 13180215989082003545*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 13481376856521946055*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 13711939964725844525*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 14134548870520179785*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 14204753291593826645*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 14228478531861565655*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 14367130682077054565*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 14632464602829084695*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 14698285443544214195*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 14856615402420283175*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 14928207858696824375*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 14957359304297211485*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 14998791573344330435*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 15012401005853803235*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 15174928944983028905*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 15811847114100138785*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 15950136886535543375*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 16315304778267796985*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 16330020058932201305*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 16542980477330368745*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 16898029160030460125*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 17134126291673963255*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 17319823145719566155*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 17508631840333715765*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 17566814392786390415*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 17610622926614599565*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 17663179281908221745*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 18044693623033378985*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 18056798266248093035*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 18373003718837639555*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 18541384414189838885*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 18575572441010576675*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 18651143517237082535*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 19162761810389298785*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 19282700863295140955*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 19415295523622299985*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 19452902089496267075*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 20163949610106894275*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 20272203727983839315*(2^3363 - 2^1121) - 6*2^1121 - 7, -1, +1, +5 (1032 digits, 1999, TF) Triplet: 20391171987357833345*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 20528517423291028835*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 20560824909288645665*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 20722607672721125855*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 21148865355657130775*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 21333554334789498485*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 21465376837229657015*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 21497876423366494835*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 21577379321797811195*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 21586190416639920755*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 21645945978402257195*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 21712364724071673335*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 21818169547716533675*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 21825650185394567195*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 21870333826661031395*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 21891455228011200515*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 22132581356609845805*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 22146918456041440745*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 22260836363341497605*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 22360880112563053745*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 22479874927573735355*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 22654870036277610815*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 22685813038094247725*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 22803474567123261695*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 22806520843820615585*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 22855826812296099305*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 22928897158890784745*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 22953649099763593895*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 23076422608040953835*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 23367514937978482955*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 23624421622165475795*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 23701758784541449295*(2^3363 - 2^1121) - 6*2^1121 - 7, -1, +1, +5 (1032 digits, 1999, TF) Triplet: 23997974827966100645*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 24138130214080694495*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 24138130214080694495*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1, +5 (1032 digits, 1999, TF) Triplet: 24178635237324189305*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 24548995060327539485*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 24608503228159732565*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 24921242280913370075*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 24925277194779593315*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 25058499956796457835*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 25129557017179236305*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 25323243209057625515*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 25511958142646557265*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 25997855134096527365*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 26095465426448840105*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 26165555610141289025*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 26356382281941123095*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 26728981240338789095*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 26933493477544005035*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 27383689740220565435*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 27514943262366311435*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 27557638826692085795*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 27851938391263187885*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 27867370529777069975*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 27897184234370302535*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 28214117550203696795*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 28376731664754374585*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 28426593205419690965*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 28643005899421074845*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 28859279984483770505*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 29113028876325225515*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 29259619126187862095*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 29470387609619498225*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 29476101625725176105*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 29594453192155743575*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 213524394719507515*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1030 digits, 1999, TF) Triplet: 331426625784936325*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1030 digits, 1999, TF) Quadruplet: 331426625784936325*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1, +1 (1030 digits, 1999, TF) Triplet: 372778784413366975*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1030 digits, 1999, TF) Triplet: 486303007533985285*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1031 digits, 1999, TF) Triplet: 611849666377651345*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1031 digits, 1999, TF) Triplet: 959068508592155605*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1031 digits, 1999, TF) Triplet: 1382849455311415735*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1031 digits, 1999, TF) Triplet: 1560873348893079865*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1031 digits, 1999, TF) Triplet: 1902622180374447175*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1031 digits, 1999, TF) Triplet: 2567740677681951415*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1031 digits, 1999, TF) Triplet: 2609521415114895925*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1031 digits, 1999, TF) Triplet: 2632390165936752865*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1031 digits, 1999, TF) Triplet: 2903287383705510445*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1031 digits, 1999, TF) Triplet: 3323978931214202905*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1031 digits, 1999, TF) Triplet: 3423442514711030455*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1031 digits, 1999, TF) Triplet: 3510160221387831655*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1031 digits, 1999, TF) Quadruplet: 3510160221387831655*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1, +1 (1031 digits, 1999, TF) Triplet: 3684690932388357535*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1031 digits, 1999, TF) Triplet: 3768586690726118905*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1031 digits, 1999, TF) Triplet: 3905102616280387165*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1031 digits, 1999, TF) Triplet: 3914689956740154235*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1031 digits, 1999, TF) Triplet: 3995990068353624985*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1031 digits, 1999, TF) Triplet: 4013661856713981115*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1031 digits, 1999, TF) Triplet: 4578944401307297665*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 4578944401307297665*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1, +5 (1032 digits, 1999, TF) Triplet: 5452884123292707745*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 5669010666332014645*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 5742936353890487395*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 5904536733993699445*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 6353136564617083885*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 6360001957447510015*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 6689051007334557505*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 7212455713546354915*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 7580308390766943475*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 7877162628379646245*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 8604536636479355215*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 8925086097883417105*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 9129132986340378655*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 9704515936583309485*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 9784447642935517195*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 9820714201932015025*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 10047379282039050595*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 10456344271412811415*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 10555246902389060515*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 10866092295789542455*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 11367357577466372125*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 11493470429728318675*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 12027260621482938475*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 12326078986124365105*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 12709497450104466655*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 12885110992768526155*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 13033477311294191395*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 13491036665800325275*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 13556842011377076055*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 13640691592167861865*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 13818158661785599765*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 13969137161563615675*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 13986265254752352205*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 14203241862609070915*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 14638314013551379795*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 14705602986725612605*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 14869848245241481135*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 15018541543847733535*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 15097620449371571755*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 15330819601510474705*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 15595358399641652275*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 15700942305571995115*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 16292141077701070225*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 16480496528139905905*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 16593418751882794465*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 16593418751882794465*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1, +5 (1032 digits, 1999, TF) Triplet: 17758924819488894685*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 17993602724199884425*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 18095208654918656905*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 18183677968571477005*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 18392260725041875315*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 18550635525807907165*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 19297588543436695135*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 19334489935280972095*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 19479719332468366615*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 19482052070491962595*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 19502276313904605865*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 19561411045020055855*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 20018886510137376505*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 20251547719777405675*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 20475063606430484695*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 20787275708024767585*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 20788410039561876355*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 21014605211348580475*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 21046297541289552175*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 21131874539096462785*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 21254297699653660285*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 21393462888510944875*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 21394635762464646325*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 21406174587949472965*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 21406174587949472965*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1, +5 (1032 digits, 1999, TF) Triplet: 21440720968401106015*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 21946365903109569565*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 22005823743644312215*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 22145389926988199515*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 22193276404166118895*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 22345189716834816475*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 22460768292879758485*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 23223099598196189335*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 23475501377875358455*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 23488532423379555175*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 23604967687199940685*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 24061195760436936745*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 24183336312969925735*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 24249895133521278865*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 24498254578149904195*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 24673118891519770315*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 24673118891519770315*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1, +5 (1032 digits, 1999, TF) Triplet: 24744774688993240525*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 24800921586381211915*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 24889934184714770815*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 24915132709102167175*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 24947432928741915235*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Quadruplet: 24947432928741915235*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1, +1 (1032 digits, 1999, TF) Triplet: 24967314387059596195*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 25236927879820128115*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 25717411193048286355*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 25748722260843913975*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 25761675031537556755*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 26033835107769130285*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 26160898195554954475*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 26294543395521993235*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 26569174926692800045*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 26649172084923579835*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 27116836379218817875*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 27235781004134164105*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 27491405863171812205*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 27970462480541262325*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 27970650406612885615*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 27979908767187578845*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 28533034822898657695*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 29170695369458644645*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 29185422653634919315*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 29235565221488367385*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 29496855065950003375*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 29509106398080971305*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 29547864794450584225*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 29817918720501463195*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 29900533826489097415*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 30136691562203107525*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 30158884230528615205*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1 (1032 digits, 1999, TF) Triplet: 30491048174010135355*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 30579252035926635685*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 30649885556057369245*(2^3363 - 2^1121) - 6*2^1121 - 7, -1, +1, +5 (1032 digits, 1999, TF) Triplet: 31003462019013886045*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 31096981777547277235*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 31120917920890599445*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 31218393785956979245*(2^3363 - 2^1121) - 6*2^1121 - 5, -1, +1 (1032 digits, 1999, TF) Triplet: 31490680196780626465*(2^3363 - 2^1121) - 6*2^1121 - 1, +1, +5 (1032 digits, 1999, TF) Triplet: 3155392