Prime Quadruplets 4104082046*4800# + 5651 + 0, 2, 6, 8 (2058 digits, Apr 2005, Norman Luhn, Primo) 11024895887*3500# + 855731 +0, 2, 6, 8 (1491 digits, 2003, Norman Luhn, Primo) 10271674954*2999# + 3461 + 0, 2, 6, 8 (1284 digits, 2002, Michael Bell, Michael Davison, Matt Jack, Ronald Lau, Graeme Leese and Ben Lowing) 2722420456827*2^3800 - 1, +1, +5, +7 (1157 digits, Oct 2007, Gary Barnes) 477707955423*2^3802 - 1, +1, +5, +7 (1157 digits, Oct 2007, Gary Barnes) 11^1101+45917626999140 + 0, 2, 6, 8 (1147 digits, Sep 2005, Ronny Edler) 11^1101+34264768249680 + 0, 2, 6, 8 (1147 digits, Sep 2005, Ronny Edler) 700209251206546*3^2239 -1, +1, +5, +7 (1084 digits, Aug 2005, Michael Gillion & George Woltman) 18973472837*2503#/35 + 7, +5, +1, -1 (1070 digits, Aug 2005, : Gary Chaffey, PRIMO) 283534892623*2500# + 1091261 + 0, 2, 6, 8 (1068 digits, Apr 2006, Norman Luhn) 109267227191*2500# + 10531091 + 0, 2, 6, 8 (1068 digits, 2001, Norman Luhn, PFGW, PRIMO) 8954571083387140525*(2^3423 - 2^1141) - 6*2^1141 - 7, -5, -1, +1 (1050 digits, 1999, Tony Forbes) 31950761585*2400# + 16061 + 0, +2, +6, +8 (1034 digits, Jul 2002, Norman Luhn, APSieve, PFGW, PRIMO) 2806617687*2400# + 16061 + 0, +2, +6, +8 (1034 digits, Jul 2002, Norman Luhn, APSieve, PFGW, PRIMO) 24947432928741915235*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1, +1 (1032 digits, 1999, Tony Forbes) 17293378403589618790*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1, +1 (1032 digits, 1999, TF) 11984747204231082960*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1, +1 (1032 digits, 1999, Tony Forbes) 3510160221387831655*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1, +1 (1031 digits, 1998, Tony Forbes) 331426625784936325*(2^3363 - 2^1121) - 6*2^1121 - 7, -5, -1, +1 (1030 digits, 1998, Tony Forbes) 76912895956636885*(2^3279 - 2^1093) - 6*2^1093 - 7, -5, -1, +1 (1004 digits, 1998, Tony Forbes) 10^999 + 4114571944591 + 0, 2, 6, 8 (1000 digits, 2004, Norman Luhn) 3041776596*2^2721 -1, +1, +5, +7 (827 digits, Jun 2005, Michael Gillion) 10^699 + 547634621251 + 0, 2, 6, 8 (700 digits, 1998, Warut Roonguthai) 10^599 + 1394283756151 + 0, 2, 6, 8 (1997, Warut Roonguthai) 5599559743211534470*(2^1623 - 2^541) - 6*2^541 - 7, -5, -1, +1 (508 digits, 1999, TF) 4256654198219263210*(2^1623 - 2^541) - 6*2^541 - 7, -5, -1, +1 (508 digits, 1999, TF) 4147394727940164070*(2^1623 - 2^541) - 6*2^541 - 7, -5, -1, +1 (508 digits, 1999, TF) 2024117939855381740*(2^1623 - 2^541) - 6*2^541 - 7, -5, -1, +1 (507 digits, 1999, TF) 1112353783291741360*(2^1623 - 2^541) - 6*2^541 - 7, -5, -1, +1 (507 digits, 1999, TF) 368765034921533620*(2^1623 - 2^541) - 6*2^541 - 7, -5, -1, +1 (507 digits, 1999, TF) 356389231693235110*(2^1623 - 2^541) - 6*2^541 - 7, -5, -1, +1 (507 digits, 1999, TF) 203929583771894350*(2^1623 - 2^541) - 6*2^541 - 7, -5, -1, +1 (506 digits, 1999, TF) 10^499 + 883750143961 + 0, 2, 6, 8 (1996, Warut Roonguthai) 10^400 + 84921178321 + 0, 2, 6, 8 (401 digits, 1997, Norman Luhn) 10^399 + 34993836001 + 0, 2, 6, 8 (1995, Warut Roonguthai) 6*2^676*(8389700*R + (2^-676 mod R)) + 1, -1, -5, -7; R = 11*13*17*...*271 (1995, 320 digits, A. O. L. Atkin) 2^1056 + 1301655396715 + 0, 2, 6, 8 (318 digits, 1994, TF, M500 140) 3196482199746436544*(2^993 - 2^331) - 6*2^331 - 7, -5, -1, +1 (318 digits, 1999, TF) 3076826866759666964*(2^993 - 2^331) - 6*2^331 - 7, -5, -1, +1 (318 digits, 1999, TF) 2967016240860282554*(2^993 - 2^331) - 6*2^331 - 7, -5, -1, +1 (318 digits, 1999, TF) 2954384367173940644*(2^993 - 2^331) - 6*2^331 - 7, -5, -1, +1 (318 digits, 1999, TF) 2482606917219670184*(2^993 - 2^331) - 6*2^331 - 7, -5, -1, +1 (318 digits, 1999, TF) 2273643231681582704*(2^993 - 2^331) - 6*2^331 - 7, -5, -1, +1 (318 digits, 1999, TF) 2169905234752686374*(2^993 - 2^331) - 6*2^331 - 7, -5, -1, +1 (318 digits, 1999, TF) 2087466127622566634*(2^993 - 2^331) - 6*2^331 - 7, -5, -1, +1 (318 digits, 1999, TF) 1780369641021132104*(2^993 - 2^331) - 6*2^331 - 7, -5, -1, +1 (318 digits, 1999, TF) 1234248689157945404*(2^993 - 2^331) - 6*2^331 - 7, -5, -1, +1 (318 digits, 1999, TF) 948918559593435374*(2^993 - 2^331) - 6*2^331 - 7, -5, -1, +1 (317 digits, 1999, TF) 758222384629350584*(2^993 - 2^331) - 6*2^331 - 7, -5, -1, +1 (317 digits, 1999, TF) 10^300 + 4408496431 + 0, 2, 6, 8 (301 digits, Feb 2005, Lloyd Miller) 10^299 + 175915846201 + 0, 2, 6, 8 (1995, Warut Roonguthai) 10^299 + 140159459341 + 0, 2, 6, 8 (1995, Warut Roonguthai) 10^250 + 4451442*541# + 271# + 199# + 103# + 9699751 + 0, 2, 6, 8 (1997, Chad Davis) 2^800 + 10169432335 + 0, 2, 6, 8 (1994, TF, M500 140) 2^768 + 118334806850815 + 0, 2, 6, 8 (1997, TF) 2^768 + 115191286680325 + 0, 2, 6, 8 (1997, TF) 2^768 + 114467564500375 + 0, 2, 6, 8 (1997, TF) 2^768 + 112598292196525 + 0, 2, 6, 8 (1997, TF) 2^768 + 111250552821445 + 0, 2, 6, 8 (1997, TF) 2^768 + 109909911499915 + 0, 2, 6, 8 (1997, TF) 2^768 + 108618713154625 + 0, 2, 6, 8 (1997, TF) 2^768 + 97745478256435 + 0, 2, 6, 8 (1997, TF) 2^768 + 86962265854375 + 0, 2, 6, 8 (1997, TF) 2^768 + 85107924666445 + 0, 2, 6, 8 (1997, TF) 2^768 + 84403623182965 + 0, 2, 6, 8 (1997, TF) 2^768 + 81922699941175 + 0, 2, 6, 8 (1997, TF) 2^768 + 81912699485605 + 0, 2, 6, 8 (1997, TF) 2^768 + 81889405794415 + 0, 2, 6, 8 (1997, TF) 2^768 + 78029841366745 + 0, 2, 6, 8 (1997, TF) 2^768 + 71932762489135 + 0, 2, 6, 8 (1997, TF) 2^768 + 65166613477135 + 0, 2, 6, 8 (1997, TF) 2^768 + 64916261691955 + 0, 2, 6, 8 (1997, TF) 2^768 + 64475950119205 + 0, 2, 6, 8 (1997, TF) 2^768 + 64383101815195 + 0, 2, 6, 8 (1997, TF) 2^768 + 59500804084885 + 0, 2, 6, 8 (1997, TF) 2^768 + 55590620978335 + 0, 2, 6, 8 (1997, TF) 2^768 + 51384791029945 + 0, 2, 6, 8 (1996, TF) 2^768 + 44894874661135 + 0, 2, 6, 8 (1996, TF) 2^768 + 41896107325165 + 0, 2, 6, 8 (1996, TF) 2^768 + 36796803105925 + 0, 2, 6, 8 (1996, TF) 2^768 + 34842924425395 + 0, 2, 6, 8 (1996, TF) 2^768 + 31635597960955 + 0, 2, 6, 8 (1996, TF) 2^768 + 29984622680875 + 0, 2, 6, 8 (1996, TF) 2^768 + 20662668256855 + 0, 2, 6, 8 (1996, TF) 2^768 + 19337497868005 + 0, 2, 6, 8 (1996, TF) 2^768 + 17075358394495 + 0, 2, 6, 8 (1996, TF) 2^768 + 16582812650035 + 0, 2, 6, 8 (1996, TF) 2^768 + 6045523108795 + 0, 2, 6, 8 (1996, TF) 2^768 + 4785564798205 + 0, 2, 6, 8 (1996, TF) 2^768 + 3395784238345 + 0, 2, 6, 8 (1996, TF) 2^768 + 1800289306825 + 0, 2, 6, 8 (1996, TF) 2^672 + 610470566785 + 0, 2, 6, 8 (1995, TF, M500 146) 3 * 10^200 + 1984539701 + 0, 2, 6, 8 (1994, TF, M500 137) 10^199 + 21156403891 + 0, 2, 6, 8 (1995, Warut Roonguthai) 2^576 + 105563424940885 + 0, 2, 6, 8 (1995, TF, M500 147) 2^576 + 105275560284085 + 0, 2, 6, 8 (1995, TF, M500 147) 2^576 + 104587961404915 + 0, 2, 6, 8 (1995, TF, M500 147) 2^576 + 103999464943285 + 0, 2, 6, 8 (1995, TF, M500 147) 2^576 + 103524025259335 + 0, 2, 6, 8 (1995, TF, M500 147) 2^576 + 103409773995355 + 0, 2, 6, 8 (1995, TF, M500 147) 2^576 + 103306069845295 + 0, 2, 6, 8 (1995, TF, M500 147) 2^576 + 102569182187845 + 0, 2, 6, 8 (1995, TF, M500 147) 2^576 + 101915580093595 + 0, 2, 6, 8 (1995, TF, M500 147) 2^576 + 100939814609545 + 0, 2, 6, 8 (1995, TF, M500 147) 2^576 + 100383537263095 + 0, 2, 6, 8 (1995, TF, M500 147) 2^576 + 99690584326825 + 0, 2, 6, 8 (1995, TF, M500 147) 2^576 + 98558353783255 + 0, 2, 6, 8 (1995, TF, M500 147) 2^576 + 96093313746565 + 0, 2, 6, 8 (1995, TF, M500 147) 2^576 + 93928219668775 + 0, 2, 6, 8 (1995, TF, M500 147) 2^576 + 92386018726675 + 0, 2, 6, 8 (1995, TF, M500 147) 2^576 + 91801658917285 + 0, 2, 6, 8 (1995, TF, M500 147) 2^576 + 91310831704465 + 0, 2, 6, 8 (1995, TF, M500 147) 2^576 + 89693780242285 + 0, 2, 6, 8 (1995, TF, M500 147) 2^576 + 89417243156425 + 0, 2, 6, 8 (1995, TF, M500 147) 2^576 + 89011193720815 + 0, 2, 6, 8 (1995, TF, M500 147) 2^576 + 88884331661575 + 0, 2, 6, 8 (1995, TF, M500 147) 2^576 + 87712094417215 + 0, 2, 6, 8 (1995, TF, M500 147) 2^576 + 85167527952775 + 0, 2, 6, 8 (1995, TF, M500 147) 2^576 + 82669538919235 + 0, 2, 6, 8 (1995, TF, M500 147) 2^576 + 80599603129495 + 0, 2, 6, 8 (1995, TF, M500 147) 2^576 + 79544263833295 + 0, 2, 6, 8 (1995, TF, M500 147) 2^576 + 78145540081975 + 0, 2, 6, 8 (1995, TF, M500 147) 2^576 + 77544784381255 + 0, 2, 6, 8 (1995, TF, M500 147) 2^576 + 76715118530395 + 0, 2, 6, 8 (1995, TF, M500 147) 2^576 + 76007023151425 + 0, 2, 6, 8 (1995, TF, M500 147) 2^576 + 74708171812255 + 0, 2, 6, 8 (1995, TF, M500 147) 2^576 + 74109701900215 + 0, 2, 6, 8 (1995, TF, M500 147) 2^576 + 73615292921515 + 0, 2, 6, 8 (1995, TF, M500 147) 2^576 + 72788822520325 + 0, 2, 6, 8 (1995, TF, M500 147) 2^576 + 71950649098855 + 0, 2, 6, 8 (1995, TF, M500 147) 2^576 + 71049727890325 + 0, 2, 6, 8 (1995, TF, M500 147) 2^576 + 71038597576165 + 0, 2, 6, 8 (1995, TF, M500 147) 2^576 + 70264631593375 + 0, 2, 6, 8 (1995, TF, M500 147) 2^576 + 69930380846545 + 0, 2, 6, 8 (1995, TF, M500 147) 2^576 + 68999930901085 + 0, 2, 6, 8 (1995, TF, M500 147) 2^576 + 68594164420735 + 0, 2, 6, 8 (1995, TF, M500 147) 2^576 + 68014118847355 + 0, 2, 6, 8 (1995, TF, M500 147) 2^576 + 67801890722785 + 0, 2, 6, 8 (1995, TF, M500 147) 2^576 + 67649316684595 + 0, 2, 6, 8 (1995, TF, M500 147) 2^576 + 67374355007605 + 0, 2, 6, 8 (1995, TF, M500 147) 2^576 + 67321079253955 + 0, 2, 6, 8 (1995, TF, M500 147) 2^576 + 67304758227205 + 0, 2, 6, 8 (1995, TF, M500 147) 2^576 + 65186004086695 + 0, 2, 6, 8 (1995, TF, M500 147) 2^576 + 64705084082725 + 0, 2, 6, 8 (1995, TF, M500 147) 2^576 + 64526411242015 + 0, 2, 6, 8 (1995, TF, M500 147) 2^576 + 64040739016165 + 0, 2, 6, 8 (1995, TF, M500 147) 2^576 + 63827286053155 + 0, 2, 6, 8 (1995, TF, M500 147) 2^576 + 63531064141225 + 0, 2, 6, 8 (1995, TF, M500 147) 2^576 + 63406490626285 + 0, 2, 6, 8 (1995, TF, M500 147) 2^576 + 62533630590055 + 0, 2, 6, 8 (1995, TF, M500 147) 2^576 + 61416136480015 + 0, 2, 6, 8 (1995, TF, M500 147) 2^576 + 60316833090775 + 0, 2, 6, 8 (1995, TF, M500 147) 2^576 + 59971411452115 + 0, 2, 6, 8 (1995, TF, M500 147) 2^576 + 59453242054705 + 0, 2, 6, 8 (1995, TF, M500 147) 2^576 + 58746199249285 + 0, 2, 6, 8 (1995, TF, M500 147) 2^576 + 57424882257115 + 0, 2, 6, 8 (1995, TF, M500 147) 2^576 + 57055677607735 + 0, 2, 6, 8 (1995, TF, M500 147) 2^576 + 56841363747205 + 0, 2, 6, 8 (1995, TF, M500 147) 2^576 + 56654594877505 + 0, 2, 6, 8 (1995, TF, M500 147) 2^576 + 56030814019315 + 0, 2, 6, 8 (1995, TF, M500 147) 2^576 + 55998349001275 + 0, 2, 6, 8 (1995, TF, M500 147) 2^576 + 54129677782525 + 0, 2, 6, 8 (1995, TF, M500 147) 2^576 + 53461336244815 + 0, 2, 6, 8 (1995, TF, M500 147) 2^576 + 52961365328545 + 0, 2, 6, 8 (1995, TF, M500 147) 2^576 + 51932831504815 + 0, 2, 6, 8 (1995, TF, M500 147) 2^576 + 51621221741455 + 0, 2, 6, 8 (1995, TF, M500 147) 2^576 + 49876014610585 + 0, 2, 6, 8 (1995, TF, M500 147) 2^576 + 49227156072355 + 0, 2, 6, 8 (1995, TF, M500 147) 2^576 + 48294831625945 + 0, 2, 6, 8 (1995, TF, M500 147) 2^576 + 48082642167415 + 0, 2, 6, 8 (1995, TF, M500 147) 2^576 + 48056760447145 + 0, 2, 6, 8 (1995, TF, M500 147) 2^576 + 48018365867635 + 0, 2, 6, 8 (1995, TF, M500 147) 2^576 + 48001060920535 + 0, 2, 6, 8 (1995, TF, M500 147) 2^576 + 46640151149545 + 0, 2, 6, 8 (1995, TF, M500 147) 2^576 + 46174930575685 + 0, 2, 6, 8 (1995, TF, M500 147) 2^576 + 44649030765985 + 0, 2, 6, 8 (1995, TF, M500 147) 2^576 + 43719189968365 + 0, 2, 6, 8 (1995, TF, M500 147) 2^576 + 42051476714515 + 0, 2, 6, 8 (1995, TF, M500 147) 2^576 + 41701777464895 + 0, 2, 6, 8 (1995, TF, M500 147) 2^576 + 40494769395985 + 0, 2, 6, 8 (1995, TF, M500 147) 2^576 + 39903092120845 + 0, 2, 6, 8 (1995, TF, M500 147) 2^576 + 38409888931675 + 0, 2, 6, 8 (1995, TF, M500 147) 2^576 + 37476093238495 + 0, 2, 6, 8 (1995, TF, M500 147) 2^576 + 37041833427685 + 0, 2, 6, 8 (1995, TF, M500 147) 2^576 + 36756568464625 + 0, 2, 6, 8 (1995, TF, M500 147) 2^576 + 36009800357155 + 0, 2, 6, 8 (1995, TF, M500 146) 2^576 + 29840007195805 + 0, 2, 6, 8 (1995, TF, M500 146) 2^576 + 26271205712425 + 0, 2, 6, 8 (1995, TF, M500 146) 2^576 + 24979064402665 + 0, 2, 6, 8 (1995, TF, M500 146) 2^576 + 23759662769215 + 0, 2, 6, 8 (1995, TF, M500 146) 2^576 + 23439006870085 + 0, 2, 6, 8 (1995, TF, M500 146) 2^576 + 22376533625455 + 0, 2, 6, 8 (1995, TF, M500 146) 2^576 + 21901205741095 + 0, 2, 6, 8 (1995, TF, M500 146) 2^576 + 19852122654625 + 0, 2, 6, 8 (1995, TF, M500 146) 2^576 + 19817551183285 + 0, 2, 6, 8 (1995, TF, M500 146) 2^576 + 19684730125405 + 0, 2, 6, 8 (1995, TF, M500 146) 2^576 + 19341052193185 + 0, 2, 6, 8 (1995, TF, M500 146) 2^576 + 19023609029875 + 0, 2, 6, 8 (1995, TF, M500 146) 2^576 + 16538222032495 + 0, 2, 6, 8 (1995, TF, M500 146) 2^576 + 15650842276435 + 0, 2, 6, 8 (1995, TF, M500 146) 2^576 + 14080569068575 + 0, 2, 6, 8 (1995, TF, M500 146) 2^576 + 13527943853335 + 0, 2, 6, 8 (1995, TF, M500 146) 2^576 + 10368345316135 + 0, 2, 6, 8 (1995, TF, M500 146) 2^576 + 10341431068495 + 0, 2, 6, 8 (1995, TF, M500 146) 2^576 + 9078846043255 + 0, 2, 6, 8 (1995, TF, M500 146) 2^576 + 5353216705825 + 0, 2, 6, 8 (1995, TF, M500 146) 2^576 + 4767880851715 + 0, 2, 6, 8 (1995, TF, M500 146) 2^576 + 4718728504135 + 0, 2, 6, 8 (1995, TF, M500 146) 2^576 + 4644383099155 + 0, 2, 6, 8 (1995, TF, M500 146) 2^576 + 2770227326365 + 0, 2, 6, 8 (1995, TF, M500 146) 2^576 + 1776239127385 + 0, 2, 6, 8 (1995, TF, M500 146) 2^576 + 1075984297705 + 0, 2, 6, 8 (1995, TF, M500 146) 2^576 + 137077748845 + 0, 2, 6, 8 (1995, TF, M500 146) 2^512 + 6804704327875 + 0, 2, 6, 8 (1996, TF) 2^512 + 6563825963995 + 0, 2, 6, 8 (1996, TF) 2^512 + 6214303378555 + 0, 2, 6, 8 (1996, TF) 2^512 + 4329425181535 + 0, 2, 6, 8 (1996, TF) 2^512 + 4169740662415 + 0, 2, 6, 8 (1996, TF) 2^512 + 3095827155385 + 0, 2, 6, 8 (1996, TF) 2^512 + 2948552468875 + 0, 2, 6, 8 (1996, TF) 2^512 + 2947750511215 + 0, 2, 6, 8 (1996, TF) 2^512 + 2938041121105 + 0, 2, 6, 8 (1996, TF) 2^512 + 2834650712095 + 0, 2, 6, 8 (1996, TF) 2^512 + 2050880695345 + 0, 2, 6, 8 (1996, TF) 2^512 + 1875338901715 + 0, 2, 6, 8 (1996, TF) 2^512 + 1850756149255 + 0, 2, 6, 8 (1996, TF) 2^512 + 1177634921665 + 0, 2, 6, 8 (1996, TF) 2^512 + 552933453085 + 0, 2, 6, 8 (1996, TF) 2^512 + 190449705235 + 0, 2, 6, 8 (1996, TF) 10^150 + 5653963981 + 0, 2, 6, 8 (151 digits, 1998, Lloyd Miller) 10^150 + 5356704061 + 0, 2, 6, 8 (151 digits, 1998, Lloyd Miller) 2^480 + 4292039691655 + 0, 2, 6, 8 (1995, TF) 2^480 + 4055152274035 + 0, 2, 6, 8 (1995, TF) 2^480 + 3589233406705 + 0, 2, 6, 8 (1995, TF) 2^480 + 2637335690215 + 0, 2, 6, 8 (1995, TF) 2^480 + 1707569837605 + 0, 2, 6, 8 (1995, TF) 2^480 + 1619113030705 + 0, 2, 6, 8 (1995, TF) 2^480 + 939176868625 + 0, 2, 6, 8 (1995, TF) 2^480 + 155339961415 + 0, 2, 6, 8 (1995, TF) 11517451403138980*(2^303 - 2^101) - 6*2^101 + -7, -5, -1, +1 (108 digits, 1998) 9597725879052610*(2^303 - 2^101) - 6*2^101 + -7, -5, -1, +1 (108 digits, 1998) 9275711176473040*(2^303 - 2^101) - 6*2^101 + -7, -5, -1, +1 (108 digits, 1998) 5944620512612080*(2^303 - 2^101) - 6*2^101 + -7, -5, -1, +1 (107 digits, 1998) 10^100+1053594241 + 0, 2, 6, 8 (101 digits, 2001, Norman Luhn) 10^99 + 349781731 + 0, 2, 6, 8 (1995, Warut Roonguthai) 2^320 + 39481384585 + 0, 2, 6, 8 (1995, TF) 4 * 10^81 + 324618211 + 0, 2, 6, 8 (1994, TF, M500 137) 4 * 10^81 + 289021921 + 0, 2, 6, 8 (1994, TF, M500 137) 10^73 + 17295391 + 0, 2, 6, 8 (1993, TF, M500 133) 10^49 + 58537891 + 0, 2, 6, 8 (1995, G.J. Stevens, J. Rec. Math. 27.1) 802359150003121605557551380867519560344356971 + 0, 2, 6, 8 (1982, M.A. Penk, J. Rec. Math. 14.3) Last updated: 30 Oct 2007