PRP Records

Probable Primes Top 10000

(252538 PRPs in the top)


What is a PRP ?

A PRP is a probable prime number, a number that nobody knows how to prove or disprove its primality.
Here are some criterions that can be used to recognize these numbers :

- N does not have any prime factor up to 2^32.
- N cannot be trivially written into a product.
- Take 3 square-free consecutive bases such that (b1/N)=(b2/N)=(b3/N)= -1. N should be such that b1^((N-1)/2)=b2^((N-1)/2)=b3^((N-1)/2)= -1 (mod N).
- Take a prime base such that (b/N)= -1 and b<>b1<>b2<>b3. N should pass the strong test in base b.
- or more (if someone has got an idea) !!!


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1-250   251-500   501-750   751-1000   1001-1250   1251-1500   1501-1750   1751-2000   
2001-2250   2251-2500   2501-2750   2751-3000   3001-3250   3251-3500   3501-3750   3751-4000   
4001-4250   4251-4500   4501-4750   4751-5000   5001-5250   5251-5500   5501-5750   5751-6000   
6001-6250   6251-6500   6501-6750   6751-7000   7001-7250   7251-7500   7501-7750   7751-8000   
8001-8250   8251-8500   8501-8750   8751-9000   9001-9250   9251-9500   9501-9750   9751-10000   


Rank Probable prime Digits (> 50000) Who ? When ?
625120^58408+7375991Lelio R Paula01/2015
62522^252418-142175986Yves Minet01/2013
6253(11*2^252396-1)/575980Lelio R Paula02/2014
62542^252365-11068975970Enzo Doria05/2014
625511^72949-102075969Enzo Doria11/2012
6256(2^252294+47)/654975945Lelio R Paula07/2012
62572^252261-11059575939Enzo Doria05/2014
62587^89853+7675935Lelio R Paula01/2015
62593^159132+5675926Lelio R Paula01/2015
6260730^26513+26513^73075916Norbert Schneider11/2016
6261(27*2^252163-1)/194575907Lelio R Paula01/2014
62625^108596-1484675906Enzo Doria02/2013
62635^108560-1484675881Enzo Doria02/2013
62642^252051-11035975875Enzo Doria05/2014
62652^251971-11050975851Enzo Doria05/2014
6266(42457^16384+1)/32768275819Lelio R Paula11/2011
626799655!6-275811Robert Price07/2017
626814*10^75798+108975800Jens K. Andersen11/2007
62692^251784-45575795Yves Minet03/2012
62702^251780-128975794Yves Minet01/2013
62712^251760-21560975788Paul Bourdelais03/2013
627299^37973+275781Lelio R Paula05/2013
6273(185*10^75777+7)/375779Robert Price02/2017
62745*2^251690+375767Lelio R Paula06/2014
62756^97366+9575766Lelio R Paula01/2015
6276s(23010)75760Hans Havermann11/2017
62778*6^97337-775744Lelio R Paula10/2014
62782^251588-11167775736Enzo Doria05/2014
62795^108346-1325675731Enzo Doria02/2013
6280(31^50777+1)/3275726Robert Price07/2013
6281(10^75707+77)/375707Robert Price01/2017
6282(174907#+1673)/(7*239*15467899)75700Makoto Morimoto10/2017
62832^251466+19375699Lelio R Paula03/2012
6284(5*2^251464+1)/942375695Lelio R Paula07/2012
62852^251422-10999175686Enzo Doria04/2014
62864*5^108245-375661Lelio R Paula10/2014
628712^70067-11^7006775615Jean-Louis Charton11/2006
628812^70066+9575614Lelio R Paula02/2015
6289-E20534/206375607Thomas Ritschel02/2017
629019^59120-5075600Lelio R Paula01/2015
629118^60222-469775596Enzo Doria03/2013
629218^60211-435575582Enzo Doria03/2013
62937*2^251014-975564Lelio R Paula06/2014
62946^97101-2575560Lelio R Paula01/2015
62958^83663-7^8366375556Jean-Louis Charton01/2004
62963^158331-14075544Lelio R Paula01/2015
6298(37^48157-1)/3675519Robert Price03/2012
6297(19*10^75518-43)/375519Robert Price10/2017
62992^250868-422975519Yves Minet08/2018
630010^75516+3146775517Patrick De Geest03/2016
630210^75516-10^2256-175516Serge Batalov01/2011
630110^75516-6659175516Patrick De Geest03/2016
63032^250851-18775514Lelio R Paula03/2012
6304(43*10^75498-7)/975499Robert Price12/2014
6305(3^158244-5)/24791675497Lelio R Paula06/2012
63064*5^107971-375470Lelio R Paula10/2014
6307(25*10^75465+71)/375466Robert Price01/2017
6308(5*2^250681-1)/99975461Lelio R Paula01/2014
6309(182*10^75456+1)/375458Robert Price02/2017
6310(2^250669-9)/9889772975451Lelio R Paula07/2012
631110^75441+1375442Robert Price01/2011
631210^75441-992375441Patrick De Geest05/2013
6313(27*2^250546-1)/645775420Lelio R Paula01/2014
63145*7^89231-675410Lelio R Paula10/2014
63162^250503-1699575409Lelio R Paula05/2013
631511^72411-2875409Lelio R Paula02/2015
63173*5^107860-875392Lelio R Paula10/2014
6318(34*10^75387-403)/975388Robert Price10/2017
63202^250426+2983575386Lelio R Paula05/2013
63198*3^157999-775386Lelio R Paula05/2014
6321(88*10^75381-43)/975382Robert Price11/2015
63222^250382-11175575373Enzo Doria05/2014
63232^250374-279805175371Eric Chen03/2016
6324(22*10^75368-1)/375369Robert Price12/2014
6325(19*10^75338+119)/375339Robert Price02/2017
63262^250223-185916775325Enzo Doria03/2016
6327(3^157854-7)/6602528275308Lelio R Paula06/2012
63283^157831-9875305Lelio R Paula01/2015
6329(46^45281+11^45281)/5775290Serge Batalov12/2016
633092^38335-9175282Norbert Schneider01/2016
63312^250020+1891575264Lelio R Paula05/2013
63322^250002+819375259Lelio R Paula05/2013
6333(11*2^249977-7)/1575251Renaud Lifchitz02/2011
6334(2^249968+78557)/6375247Lelio R Paula07/2012
6335(5*10^75244+91)/375245Robert Price11/2016
6336(10489!)^2+Prime(10489)75242Robert Price08/2014
633714^65644+6775237Lelio R Paula01/2015
6338(2^249928-5)/1185905975229Lelio R Paula06/2012
6339129^35638+275218Lelio R Paula05/2013
63402^249853-11047575214Enzo Doria05/2014
63412^249762+7540975186Enzo Doria04/2016
6342565^27318+27318^56575181Norbert Schneider12/2016
6343(2^249741-7)/68575177Lelio R Paula06/2012
63442^249726-11218175176Enzo Doria06/2014
63452^249721+1171575174Lelio R Paula05/2013
6346(38661^16384+1)/275158Lelio R Paula11/2011
63472^249658-4735575155Lelio R Paula05/2013
6348155^34311+275153Lelio R Paula05/2013
6349(10^87682+1)/(10^12526+1)/99009900990175145Maksym Voznyy06/2015
6350(23*2^249602+1)/9375138Lelio R Paula08/2012
63512^249522+841575114Lelio R Paula05/2013
63522^249489-11091175104Enzo Doria05/2014
6353(28*10^75078+131)/375079Robert Price02/2017
6354(206*10^75073-17)/975075Robert Price03/2017
63552^249368-11057375068Enzo Doria05/2014
6356NaturalLogarithmOf10(75067)75067Eric W. Weisstein10/2015
6357(2^249375+78557)/4505612575062Lelio R Paula07/2012
6358(26*10^75055-173)/375056Robert Price10/2017
63592^249272+19375039Lelio R Paula03/2012
636014^65468+4375035Lelio R Paula01/2015
636137^47844+3675030Norbert Schneider05/2014
6362(52*10^75027-7)/975028Robert Price12/2014
636320^57653+8975009Lelio R Paula01/2015
63642^249061-186835374975Enzo Doria04/2016
63657^88713+2*3^8871374972Mike Oakes07/2010
63662*6^96313+574947Lelio R Paula10/2014
6367(8*10^74944+49)/374945Robert Price03/2016
6368300^30247+30247^30074926Norbert Schneider11/2014
63692^248866-17174917Lelio R Paula03/2012
63706*5^107168-774908Lelio R Paula10/2014
637111^71926+7874904Lelio R Paula02/2015
63722^248824+186939174904Enzo Doria05/2016
63732^248816+111174902Lelio R Paula01/2011
6374V(388219)74890Serge Batalov03/2015
6375159^34017+15874885Norbert Schneider12/2018
63762*F(358297)-174880Henri Lifchitz12/2009
6377(22*10^74874-31)/974875Robert Price04/2015
637811^71892-7680000074868Enzo Doria01/2013
63799*5^107107-474866Lelio R Paula10/2014
63802^248678-71011174860Paul Bourdelais03/2013
6381(14*10^74858+211)/974859Robert Price11/2017
638213^67194+1274851Lelio R Paula01/2015
6383(7*2^248634+1)/7174846Lelio R Paula08/2012
638411^71867-309074842Enzo Doria12/2012
63852^248609+26214574839Lelio R Paula05/2013
63863^156852+5074838Lelio R Paula01/2015
638718^59607-1174824Lelio R Paula01/2015
63882^248556-11050774823Enzo Doria05/2014
63897^88531-3674818Lelio R Paula01/2015
6390p(15738)#/2+102474814Robert Price07/2017
63914*3^156740-574785Lelio R Paula05/2014
6392(32*10^74773-41)/974774Robert Price05/2015
6393(29*2^248384-1)/1374772Lelio R Paula01/2014
639419401!+19401#+174765D. Gazzoni Filho & Lucas Teixeira06/2005
63952^248357-1279741374763Enzo Doria03/2016
639642^46057+4174762Lelio R Paula07/2012
639711^71784-300074756Enzo Doria12/2012
639819^58458+1874754Lelio R Paula01/2015
639912^69265-3574750Lelio R Paula02/2015
640011^71771-4800074742Enzo Doria12/2012
6401(7*10^74741+197)/374742Robert Price07/2017
6402(2^248282-5)/5012974736Lelio R Paula06/2012
64032^248252-11010574732Enzo Doria04/2014
6404(7*10^74729+71)/374730Robert Price03/2016
64053^156614-5074724Lelio R Paula01/2015
6406(7*2^248213+1)/13574719Lelio R Paula07/2012
6407(2^248173+78557)/76774705Lelio R Paula07/2012
6408125^35622+12474697Norbert Schneider02/2015
6409(19*2^248099-1)/2974686Lelio R Paula01/2014
6410(86*10^74676-41)/974677Robert Price11/2015
6411(p(15711)#-4)/274672Robert Price09/2017
641210^74670+3174671Robert Price01/2011
641310^74670-12246374670Patrick De Geest05/2013
64142^248036-6974667Lelio R Paula03/2012
641511^71698-600074666Enzo Doria12/2012
641658*(10^(3*24887)-1)/111-174661Robert Price10/2014
641714^65139-4574658Lelio R Paula01/2015
64186^95921-13374642Lelio R Paula01/2015
641911^71675+7874642Lelio R Paula02/2015
642018^59449-9174625Lelio R Paula01/2015
64216^95864-1604374597Enzo Doria02/2013
64225*7^88261+674590Lelio R Paula10/2014
64239*5^106710+474589Lelio R Paula10/2014
6424(777*2^247788+1)/(11*754121)74588Jens K. Andersen09/2007
6425(265*10^74579+17)/374581Robert Price05/2016
6426(2^247759-1017)/331831171774574Lelio R Paula07/2012
64275^106682-2474568Lelio R Paula08/2014
6428474^27863+27863^47474556Norbert Schneider01/2017
6429(14*10^74540+79)/374541Robert Price11/2017
6430(35365^16384+1)/274524Lelio R Paula11/2011
64313^156161+266074508Lelio R Paula01/2015
64322^247474-5869574498Lelio R Paula05/2013
643311^71519-9074480Enzo Doria07/2012
6434(19*2^247419-1)/2320298374475Lelio R Paula01/2014
6436(2^247394-7)/374473Lelio R Paula06/2012
643518^59328+1774473Lelio R Paula01/2015
64372^247379-18174469Lelio R Paula03/2012
6438(15*2^247370-1)/47974465Lelio R Paula01/2014
64392^247344+204774458Lelio R Paula05/2013
64402^247311-101774449Lelio R Paula05/2013
64412^247280+774439Lelio R Paula03/2012
6442(68*10^74434+13)/974435Ray Chandler11/2010
64433^156004-6274433Lelio R Paula01/2015
644436095!2-6474416Robert Price06/2015
64452^247165-374405M. Frind & P. Underwood07/2002
64462^247150+3276974400Lelio R Paula05/2013
644712^68911+7374368Lelio R Paula01/2015
64482^246999+7490374355Enzo Doria04/2016
64492^246989-11064374352Enzo Doria05/2014
645010^74350+27943974351Patrick De Geest07/2017
6453(10^74350+11)/374350Robert Price11/2014
645110^74350-40000000174350Robert Price07/2017
645210^74350-71624174350Patrick De Geest07/2017
645410^74335+1365974336Patrick De Geest05/2013
645510^74335-5374335Robert Price05/2011
64562^246906-121574327Lelio R Paula05/2013
64572^246848+11174309Lelio R Paula03/2012
64586^95490-1844374306Enzo Doria03/2013
645918^59188-236974298Enzo Doria03/2013
6460(1363*2^246767+1)/(3*5*7*13^2*743)74281Jens K. Andersen09/2007
64612^246744+4075574278Lelio R Paula05/2013
6462(29*10^74276+91)/374277Robert Price03/2016
64636^95441+16374268Lelio R Paula01/2015
6464V(390863)74258Serge Batalov03/2015
646510^74254+9174255Robert Price03/2011
6467(19*10^74253-1)/974254Ray Chandler02/2012
646610^74254-13056974254Patrick De Geest05/2013
6468771^25718+25718^77174250Norbert Schneider10/2016
64692^246618+42774240Henri Lifchitz02/2005
647088*10^74234+374236Robert Price11/2016
64718*10^74234-4974235Robert Price04/2016
64722^246578+1228574228Lelio R Paula05/2013
6473(3^155569-5)/274225Lelio R Paula06/2012
647413^66628+4674220Lelio R Paula01/2015
64752^246476-1729574197Lelio R Paula05/2013
6476(61*10^74189-1)/374191Robert Price11/2017
6477(15185*2^246432-1)/1374187Lelio R Paula04/2015
64785*2^246413-374179Lelio R Paula05/2014
64792^246386-2863574170Lelio R Paula05/2013
64802^246334-11124574154Enzo Doria05/2014
64813*9^77708+7^77708-2*4^77708-374153Mike Oakes12/2010
648215^63045+8274147Lelio R Paula01/2015
648319255!+19255#+174140D. Gazzoni Filho & Lucas Teixeira06/2005
64842^246268-11050774135Enzo Doria05/2014
64853^155328+266074111Lelio R Paula01/2015
64862^246148-278624974098Enzo Doria03/2016
6487(16*10^74092-19)/374093Robert Price03/2016
64882^246115-11076774088Enzo Doria05/2014
64897^87666-6874087Lelio R Paula08/2014
649010^74079+114514191974080Marisa Kirisame03/2015
649110^74079+621974080Patrick De Geest03/2016
649210^74079-28270774079Patrick De Geest03/2016
6493129^35098+274078Lelio R Paula05/2013
64942^246025-11212374061Enzo Doria06/2014
6495(67*10^74045+17)/374047Robert Price02/2017
64962^245823+6683174001Marek Hubal02/2017
64975^105869+4274000Lelio R Paula08/2014
6498(21*2^245806+1)/63455573991Lelio R Paula08/2012
6499(22699*2^245762+1)/11973985Lelio R Paula06/2014
6500(3^155048-7)/26273975Lelio R Paula06/2012


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: February, 14 2019 10:37 (Time in France)

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