PRP Records

Probable Primes Top 10000

(288949 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 ?
625125581^8582+8582^25581100626Hans Havermann08/2018
62526^129308-17723100622Enzo Doria03/2013
62536^129305+95100619Lelio R Paula10/2016
62542^334244-1167100618Lelio R Paula09/2016
6255(2^334233+3066)/2100614Stefano Morozzi09/2020
6256(76*10^100611+77)/9100612Robert Price10/2019
62577*10^100606-93100607Robert Price08/2020
6258(26*10^100566+49)/3100567Robert Price08/2019
6259(21*2^334050+1)/935100558Lelio R Paula12/2013
626024885^10984+10984^24885100555Hans Havermann07/2018
6261(78557*2^334018+1)/4326021100548Lelio R Paula07/2014
6262(35*10^100542+1)/9100543Serge Batalov11/2010
626323578^18367+18367^23578100538Hans Havermann07/2018
626413^90251+24100535Lelio R Paula10/2016
62652^333963+789100533Lelio R Paula08/2011
62662^333919-1840087100520Enzo Doria06/2015
6267(2^333916+1698)/2100519Stefano Morozzi09/2020
62682^333911+72623100518Enzo Doria04/2016
626924605^12168+12168^24605100517Hans Havermann08/2018
627066*10^100502+7100504Robert Price07/2020
627118^80064-67100503Lelio R Paula10/2016
6272(13*10^100487+137)/3100488Robert Price06/2021
62735^143742-48100472Lelio R Paula10/2016
627424095^14784+14784^24095100472Hans Havermann08/2018
62752^333757-112123100471Enzo Doria06/2014
62767*10^100457-57100458Robert Price06/2020
627727358^4693+4693^27358100444Hans Havermann07/2018
62788*10^100439-51100440Robert Price08/2019
62792^333603-108861100425Enzo Doria03/2014
62809*7^118818-2100414Lelio R Paula11/2014
62812^333546-17097100408Enzo Doria05/2013
628217^81597+72100401Lelio R Paula10/2016
6283p(20559)#/2+8100384Robert Price01/2017
628411^96390-24100380Lelio R Paula10/2016
6285(2^333385+2730)/2100359Stefano Morozzi09/2020
62874832563059*2^333333+30029100353Donovan Johnson01/2008
628623565^18136+18136^23565100353Hans Havermann07/2018
62882^333354+763100350Lelio R Paula08/2011
6289(25*10^100343-67)/3100344Robert Price06/2019
62902^333289-109483100330Enzo Doria04/2014
62912^333240-2790209100316Enzo Doria03/2016
629223601^17798+17798^23601100314Hans Havermann05/2018
6294(2^333227-2^166614+1)/510031111/2006
62932^333225+719100311Lelio R Paula08/2011
62952^333221-2785333100310Enzo Doria10/2015
629676^53332-75100308Norbert Schneider02/2015
6297(29*10^100302+583)/9100303Robert Price06/2021
62986^128892-17573100298Enzo Doria03/2013
6299(47*10^100283-119)/9100284Robert Price05/2019
63002^333105-113215100275Enzo Doria07/2014
6301(31*2^333102+1)/2375100272Lelio R Paula11/2013
63024*10^100257-83100258Robert Price10/2018
630317^81476-74100253Lelio R Paula10/2016
630423392^19207+19207^23392100199Hans Havermann06/2018
6305(2^332830+750)/2100192Stefano Morozzi09/2020
6306(206*10^100189-17)/9100191Robert Price01/2020
630717^81417-16100180Theodore Burton11/2005
6308(2^332773+590)/2100175Stefano Morozzi09/2020
63092^332739-113215100165Enzo Doria07/2014
63102^332730-1865621100162Enzo Doria03/2016
631191^51127-2100160Lelio R Paula09/2013
631215^85159-32100155Lelio R Paula10/2016
63136^128661+97100118Lelio R Paula10/2016
631419^78285+40100108Lelio R Paula07/2016
63156^128640+5100102Lelio R Paula11/2014
631610^100095-400001100095Robert Price09/2021
631722779^22970-22970^22779100093Norbert Schneider08/2020
6318(2^332468+3130)/2100083Stefano Morozzi09/2020
6319(14*10^100075+61)/3100076Robert Price12/2018
6320(2^332435+3098)/2100073Stefano Morozzi09/2020
632128562^3189+3189^28562100072Hans Havermann05/2018
63226^128565-127100044Lelio R Paula08/2016
6323(2^332317+2106)/2100038Stefano Morozzi09/2020
63242^332309-133100035Lelio R Paula02/2011
63252^332307+731100035Lelio R Paula07/2011
63262^332301+12927100033Lelio R Paula04/2013
632723406^18781+18781^23406100031Hans Havermann04/2018
63282^332277-4573100026Yves Minet03/2019
632912^92684-13100023Lelio R Paula07/2016
633078557*2^332193+55669100005Jorge Menendez04/2019
633178557*2^332192+72689100005Jorge Menendez04/2019
633210^100003+45799100004Stefano Morozzi04/2019
633310^100003+155461100004Stefano Morozzi04/2019
633410^100003+211389100004Stefano Morozzi04/2019
633510^100003+381027100004Stefano Morozzi04/2019
633610^100003+540703100004Stefano Morozzi04/2019
633710^100003+823977100004Stefano Morozzi04/2019
634910^100002+236023100003Stefano Morozzi05/2018
635010^100002+433741100003Stefano Morozzi05/2018
63382^332202+104659100003Stefano Morozzi04/2019
63392^332202+857539100003Stefano Morozzi04/2019
63402^332202+181773100003Stefano Morozzi04/2019
63412^332202+687543100003Stefano Morozzi04/2019
63422^332202+941595100003Stefano Morozzi04/2019
63432^332202+445813100003Stefano Morozzi04/2019
63442^332202+1599727100003Stefano Morozzi04/2019
63452^332202+1389567100003Stefano Morozzi04/2019
63462^332202+1206315100003Stefano Morozzi04/2019
63472^332202+1958647100003Stefano Morozzi04/2019
634810^100003-562857100003Patrick De Geest07/2019
6351(10^100002-1)/9-10^33441100002Akihiko Yoshida03/2018
6352(10^100002-1)/9-10^44692100002Akihiko Yoshida03/2018
635310^100002-249519100002Patrick De Geest07/2018
635410^100001+314199100002Patrick De Geest07/2018
647825206!+p(4114)100001Henri Lifchitz09/2005
647925206!-p(5447)100001Henri Lifchitz10/2005
648025206!-p(12402)100001Henri Lifchitz04/2006
648125206!-p(16290)100001Henri Lifchitz09/2006
648225206!-p(19647)100001Henri Lifchitz02/2007
64832^332194+11473100001Henri Lifchitz03/2007
647310^100000+342909100001Milton L. Brown12/2007
647410^100000+346579100001Robert Price04/2012
647510^100000+829767100001Robert Price05/2012
647610^100000+871899100001Robert Price05/2012
647710^100000+1475997100001Robert Price07/2012
646610^100000+1751769100001Robert Price08/2012
646710^100000+2155489100001Robert Price10/2012
646810^100000+2483527100001Robert Price12/2012
646910^100000+2503087100001Robert Price12/2012
647010^100000+2686179100001Robert Price12/2012
647110^100000+2688933100001Robert Price12/2012
647210^100000+3667159100001Robert Price08/2013
637410^100000+3938473100001Robert Price05/2015
637510^100000+3979761100001Robert Price05/2015
637610^100000+4293973100001Robert Price09/2015
637110^100000+4858267100001Robert Price12/2015
637210^100000+5113299100001Robert Price02/2016
637310^100000+5169411100001Robert Price02/2016
636310^100000+5354043100001Robert Price05/2016
636410^100000+5717979100001Robert Price05/2016
636510^100000+6080631100001Robert Price07/2016
636610^100000+6308469100001Robert Price07/2016
636710^100000+6512023100001Robert Price08/2016
636810^100000+6596557100001Robert Price08/2016
636910^100000+7115409100001Robert Price10/2016
637010^100000+7235803100001Robert Price10/2016
637710^100000+7867333100001Robert Price12/2016
637810^100000+8743093100001Robert Price02/2017
637910^100000+8955391100001Robert Price03/2017
638010^100000+9180019100001Robert Price03/2017
638110^100000+9225987100001Robert Price04/2017
638210^100000+9265587100001Robert Price04/2017
638310^100000+9287049100001Robert Price04/2017
638410^100000+9425053100001Robert Price05/2017
638510^100000+9450769100001Robert Price05/2017
638610^100000+9528747100001Robert Smith05/2017
638710^100000+9548071100001Robert Price06/2017
638810^100000+10064287100001Robert Price08/2017
638910^100000+10229569100001Robert Price10/2017
635510^100000+11187931100001Robert Price03/2018
635610^100000+11264721100001Robert Price04/2018
635710^100000+11477661100001Robert Price05/2018
635810^100000+11644653100001Robert Price07/2018
635910^100001-431439100001Patrick De Geest07/2018
636010^100000+11769399100001Robert Price08/2018
636110^100000+11848159100001Robert Price08/2018
636210^100000+11863467100001Robert Price08/2018
639010^100000+11992051100001Robert Price09/2018
63912^332196-1-2*29696100001Matt Stath11/2018
639210^100000+12363957100001Robert Price11/2018
63932^332196+1+2*17152100001Matt Stath12/2018
639410^100000+12778033100001Robert Price02/2019
639510^100000+13581679100001Robert Price05/2019
639610^100000+13613199100001Robert Price05/2019
639710^100000+13752327100001Robert Price05/2019
639810^100000+14139243100001Robert Price06/2019
639910^100000+14151057100001Robert Price06/2019
640010^100000+14218923100001Robert Price06/2019
644610^100000+15136771100001Robert Price09/2019
644710^100000+15219873100001Robert Price10/2019
644810^100000+15274039100001Robert Price10/2019
644910^100000+15394069100001Robert Price10/2019
645010^100000+15547119100001Robert Price10/2019
645110^100000+15932923100001Robert Price11/2019
645210^100000+16345467100001Robert Price12/2019
645310^100000+16672143100001Robert Price01/2020
645410^100000+16731939100001Robert Price02/2020
645510^100000+16907049100001Robert Price03/2020
645610^100000+17652523100001Robert Price05/2020
645710^100000+18047167100001Robert Price05/2020
645810^100000+18471819100001Robert Price06/2020
645910^100000+18494793100001Robert Price07/2020
646010^100000+18762609100001Robert Price07/2020
646110^100000+19204141100001Robert Price08/2020
646210^100000+19349793100001Robert Price08/2020
646310^100000+19495699100001Robert Price09/2020
646410^100000+19668927100001Robert Price09/2020
646510^100000+19704313100001Robert Price09/2020
641510^100000+19956229100001Robert Price09/2020
641610^100000+3*(10^37093-1)/9*10^31454+1100001Makoto Morimoto09/2020
641710^100000+4*(10^36149-1)/9*10^31926+1100001Makoto Morimoto09/2020
641810^100000+6*(10^41029-1)/9*10^29486+1100001Makoto Morimoto09/2020
641910^100000+7*(10^55505-1)/9*10^22248+1100001Makoto Morimoto09/2020
642010^100000+20234607100001Robert Price10/2020
642110^100000+20752303100001Robert Price11/2020
642210^100000+20774041100001Robert Price11/2020
642310^100000+20854741100001Robert Price11/2020
642410^100000+20908917100001Robert Price11/2020
642510^100000+20994793100001Robert Price11/2020
642610^100000+21354249100001Robert Price12/2020
642710^100000+21455559100001Robert Price12/2020
642810^100000+21538873100001Robert Price12/2020
642910^100000+21830901100001Robert Price01/2021
643010^100000+21842629100001Robert Price01/2021
643110^100000+21930861100001Robert Price01/2021
643210^100000+22092943100001Robert Price03/2021
643310^100000+22278417100001Robert Price03/2021
643410^100000+22388581100001Robert Price03/2021
643510^100000+22390933100001Robert Price03/2021
643610^100000+22436169100001Robert Price03/2021
643710^100000+22714557100001Robert Price04/2021
643810^100000+22847671100001Robert Price04/2021
643910^100000+23178567100001Robert Price05/2021
644010^100000+23332003100001Robert Price05/2021
644110^100000+23414571100001Robert Price05/2021
644210^100000+23529979100001Robert Price05/2021
644310^100000+23749243100001Robert Price06/2021
644410^100000+23821771100001Robert Price06/2021
644510^100000+24179307100001Robert Price07/2021
640110^100000+24543147100001Robert Price08/2021
640210^100000+24781659100001Robert Price08/2021
640310^100000+24906153100001Robert Price08/2021
640410^100000+25682679100001Robert Price10/2021
640510^100000+25905301100001Robert Price10/2021
640610^100000+25923967100001Robert Price10/2021
640710^100000+26061691100001Robert Price10/2021
640810^100000+26173351100001Robert Price11/2021
640910^100000+26673487100001Robert Price11/2021
641010^100000+26849359100001Robert Price12/2021
641110^100000+26893887100001Robert Price12/2021
641210^100000+26954551100001Robert Price12/2021
641310^100000+27024543100001Robert Price12/2021
641410^100000+27060877100001Robert Price12/2021
648410^99999+309403100000Daniel Heuer01/2004
648510^100000-260199100000Patrick De Geest01/2010
648610^99999-5951199999Patrick De Geest07/2009
648710^99998+23543799999Patrick De Geest02/2020
648810^99998-28658799998Patrick De Geest02/2020
648910^99997+7229799998Patrick De Geest02/2020
649010^99997-40262799997Patrick De Geest02/2020
649110^99996+27985399997Patrick De Geest02/2020
649210^99997-50000000199997Robert Price12/2020
649310^99996-9496199996Patrick De Geest02/2020
649410^99995+5463399996Patrick De Geest02/2020
649510^99995-10142999995Patrick De Geest02/2020
649610^99994+11727199995Patrick De Geest02/2020
649710^99994-45228999994Patrick De Geest02/2020
649810^99993+37131199994Patrick De Geest02/2020
649910^99993-18649199993Patrick De Geest02/2020
650010^99992+1743199993Patrick De Geest02/2020


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: January, 19 2022 17:15 (Time in France)

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