PRP Records

Probable Primes Top 10000

(295829 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 ?
9251(2^334309+3122)/2100637Stefano Morozzi09/2020
92522^334294-113111100633Enzo Doria07/2014
925325581^8582+8582^25581100626Hans Havermann08/2018
92556^129308-17723100622Enzo Doria03/2013
9254(19*10^100627+287)/9/292157100622Alfred Reich11/2022
92566^129305+95100619Lelio R Paula10/2016
92572^334244-1167100618Lelio R Paula09/2016
9258(2^334233+3066)/2100614Stefano Morozzi09/2020
9259(76*10^100611+77)/9100612Robert Price10/2019
92607*10^100606-93100607Robert Price08/2020
9261(26*10^100566+49)/3100567Robert Price08/2019
9262(21*2^334050+1)/935100558Lelio R Paula12/2013
926324885^10984+10984^24885100555Hans Havermann07/2018
9264(1351^32119-1)/1350100551Serge Batalov06/2022
9265(78557*2^334018+1)/4326021100548Lelio R Paula07/2014
9266(35*10^100542+1)/9100543Serge Batalov11/2010
926723578^18367+18367^23578100538Hans Havermann07/2018
926813^90251+24100535Lelio R Paula10/2016
92692^333963+789100533Lelio R Paula08/2011
92702^333919-1840087100520Enzo Doria06/2015
9271(2^333916+1698)/2100519Stefano Morozzi09/2020
92722^333911+72623100518Enzo Doria04/2016
927324605^12168+12168^24605100517Hans Havermann08/2018
927466*10^100502+7100504Robert Price07/2020
927518^80064-67100503Lelio R Paula10/2016
9276(13*10^100487+137)/3100488Robert Price06/2021
927723034^23034-12085^12085100483Serge Batalov04/2024
92785^143742-48100472Lelio R Paula10/2016
927924095^14784+14784^24095100472Hans Havermann08/2018
92802^333757-112123100471Enzo Doria06/2014
9281(7953^25759-1)/7952100470Serge Batalov06/2022
928223030^23030-7401^7401100464Serge Batalov04/2024
92837*10^100457-57100458Robert Price06/2020
928427358^4693+4693^27358100444Hans Havermann07/2018
92858*10^100439-51100440Robert Price08/2019
92862^333603-108861100425Enzo Doria03/2014
92879*7^118818-2100414Lelio R Paula11/2014
92882^333546-17097100408Enzo Doria05/2013
9289(19*10^100403+287)/9/3100403Alfred Reich11/2022
929017^81597+72100401Lelio R Paula10/2016
9291(3613^28219-1)/3612100396Serge Batalov06/2022
9292p(20559)#/2+8100384Robert Price01/2017
929311^96390-24100380Lelio R Paula10/2016
929423011^23011+18846^18846100373Serge Batalov04/2024
9295(2^333385+2730)/2100359Stefano Morozzi09/2020
92964832563059*2^333333+30029100353Donovan Johnson01/2008
929723565^18136+18136^23565100353Hans Havermann07/2018
92982^333354+763100350Lelio R Paula08/2011
9299(1608961*2^333333+1)/3100349Alex_soldier09/2022
9300(424517*2^333333+1)/5100349Alex_soldier09/2022
9301(887087*2^333333+1)/5100349Alex_soldier09/2022
9302(1159703*2^333333+1)/7100349Alex_soldier09/2022
9303(25*10^100343-67)/3100344Robert Price06/2019
9304V(486482)/9729641100343Serge Batalov07/2024
93052^333289-109483100330Enzo Doria04/2014
9306(194^43853-1)/193100325Anonymous06/2024
93072^333240-2790209100316Enzo Doria03/2016
930823601^17798+17798^23601100314Hans Havermann05/2018
9310(2^333227-2^166614+1)/510031111/2006
93092^333225+719100311Lelio R Paula08/2011
93112^333221-2785333100310Enzo Doria10/2015
931276^53332-75100308Norbert Schneider02/2015
9313(29*10^100302+583)/9100303Robert Price06/2021
93146^128892-17573100298Enzo Doria03/2013
9315(47*10^100283-119)/9100284Robert Price05/2019
93162^333105-113215100275Enzo Doria07/2014
9317(31*2^333102+1)/2375100272Lelio R Paula11/2013
93184*10^100257-83100258Robert Price10/2018
931917^81476-74100253Lelio R Paula10/2016
932023392^19207+19207^23392100199Hans Havermann06/2018
9321(2^332830+750)/2100192Stefano Morozzi09/2020
9322(206*10^100189-17)/9100191Robert Price01/2020
932317^81417-16100180Theodore Burton11/2005
9324(2^332773+590)/2100175Stefano Morozzi09/2020
93252*23^73562+215100172Eric Chen08/2023
93272^332739-113215100165Enzo Doria07/2014
9326(19*31^67163-199)/30100165Eric Chen04/2024
93282^332730-1865621100162Enzo Doria03/2016
932991^51127-2100160Lelio R Paula09/2013
933015^85159-32100155Lelio R Paula10/2016
933122963^22963+4620^4620100143Serge Batalov04/2024
933222960^22960+9991^9991100128Serge Batalov04/2024
93336^128661+97100118Lelio R Paula10/2016
933419^78285+40100108Lelio R Paula07/2016
93356^128640+5100102Lelio R Paula11/2014
933610^100095+89973100096Patrick De Geest10/2022
933710^100095-400001100095Robert Price09/2021
933810^100095-203693100095Patrick De Geest10/2022
933922779^22970-22970^22779100093Norbert Schneider08/2020
9340(2^332468+3130)/2100083Stefano Morozzi09/2020
9341(14*10^100075+61)/3100076Robert Price12/2018
9342(2^332435+3098)/2100073Stefano Morozzi09/2020
934328562^3189+3189^28562100072Hans Havermann05/2018
934410^100053+56193100054Alexander Weiss04/2024
93456^128565-127100044Lelio R Paula08/2016
9346(2^332317+2106)/2100038Stefano Morozzi09/2020
93482^332309-133100035Lelio R Paula02/2011
93492^332307+731100035Lelio R Paula07/2011
9347937^33662-33662^937100035Norbert Schneider05/2023
93502^332301+12927100033Lelio R Paula04/2013
935117025^23642-23642^17025100032Norbert Schneider04/2024
935223406^18781+18781^23406100031Hans Havermann04/2018
93532^332277-4573100026Yves Minet03/2019
935412^92684-13100023Lelio R Paula07/2016
935570^54207-54207^70100018Norbert Schneider04/2023
935678557*2^332193+55669100005Jorge Menendez04/2019
935778557*2^332192+72689100005Jorge Menendez04/2019
935810^100003+45799100004Stefano Morozzi04/2019
935910^100003+155461100004Stefano Morozzi04/2019
936010^100003+211389100004Stefano Morozzi04/2019
936110^100003+381027100004Stefano Morozzi04/2019
936210^100003+540703100004Stefano Morozzi04/2019
936310^100003+823977100004Stefano Morozzi04/2019
937510^100002+236023100003Stefano Morozzi05/2018
937610^100002+433741100003Stefano Morozzi05/2018
93642^332202+104659100003Stefano Morozzi04/2019
93652^332202+857539100003Stefano Morozzi04/2019
93662^332202+181773100003Stefano Morozzi04/2019
93672^332202+687543100003Stefano Morozzi04/2019
93682^332202+941595100003Stefano Morozzi04/2019
93692^332202+445813100003Stefano Morozzi04/2019
93702^332202+1599727100003Stefano Morozzi04/2019
93712^332202+1389567100003Stefano Morozzi04/2019
93722^332202+1206315100003Stefano Morozzi04/2019
93732^332202+1958647100003Stefano Morozzi04/2019
937410^100003-562857100003Patrick De Geest07/2019
9377(10^100002-1)/9-10^33441100002Akihiko Yoshida03/2018
9378(10^100002-1)/9-10^44692100002Akihiko Yoshida03/2018
937910^100002-249519100002Patrick De Geest07/2018
938010^100001+314199100002Patrick De Geest07/2018
943125206!+p(4114)100001Henri Lifchitz09/2005
943225206!-p(5447)100001Henri Lifchitz10/2005
943325206!-p(12402)100001Henri Lifchitz04/2006
943425206!-p(16290)100001Henri Lifchitz09/2006
943525206!-p(19647)100001Henri Lifchitz02/2007
94362^332194+11473100001Henri Lifchitz03/2007
942610^100000+342909100001Milton L. Brown12/2007
942710^100000+346579100001Robert Price04/2012
942810^100000+829767100001Robert Price05/2012
942910^100000+871899100001Robert Price05/2012
943010^100000+1475997100001Robert Price07/2012
941910^100000+1751769100001Robert Price08/2012
942010^100000+2155489100001Robert Price10/2012
942110^100000+2483527100001Robert Price12/2012
942210^100000+2503087100001Robert Price12/2012
942310^100000+2686179100001Robert Price12/2012
942410^100000+2688933100001Robert Price12/2012
942510^100000+3667159100001Robert Price08/2013
940010^100000+3938473100001Robert Price05/2015
940110^100000+3979761100001Robert Price05/2015
940210^100000+4293973100001Robert Price09/2015
939710^100000+4858267100001Robert Price12/2015
939810^100000+5113299100001Robert Price02/2016
939910^100000+5169411100001Robert Price02/2016
938910^100000+5354043100001Robert Price05/2016
939010^100000+5717979100001Robert Price05/2016
939110^100000+6080631100001Robert Price07/2016
939210^100000+6308469100001Robert Price07/2016
939310^100000+6512023100001Robert Price08/2016
939410^100000+6596557100001Robert Price08/2016
939510^100000+7115409100001Robert Price10/2016
939610^100000+7235803100001Robert Price10/2016
940610^100000+7867333100001Robert Price12/2016
940710^100000+8743093100001Robert Price02/2017
940810^100000+8955391100001Robert Price03/2017
940910^100000+9180019100001Robert Price03/2017
941010^100000+9225987100001Robert Price04/2017
941110^100000+9265587100001Robert Price04/2017
941210^100000+9287049100001Robert Price04/2017
941310^100000+9425053100001Robert Price05/2017
941410^100000+9450769100001Robert Price05/2017
941510^100000+9528747100001Robert Smith05/2017
941610^100000+9548071100001Robert Price06/2017
941710^100000+10064287100001Robert Price08/2017
941810^100000+10229569100001Robert Price10/2017
938110^100000+11187931100001Robert Price03/2018
938210^100000+11264721100001Robert Price04/2018
938310^100000+11477661100001Robert Price05/2018
938410^100000+11644653100001Robert Price07/2018
938510^100001-431439100001Patrick De Geest07/2018
938610^100000+11769399100001Robert Price08/2018
938710^100000+11848159100001Robert Price08/2018
938810^100000+11863467100001Robert Price08/2018
940310^100000+11992051100001Robert Price09/2018
94042^332196-1-2*29696100001Matt Stath11/2018
940510^100000+12363957100001Robert Price11/2018
94372^332196+1+2*17152100001Matt Stath12/2018
943810^100000+12778033100001Robert Price02/2019
943910^100000+13581679100001Robert Price05/2019
944010^100000+13613199100001Robert Price05/2019
944110^100000+13752327100001Robert Price05/2019
944210^100000+14139243100001Robert Price06/2019
944310^100000+14151057100001Robert Price06/2019
944410^100000+14218923100001Robert Price06/2019
944510^100000+24543147100001Robert Price08/2021
944610^100000+24781659100001Robert Price08/2021
944710^100000+24906153100001Robert Price08/2021
944810^100000+25682679100001Robert Price10/2021
944910^100000+25905301100001Robert Price10/2021
945010^100000+25923967100001Robert Price10/2021
945110^100000+26061691100001Robert Price10/2021
945210^100000+26173351100001Robert Price11/2021
945310^100000+26673487100001Robert Price11/2021
945410^100000+26849359100001Robert Price12/2021
945510^100000+26893887100001Robert Price12/2021
945610^100000+26954551100001Robert Price12/2021
945710^100000+27024543100001Robert Price12/2021
945810^100000+27060877100001Robert Price12/2021
945910^100000+27617577100001Robert Price03/2022
946010^100000+27869671100001Robert Price03/2022
946110^100000+27956481100001Robert Price03/2022
946210^100000+28078261100001Robert Price03/2022
946310^100000+28150203100001Robert Price03/2022
946410^100000+28626021100001Robert Price05/2022
946510^100000+28649299100001Robert Price05/2022
946610^100000+29409799100001Robert Price06/2022
946710^100000+29415577100001Robert Price06/2022
946810^100000+29424201100001Robert Price06/2022
946910^100000+29610153100001Robert Price07/2022
947010^100000+30166789100001Robert Price07/2022
947110^100000+30338259100001Robert Price07/2022
947210^100000+30540031100001Robert Price07/2022
947310^100000+30635157100001Robert Price07/2022
947410^100000+30762711100001Robert Price07/2022
947510^100000+30862057100001Robert Price07/2022
947610^100000+30998953100001Robert Price07/2022
947710^100000+31405203100001Robert Price07/2022
947810^100000+40159119100001Robert Price07/2022
947910^100000+40181863100001Robert Price07/2022
948010^100000+40277131100001Robert Price07/2022
948110^100000+40326061100001Robert Price07/2022
948210^100000+40417411100001Robert Price07/2022
948310^100000+50049909100001Robert Price07/2022
948410^100000+50510163100001Robert Price07/2022
948510^100000+50591583100001Robert Price07/2022
948610^100000+50850357100001Robert Price07/2022
948710^100000+50974641100001Robert Price07/2022
948810^100000+51046671100001Robert Price07/2022
948910^100000+51459657100001Robert Price07/2022
949010^100000+70081471100001Robert Price07/2022
949110^100000+70159557100001Robert Price07/2022
949210^100000+70262479100001Robert Price07/2022
949310^100000+70417521100001Robert Price07/2022
949410^100000+70476531100001Robert Price07/2022
949510^100000+70534627100001Robert Price07/2022
949610^100000+70873077100001Robert Price07/2022
949710^100000+71114643100001Robert Price07/2022
949810^100000+71272539100001Robert Price07/2022
949910^100000+80025337100001Robert Price07/2022
950010^100000+71580817100001Robert Price07/2022


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: September, 18 2024 11:41 (Time in France)

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