PRP Records

Probable Primes Top 10000

(295036 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 ?
900118^80064-67100503Lelio R Paula10/2016
9002(13*10^100487+137)/3100488Robert Price06/2021
900323034^23034-12085^12085100483Serge Batalov04/2024
90045^143742-48100472Lelio R Paula10/2016
900524095^14784+14784^24095100472Hans Havermann08/2018
90062^333757-112123100471Enzo Doria06/2014
9007(7953^25759-1)/7952100470Serge Batalov06/2022
900823030^23030-7401^7401100464Serge Batalov04/2024
90097*10^100457-57100458Robert Price06/2020
901027358^4693+4693^27358100444Hans Havermann07/2018
90118*10^100439-51100440Robert Price08/2019
90122^333603-108861100425Enzo Doria03/2014
90139*7^118818-2100414Lelio R Paula11/2014
90142^333546-17097100408Enzo Doria05/2013
9015(19*10^100403+287)/9/3100403Alfred Reich11/2022
901617^81597+72100401Lelio R Paula10/2016
9017(3613^28219-1)/3612100396Serge Batalov06/2022
9018p(20559)#/2+8100384Robert Price01/2017
901911^96390-24100380Lelio R Paula10/2016
902023011^23011+18846^18846100373Serge Batalov04/2024
9021(2^333385+2730)/2100359Stefano Morozzi09/2020
90224832563059*2^333333+30029100353Donovan Johnson01/2008
902323565^18136+18136^23565100353Hans Havermann07/2018
90242^333354+763100350Lelio R Paula08/2011
9025(1608961*2^333333+1)/3100349Alex_soldier09/2022
9026(424517*2^333333+1)/5100349Alex_soldier09/2022
9027(887087*2^333333+1)/5100349Alex_soldier09/2022
9028(1159703*2^333333+1)/7100349Alex_soldier09/2022
9029(25*10^100343-67)/3100344Robert Price06/2019
90302^333289-109483100330Enzo Doria04/2014
90312^333240-2790209100316Enzo Doria03/2016
903223601^17798+17798^23601100314Hans Havermann05/2018
9034(2^333227-2^166614+1)/510031111/2006
90332^333225+719100311Lelio R Paula08/2011
90352^333221-2785333100310Enzo Doria10/2015
903676^53332-75100308Norbert Schneider02/2015
9037(29*10^100302+583)/9100303Robert Price06/2021
90386^128892-17573100298Enzo Doria03/2013
9039(47*10^100283-119)/9100284Robert Price05/2019
90402^333105-113215100275Enzo Doria07/2014
9041(31*2^333102+1)/2375100272Lelio R Paula11/2013
90424*10^100257-83100258Robert Price10/2018
904317^81476-74100253Lelio R Paula10/2016
904423392^19207+19207^23392100199Hans Havermann06/2018
9045(2^332830+750)/2100192Stefano Morozzi09/2020
9046(206*10^100189-17)/9100191Robert Price01/2020
904717^81417-16100180Theodore Burton11/2005
9048(2^332773+590)/2100175Stefano Morozzi09/2020
90492*23^73562+215100172Eric Chen08/2023
90512^332739-113215100165Enzo Doria07/2014
9050(19*31^67163-199)/30100165Eric Chen04/2024
90522^332730-1865621100162Enzo Doria03/2016
905391^51127-2100160Lelio R Paula09/2013
905415^85159-32100155Lelio R Paula10/2016
905522963^22963+4620^4620100143Serge Batalov04/2024
905622960^22960+9991^9991100128Serge Batalov04/2024
90576^128661+97100118Lelio R Paula10/2016
905819^78285+40100108Lelio R Paula07/2016
90596^128640+5100102Lelio R Paula11/2014
906010^100095+89973100096Patrick De Geest10/2022
906110^100095-400001100095Robert Price09/2021
906210^100095-203693100095Patrick De Geest10/2022
906322779^22970-22970^22779100093Norbert Schneider08/2020
9064(2^332468+3130)/2100083Stefano Morozzi09/2020
9065(14*10^100075+61)/3100076Robert Price12/2018
9066(2^332435+3098)/2100073Stefano Morozzi09/2020
906728562^3189+3189^28562100072Hans Havermann05/2018
906810^100053+56193100054Alexander Weiss04/2024
90696^128565-127100044Lelio R Paula08/2016
9070(2^332317+2106)/2100038Stefano Morozzi09/2020
90722^332309-133100035Lelio R Paula02/2011
90732^332307+731100035Lelio R Paula07/2011
9071937^33662-33662^937100035Norbert Schneider05/2023
90742^332301+12927100033Lelio R Paula04/2013
907523406^18781+18781^23406100031Hans Havermann04/2018
90762^332277-4573100026Yves Minet03/2019
907712^92684-13100023Lelio R Paula07/2016
907870^54207-54207^70100018Norbert Schneider04/2023
907978557*2^332193+55669100005Jorge Menendez04/2019
908078557*2^332192+72689100005Jorge Menendez04/2019
908110^100003+45799100004Stefano Morozzi04/2019
908210^100003+155461100004Stefano Morozzi04/2019
908310^100003+211389100004Stefano Morozzi04/2019
908410^100003+381027100004Stefano Morozzi04/2019
908510^100003+540703100004Stefano Morozzi04/2019
908610^100003+823977100004Stefano Morozzi04/2019
909810^100002+236023100003Stefano Morozzi05/2018
909910^100002+433741100003Stefano Morozzi05/2018
90872^332202+104659100003Stefano Morozzi04/2019
90882^332202+857539100003Stefano Morozzi04/2019
90892^332202+181773100003Stefano Morozzi04/2019
90902^332202+687543100003Stefano Morozzi04/2019
90912^332202+941595100003Stefano Morozzi04/2019
90922^332202+445813100003Stefano Morozzi04/2019
90932^332202+1599727100003Stefano Morozzi04/2019
90942^332202+1389567100003Stefano Morozzi04/2019
90952^332202+1206315100003Stefano Morozzi04/2019
90962^332202+1958647100003Stefano Morozzi04/2019
909710^100003-562857100003Patrick De Geest07/2019
9100(10^100002-1)/9-10^33441100002Akihiko Yoshida03/2018
9101(10^100002-1)/9-10^44692100002Akihiko Yoshida03/2018
910210^100002-249519100002Patrick De Geest07/2018
910310^100001+314199100002Patrick De Geest07/2018
912310^100000+3938473100001Robert Price05/2015
912410^100000+3979761100001Robert Price05/2015
912510^100000+4293973100001Robert Price09/2015
912010^100000+4858267100001Robert Price12/2015
912110^100000+5113299100001Robert Price02/2016
912210^100000+5169411100001Robert Price02/2016
911210^100000+5354043100001Robert Price05/2016
911310^100000+5717979100001Robert Price05/2016
911410^100000+6080631100001Robert Price07/2016
911510^100000+6308469100001Robert Price07/2016
911610^100000+6512023100001Robert Price08/2016
911710^100000+6596557100001Robert Price08/2016
911810^100000+7115409100001Robert Price10/2016
911910^100000+7235803100001Robert Price10/2016
912910^100000+7867333100001Robert Price12/2016
913010^100000+8743093100001Robert Price02/2017
913110^100000+8955391100001Robert Price03/2017
913210^100000+9180019100001Robert Price03/2017
913310^100000+9225987100001Robert Price04/2017
913410^100000+9265587100001Robert Price04/2017
913510^100000+9287049100001Robert Price04/2017
913610^100000+9425053100001Robert Price05/2017
913710^100000+9450769100001Robert Price05/2017
913810^100000+9528747100001Robert Smith05/2017
913910^100000+9548071100001Robert Price06/2017
914010^100000+10064287100001Robert Price08/2017
914110^100000+10229569100001Robert Price10/2017
910410^100000+11187931100001Robert Price03/2018
910510^100000+11264721100001Robert Price04/2018
910610^100000+11477661100001Robert Price05/2018
910710^100000+11644653100001Robert Price07/2018
910810^100001-431439100001Patrick De Geest07/2018
910910^100000+11769399100001Robert Price08/2018
911010^100000+11848159100001Robert Price08/2018
911110^100000+11863467100001Robert Price08/2018
912610^100000+11992051100001Robert Price09/2018
91272^332196-1-2*29696100001Matt Stath11/2018
912810^100000+12363957100001Robert Price11/2018
91422^332196+1+2*17152100001Matt Stath12/2018
914310^100000+12778033100001Robert Price02/2019
914410^100000+13581679100001Robert Price05/2019
914510^100000+13613199100001Robert Price05/2019
914610^100000+13752327100001Robert Price05/2019
914710^100000+14139243100001Robert Price06/2019
914810^100000+14151057100001Robert Price06/2019
914910^100000+14218923100001Robert Price06/2019
915010^100000+24543147100001Robert Price08/2021
915110^100000+24781659100001Robert Price08/2021
915210^100000+24906153100001Robert Price08/2021
915310^100000+25682679100001Robert Price10/2021
915410^100000+25905301100001Robert Price10/2021
915510^100000+25923967100001Robert Price10/2021
915610^100000+26061691100001Robert Price10/2021
915710^100000+26173351100001Robert Price11/2021
915810^100000+26673487100001Robert Price11/2021
915910^100000+26849359100001Robert Price12/2021
916010^100000+26893887100001Robert Price12/2021
916110^100000+26954551100001Robert Price12/2021
916210^100000+27024543100001Robert Price12/2021
916310^100000+27060877100001Robert Price12/2021
916410^100000+27617577100001Robert Price03/2022
916510^100000+27869671100001Robert Price03/2022
916610^100000+27956481100001Robert Price03/2022
916710^100000+28078261100001Robert Price03/2022
916810^100000+28150203100001Robert Price03/2022
916910^100000+28626021100001Robert Price05/2022
917010^100000+28649299100001Robert Price05/2022
917110^100000+29409799100001Robert Price06/2022
917210^100000+29415577100001Robert Price06/2022
917310^100000+29424201100001Robert Price06/2022
917410^100000+29610153100001Robert Price07/2022
917510^100000+30166789100001Robert Price07/2022
917610^100000+30338259100001Robert Price07/2022
917710^100000+30540031100001Robert Price07/2022
917810^100000+30635157100001Robert Price07/2022
917910^100000+30762711100001Robert Price07/2022
918010^100000+30862057100001Robert Price07/2022
918110^100000+30998953100001Robert Price07/2022
918210^100000+31405203100001Robert Price07/2022
918310^100000+40159119100001Robert Price07/2022
918410^100000+40181863100001Robert Price07/2022
918510^100000+40277131100001Robert Price07/2022
918610^100000+40326061100001Robert Price07/2022
918710^100000+40417411100001Robert Price07/2022
918810^100000+50049909100001Robert Price07/2022
918910^100000+50510163100001Robert Price07/2022
919010^100000+50591583100001Robert Price07/2022
919110^100000+50850357100001Robert Price07/2022
919210^100000+50974641100001Robert Price07/2022
919310^100000+51046671100001Robert Price07/2022
919410^100000+51459657100001Robert Price07/2022
919510^100000+70081471100001Robert Price07/2022
919610^100000+70159557100001Robert Price07/2022
919710^100000+70262479100001Robert Price07/2022
919810^100000+70417521100001Robert Price07/2022
919910^100000+70476531100001Robert Price07/2022
920010^100000+70534627100001Robert Price07/2022
920110^100000+70873077100001Robert Price07/2022
920210^100000+71114643100001Robert Price07/2022
920310^100000+71272539100001Robert Price07/2022
920410^100000+80025337100001Robert Price07/2022
920510^100000+71580817100001Robert Price07/2022
920610^100000+80270349100001Robert Price07/2022
920710^100000+29831551100001Robert Price07/2022
920810^100000+29955417100001Robert Price08/2022
9209479072067*10^99992+1+2*1779100001Matt Stath12/2022
921010^100000+90000000+851439100001Robert Price04/2023
921110^100000+90000000+1088017100001Robert Price04/2023
921210^100000+90000000+1288173100001Robert Price04/2023
921310^100000+90000000+1324549100001Robert Price04/2023
921410^100000+90000000+3643869100001Robert Price04/2023
921510^100000+110000000+60221100001Robert Price04/2023
921610^100000+110000000+373261100001Robert Price04/2023
921710^100000+110000000+497513100001Robert Price04/2023
921810^100000+120000000+33823100001Robert Price04/2023
921910^100000+120000000+419053100001Robert Price04/2023
922010^100000+32110183100001Robert Price09/2023
922110^100000+32401957100001Robert Price09/2023
922210^100000+32301613100001Robert Price09/2023
922310^100000+32784673100001Robert Price09/2023
922410^100000+32896891100001Robert Price09/2023
922510^100000+33279769100001Robert Price09/2023
922610^100000+33648571100001Robert Price09/2023
922710^100000+35157571100001Robert Price09/2023
922810^100000+35226249100001Robert Price09/2023
922910^100000+35282473100001Robert Price09/2023
923010^100000+35948761100001Robert Price09/2023
923110^100000+36443959100001Robert Price09/2023
923210^100000+36497599100001Robert Price09/2023
923310^100000+36558403100001Robert Price09/2023
923410^100000+36812521100001Robert Price09/2023
923510^100000+36858877100001Robert Price09/2023
923610^100000+37230043100001Robert Price09/2023
923710^100000+37449007100001Robert Price09/2023
923810^100000+37329319100001Robert Price09/2023
923910^100000+37677673100001Robert Price09/2023
924010^100000+37696443100001Robert Price09/2023
924110^100000+37782939100001Robert Price09/2023
924210^100000+37952341100001Robert Price09/2023
924310^100000+37954359100001Robert Price09/2023
924410^100000+37962607100001Robert Price09/2023
924510^100000+38385177100001Robert Price09/2023
924610^100000+38497629100001Robert Price09/2023
924710^100000+38506677100001Robert Price09/2023
924810^100000+38707363100001Robert Price09/2023
924910^100000+38769241100001Robert Price09/2023
925010^100000+38974447100001Robert Price09/2023


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: April, 23 2024 10:10 (Time in France)

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