PRP Records

Probable Primes Top 10000

(291192 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 ?
60012^340000-19877102351Enzo Doria06/2013
60022^339990-114845102348Enzo Doria05/2015
6003(3^214516-2)/51383102346Lelio R Paula12/2013
600420^78661-99102341Lelio R Paula09/2016
60062^339951-19585102336Enzo Doria05/2013
6005(17*10^102335-167)/3102336Robert Price05/2022
6007(13*2^339943+1)/45102333Lelio R Paula12/2013
6008(236282#+121441)/(121441*25499429)102332Makoto Morimoto08/2020
60095*10^102323-91102324Robert Price03/2021
60112^339889+29327102317Yves Minet06/2010
6010(167*10^102315-17)/3102317Robert Price03/2020
601226348^7641+7641^26348102314Hans Havermann03/2019
6013Phi(239414,10)/6333218543102303Makoto Kamada08/2019
60142^339834-109493102301Enzo Doria04/2014
6015(16*10^102299-19)/3102300Robert Price02/2019
6016(11^98221-5^98221)/6102286Robert Price01/2013
60173^214365+1820102279Lelio R Paula10/2016
601831978^1579+1579^31978102278Hans Havermann03/2019
6019(89*10^102262-467)/9102263Robert Price04/2022
6020(11*2^339705-1)/183102261Lelio R Paula03/2014
60212^339694-16995102259Lelio R Paula09/2016
6022(56*10^102255+691)/9102256Robert Price05/2019
6023122^49008+121102249Norbert Schneider10/2018
6024(2^339652+3178)/2102246Stefano Morozzi09/2020
60257^120985-38102245Lelio R Paula10/2016
602610^102244+122961102245Patrick De Geest12/2016
602710^102244-27102244Lelio R Paula09/2016
60287^120982-62102242Lelio R Paula10/2016
6029(2^339640+2670)/2102242Stefano Morozzi09/2020
60304*6^131382-5102236Lelio R Paula11/2014
6031(2^339607+3290)/2102232Stefano Morozzi02/2021
60322^339586-1091102226Yves Minet11/2012
603311^98161-3072000102225Enzo Doria12/2012
60349*7^120961-4102225Lelio R Paula11/2014
60355*3^214250+2102224Serge Batalov10/2010
603612^94713-59102213Lelio R Paula10/2016
603712^94705+89102204Lelio R Paula10/2016
60382^339407-177102172Lelio R Paula08/2011
60394*10^102163-57102164Robert Price10/2018
60402^339355+65102157Lelio R Paula07/2011
6041(28*10^102142-31)/3102143Robert Price12/2019
6042(2^339323+47)/880715102141Lelio R Paula12/2013
6043(2^339268+1758)/2102130Stefano Morozzi09/2020
6044s(178551)102122Robert Price05/2020
6045(797*10^102112-23)/9102114Robert Price01/2022
6046(2^339175+2790)/2102102Stefano Morozzi02/2021
60482^339168+21102100Lelio R Paula07/2011
60492^339167-108807102100Enzo Doria03/2014
6047(2^339169+42)/2102100Stefano Morozzi09/2020
60502^339156+163102097Lelio R Paula08/2011
6051(2^339149+746)/2102094Stefano Morozzi09/2020
6052(25*10^102076-67)/3102077Robert Price06/2019
60532^339081-4543102074Yves Minet03/2019
6054(3435^28867-1)/3434102069Serge Batalov06/2022
60552*10^102062+77102063Robert Price08/2020
605724327^15668+15668^24327102053Hans Havermann02/2019
605610^102052+66793102053Patrick De Geest09/2022
605910^102052-7000001102052Robert Price06/2021
605810^102052-618623102052Patrick De Geest09/2022
60602^339000-175635102050Stefano Morozzi12/2021
60612^339000-151667102050Stefano Morozzi12/2021
60622^338999+79289102049Stefano Morozzi01/2022
60632^338994+188757102048Stefano Morozzi05/2022
60642^338992+181591102047Stefano Morozzi01/2022
60652^338992+136171102047Stefano Morozzi03/2022
60662^338991-109435102047Stefano Morozzi04/2022
60672^338991+193611102047Stefano Morozzi09/2022
60682^338988-134619102046Stefano Morozzi04/2022
60692^338986-60141102045Stefano Morozzi06/2022
60702^338981+106391102044Stefano Morozzi01/2022
60712^338982+34069102044Stefano Morozzi03/2022
60722^338982-58781102044Stefano Morozzi04/2022
60732^338977+83007102043Stefano Morozzi02/2022
60742^338979-83601102043Stefano Morozzi04/2022
60752^338975+28355102042Stefano Morozzi01/2022
60762^338973+134619102042Stefano Morozzi03/2022
60772^338974+183777102042Stefano Morozzi03/2022
60782^338975+69293102042Stefano Morozzi09/2022
608325080^11711+11711^25080102041Hans Havermann02/2019
60792^338972+152343102041Stefano Morozzi12/2021
60802^338972-180623102041Stefano Morozzi02/2022
60812^338972+84441102041Stefano Morozzi03/2022
60822^338971+64875102041Stefano Morozzi05/2022
60842^338968+53461102040Stefano Morozzi01/2022
60852^338969+160175102040Stefano Morozzi03/2022
60862^338967+13409102040Stefano Morozzi04/2022
60872^338969+67635102040Stefano Morozzi09/2022
60882^338963-127455102039Stefano Morozzi12/2021
60892^338963+132195102039Stefano Morozzi02/2022
60902^338966+137919102039Stefano Morozzi04/2022
6095(2^338982-7)/1754517102038Lelio R Paula12/2013
60912^338960+53935102038Stefano Morozzi01/2022
60922^338962+83157102038Stefano Morozzi02/2022
60932^338961+12341102038Stefano Morozzi04/2022
60942^338960+63933102038Stefano Morozzi05/2022
60962^338959-30919102037Stefano Morozzi02/2022
60972^338959+164769102037Stefano Morozzi05/2022
60982^338954-177003102036Stefano Morozzi12/2021
60992^338954+154207102036Stefano Morozzi01/2022
61002^338956+182493102036Stefano Morozzi02/2022
61012^338954+162715102036Stefano Morozzi04/2022
61022^338955-158241102036Stefano Morozzi04/2022
61032^338956-33395102036Stefano Morozzi04/2022
61042^338954+190915102036Stefano Morozzi06/2022
61052^338955+41643102036Stefano Morozzi09/2022
61062^338954+194427102036Stefano Morozzi09/2022
61072^338956+117967102036Stefano Morozzi09/2022
61082^338950+175077102035Stefano Morozzi12/2021
61092^338951-51687102035Stefano Morozzi12/2021
61102^338951+66123102035Stefano Morozzi06/2022
61112^338950+19317102035Stefano Morozzi09/2022
61122^338949+85449102034Stefano Morozzi03/2022
61132^338949-184585102034Stefano Morozzi04/2022
61142^338943+127103102033Stefano Morozzi12/2021
61152^338944-84003102033Stefano Morozzi04/2022
61162^338945+138605102033Stefano Morozzi05/2022
61172^338940+78607102032Stefano Morozzi01/2022
61182^338939+151569102031Stefano Morozzi12/2021
61192^338938+183975102031Stefano Morozzi03/2022
61202^338937-33429102031Stefano Morozzi04/2022
61212^338939-183259102031Stefano Morozzi04/2022
61222^338935+179999102030Stefano Morozzi01/2022
61232^338936+84147102030Stefano Morozzi03/2022
61242^338931+2349102029Stefano Morozzi12/2021
61252^338933+79935102029Stefano Morozzi01/2022
61262^338930+33819102029Stefano Morozzi03/2022
61272^338931-31555102029Stefano Morozzi03/2022
61282^338933+64169102029Stefano Morozzi05/2022
61292^338932-184965102029Stefano Morozzi06/2022
61302^338932+66943102029Stefano Morozzi09/2022
61312^338932+92995102029Stefano Morozzi09/2022
61322^338928+2367102028Stefano Morozzi12/2021
61332^338927+52779102028Stefano Morozzi01/2022
61342^338927-79539102028Stefano Morozzi02/2022
61352^338929+60819102028Stefano Morozzi03/2022
61362^338928-156959102028Stefano Morozzi03/2022
61372^338925+106631102027Stefano Morozzi01/2022
61382^338926+80235102027Stefano Morozzi01/2022
61392^338926+41607102027Stefano Morozzi09/2022
61402^338922-27291102026Stefano Morozzi12/2021
61412^338919-103849102025Stefano Morozzi01/2022
61422^338919+130221102025Stefano Morozzi01/2022
61432^338914-79121102024Stefano Morozzi02/2022
61442^338916+134047102024Stefano Morozzi03/2022
61452^338910+81027102023Stefano Morozzi01/2022
61462^338912+179821102023Stefano Morozzi01/2022
61472^338909+100769102022Stefano Morozzi11/2021
61482^338908-100839102022Stefano Morozzi12/2021
61492^338909-25951102022Stefano Morozzi12/2021
61502^338909+66845102022Stefano Morozzi09/2022
61512^338906-25823102021Stefano Morozzi12/2021
61522^338904+75951102021Stefano Morozzi12/2021
61532^338906+6685102021Stefano Morozzi01/2022
61542^338905+160365102021Stefano Morozzi03/2022
61552^338906+92617102021Stefano Morozzi09/2022
61562^338903+4155102020Stefano Morozzi01/2022
61572^338901+55571102020Stefano Morozzi01/2022
61582^338901-55479102020Stefano Morozzi02/2022
61592^338903+33555102020Stefano Morozzi03/2022
61602^338901+39777102020Stefano Morozzi05/2022
61612^338903+165981102020Stefano Morozzi06/2022
61622^338901-34863102020Stefano Morozzi06/2022
61632^338899-150051102019Stefano Morozzi12/2021
61642^338899+125951102019Stefano Morozzi12/2021
61652^338898+179623102019Stefano Morozzi01/2022
61662^338899-154467102019Stefano Morozzi02/2022
61672^338898-60753102019Stefano Morozzi06/2022
61682^338898+68635102019Stefano Morozzi09/2022
61692^338894-133295102018Stefano Morozzi04/2022
61702^338894+165573102018Stefano Morozzi06/2022
61712^338894-60957102018Stefano Morozzi06/2022
61802^338891-18885102017Enzo Doria05/2013
61722^338891+26499102017Stefano Morozzi12/2021
61732^338891-2625102017Stefano Morozzi12/2021
61742^338893+128727102017Stefano Morozzi01/2022
61752^338890-52965102017Stefano Morozzi01/2022
61762^338892-55467102017Stefano Morozzi02/2022
61772^338892-83393102017Stefano Morozzi04/2022
61782^338893+13649102017Stefano Morozzi05/2022
61792^338892+117957102017Stefano Morozzi09/2022
61812^338887+154029102016Stefano Morozzi01/2022
61822^338889-104293102016Stefano Morozzi02/2022
61832^338886+177159102015Stefano Morozzi12/2021
61842^338885+40425102015Stefano Morozzi06/2022
61852^338880+11341102014Stefano Morozzi03/2022
61862^338880-160383102014Stefano Morozzi06/2022
61872^338879-1059102013Stefano Morozzi12/2021
61882^338879-54525102013Stefano Morozzi02/2022
61892^338877-82813102013Stefano Morozzi03/2022
61902^338878-185883102013Stefano Morozzi06/2022
61912^338879-60355102013Stefano Morozzi06/2022
61922^338878+43719102013Stefano Morozzi09/2022
61932^338871+7679102011Stefano Morozzi02/2022
61942^338872+61141102011Stefano Morozzi03/2022
61952^338872-183923102011Stefano Morozzi04/2022
61962^338873+19527102011Stefano Morozzi09/2022
61972^338868-5985102010Stefano Morozzi02/2022
61982^338867+38079102010Stefano Morozzi05/2022
61992^338868+140437102010Stefano Morozzi06/2022
62002^338868-110175102010Stefano Morozzi06/2022
62012^338864+158191102009Stefano Morozzi02/2022
62022^338862+60433102008Stefano Morozzi03/2022
62032^338861-9453102008Stefano Morozzi04/2022
62042^338855+102141102006Stefano Morozzi12/2021
62052^338856-27173102006Stefano Morozzi12/2021
62062^338856-102839102006Stefano Morozzi01/2022
62072^338855+79629102006Stefano Morozzi01/2022
62082^338850+27987102005Stefano Morozzi01/2022
62092^338853+111791102005Stefano Morozzi04/2022
62102^338847+176013102004Stefano Morozzi12/2021
62112^338847-2365102004Stefano Morozzi12/2021
62122^338848+158941102004Stefano Morozzi03/2022
62132^338848+16671102004Stefano Morozzi06/2022
62142^338847-35061102004Stefano Morozzi06/2022
62152^338845+135831102003Stefano Morozzi03/2022
62162^338846+85695102003Stefano Morozzi03/2022
62172^338845+186525102003Stefano Morozzi04/2022
62182^338843-127261102002Stefano Morozzi12/2021
62192^338843+107205102002Stefano Morozzi02/2022
62202^338842-33185102002Stefano Morozzi04/2022
62212^338842+14227102002Stefano Morozzi05/2022
62258*10^102000+51102001Robert Price08/2019
62222^338838+150837102001Stefano Morozzi11/2021
62232^338838+141397102001Stefano Morozzi06/2022
62242^338839+194363102001Stefano Morozzi09/2022
62262^338835-150625102000Stefano Morozzi12/2021
62272^338834-32877102000Stefano Morozzi04/2022
6230(2^338832+642)/2101999Stefano Morozzi09/2020
62282^338833-100905101999Stefano Morozzi12/2021
62292^338831+54419101999Stefano Morozzi01/2022
62362^338829-113239101998Enzo Doria07/2014
62372^338828-113297101998Enzo Doria07/2014
62312^338830+25017101998Stefano Morozzi11/2021
62322^338831+321101998Stefano Morozzi11/2021
62332^338827-26197101998Stefano Morozzi12/2021
62342^338829+52727101998Stefano Morozzi01/2022
62352^338827-55461101998Stefano Morozzi02/2022
62382^338825-27453101997Stefano Morozzi12/2021
62392^338824+89355101997Stefano Morozzi05/2022
62402^338825-10995101997Stefano Morozzi06/2022
62412^338822+111175101996Stefano Morozzi03/2022
62422^338822+187819101996Stefano Morozzi04/2022
62432^338823+139545101996Stefano Morozzi05/2022
62442^338823-184905101996Stefano Morozzi06/2022
62452^338820+41317101995Stefano Morozzi06/2022
62462^338815+151175101994Stefano Morozzi12/2021
62472^338814-30011101994Stefano Morozzi02/2022
62482^338814+12309101994Stefano Morozzi04/2022
62492^338816-60647101994Stefano Morozzi06/2022
62502^338811-126999101993Stefano Morozzi12/2021


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: September, 22 2022 18:03 (Time in France)

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