PRP Records

Probable Primes Top 10000

(293016 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 ?
62512^340291-20301102438Enzo Doria06/2013
625212^94915+89102431Lelio R Paula10/2016
6253(106*10^102422+17)/3102424Robert Price04/2021
625424466^15349+15349^24466102417Hans Havermann03/2019
62552^340212+111546435102415Paul Bourdelais10/2021
62562^340208-20373102413Enzo Doria06/2013
62576^131598-17273102404Enzo Doria02/2013
6258(2^340132+1182)/2102390Stefano Morozzi09/2020
6259(2^340133+1166)/2102390Stefano Morozzi09/2020
62602^340115-21181102385Enzo Doria06/2013
6261(55459*2^340090+1)/1591102379Lelio R Paula07/2014
6262(2^340064+3630)/2102370Stefano Morozzi09/2020
626389^52511-88^52511102365Robert Price06/2015
62643^214539-112756102362Enzo Doria07/2014
626523159^23450-23450^23159102353Norbert Schneider12/2019
62662^340000-19877102351Enzo Doria06/2013
62672^339990-114845102348Enzo Doria05/2015
6268(3^214516-2)/51383102346Lelio R Paula12/2013
626920^78661-99102341Lelio R Paula09/2016
62702^339951-19585102336Enzo Doria05/2013
6271(17*10^102335-167)/3102336Robert Price05/2022
6272(13*2^339943+1)/45102333Lelio R Paula12/2013
6273(236282#+121441)/(121441*25499429)102332Makoto Morimoto08/2020
62745*10^102323-91102324Robert Price03/2021
62762^339889+29327102317Yves Minet06/2010
6275(167*10^102315-17)/3102317Robert Price03/2020
627726348^7641+7641^26348102314Hans Havermann03/2019
6278Phi(239414,10)/6333218543102303Makoto Kamada08/2019
62792^339834-109493102301Enzo Doria04/2014
6280(16*10^102299-19)/3102300Robert Price02/2019
6281(11^98221-5^98221)/6102286Robert Price01/2013
62823^214365+1820102279Lelio R Paula10/2016
628331978^1579+1579^31978102278Hans Havermann03/2019
6284(89*10^102262-467)/9102263Robert Price04/2022
6285(11*2^339705-1)/183102261Lelio R Paula03/2014
62862^339694-16995102259Lelio R Paula09/2016
6287(56*10^102255+691)/9102256Robert Price05/2019
6288122^49008+121102249Norbert Schneider10/2018
6289(2^339652+3178)/2102246Stefano Morozzi09/2020
62907^120985-38102245Lelio R Paula10/2016
629110^102244+122961102245Patrick De Geest12/2016
629210^102244-27102244Lelio R Paula09/2016
62937^120982-62102242Lelio R Paula10/2016
6294(2^339640+2670)/2102242Stefano Morozzi09/2020
62954*6^131382-5102236Lelio R Paula11/2014
6296(2^339607+3290)/2102232Stefano Morozzi02/2021
62972^339586-1091102226Yves Minet11/2012
629811^98161-3072000102225Enzo Doria12/2012
62999*7^120961-4102225Lelio R Paula11/2014
63005*3^214250+2102224Serge Batalov10/2010
630112^94713-59102213Lelio R Paula10/2016
630212^94705+89102204Lelio R Paula10/2016
63032^339407-177102172Lelio R Paula08/2011
63044*10^102163-57102164Robert Price10/2018
63052^339355+65102157Lelio R Paula07/2011
6306(28*10^102142-31)/3102143Robert Price12/2019
6307(2^339323+47)/880715102141Lelio R Paula12/2013
6308(2^339268+1758)/2102130Stefano Morozzi09/2020
6309s(178551)102122Robert Price05/2020
6310(797*10^102112-23)/9102114Robert Price01/2022
6311(5*10^102107+7)/3102108Tyler Busby02/2023
6312(2^339175+2790)/2102102Stefano Morozzi02/2021
63142^339168+21102100Lelio R Paula07/2011
63152^339167-108807102100Enzo Doria03/2014
6313(2^339169+42)/2102100Stefano Morozzi09/2020
63162^339156+163102097Lelio R Paula08/2011
6317(2^339149+746)/2102094Stefano Morozzi09/2020
6318(25*10^102076-67)/3102077Robert Price06/2019
63192^339081-4543102074Yves Minet03/2019
6320(3435^28867-1)/3434102069Serge Batalov06/2022
63212*10^102062+77102063Robert Price08/2020
632324327^15668+15668^24327102053Hans Havermann02/2019
632210^102052+66793102053Patrick De Geest09/2022
632510^102052-7000001102052Robert Price06/2021
632410^102052-618623102052Patrick De Geest09/2022
63262^339000-175635102050Stefano Morozzi12/2021
63272^339000-151667102050Stefano Morozzi12/2021
63282^338999+79289102049Stefano Morozzi01/2022
63292^338998-63897102049Stefano Morozzi12/2022
63302^338997+99659102049Stefano Morozzi02/2023
63312^338994+188757102048Stefano Morozzi05/2022
63322^338995+70785102048Stefano Morozzi11/2022
63332^338994-12183102048Stefano Morozzi12/2022
63342^338992+181591102047Stefano Morozzi01/2022
63352^338992+136171102047Stefano Morozzi03/2022
63362^338991-109435102047Stefano Morozzi04/2022
63372^338991+193611102047Stefano Morozzi09/2022
63382^338988-134619102046Stefano Morozzi04/2022
63392^338987-62557102046Stefano Morozzi12/2022
63402^338986-60141102045Stefano Morozzi06/2022
63412^338986+98209102045Stefano Morozzi11/2022
63422^338981+106391102044Stefano Morozzi01/2022
63432^338982+34069102044Stefano Morozzi03/2022
63442^338982-58781102044Stefano Morozzi04/2022
63452^338980+70833102044Stefano Morozzi11/2022
63462^338982-92111102044Stefano Morozzi02/2023
63472^338977+83007102043Stefano Morozzi02/2022
63482^338979-83601102043Stefano Morozzi04/2022
63492^338975+28355102042Stefano Morozzi01/2022
63502^338973+134619102042Stefano Morozzi03/2022
63512^338974+183777102042Stefano Morozzi03/2022
63522^338975+69293102042Stefano Morozzi09/2022
636025080^11711+11711^25080102041Hans Havermann02/2019
63532^338972+152343102041Stefano Morozzi12/2021
63542^338972-180623102041Stefano Morozzi02/2022
63552^338972+84441102041Stefano Morozzi03/2022
63562^338971+64875102041Stefano Morozzi05/2022
63572^338971+44985102041Stefano Morozzi11/2022
63582^338971+145065102041Stefano Morozzi11/2022
63592^338972-16635102041Stefano Morozzi01/2023
63612^338968+53461102040Stefano Morozzi01/2022
63622^338969+160175102040Stefano Morozzi03/2022
63632^338967+13409102040Stefano Morozzi04/2022
63642^338969+67635102040Stefano Morozzi09/2022
63652^338969-15913102040Stefano Morozzi01/2023
63662^338963-127455102039Stefano Morozzi12/2021
63672^338963+132195102039Stefano Morozzi02/2022
63682^338966+137919102039Stefano Morozzi04/2022
63692^338963-87529102039Stefano Morozzi12/2022
63702^338963-116859102039Stefano Morozzi02/2023
6377(2^338982-7)/1754517102038Lelio R Paula12/2013
63712^338960+53935102038Stefano Morozzi01/2022
63722^338962+83157102038Stefano Morozzi02/2022
63732^338961+12341102038Stefano Morozzi04/2022
63742^338960+63933102038Stefano Morozzi05/2022
63752^338960+170791102038Stefano Morozzi11/2022
63762^338962+21679102038Stefano Morozzi11/2022
63782^338959-30919102037Stefano Morozzi02/2022
63792^338959+164769102037Stefano Morozzi05/2022
63802^338958-43161102037Stefano Morozzi02/2023
63812^338954-177003102036Stefano Morozzi12/2021
63822^338954+154207102036Stefano Morozzi01/2022
63832^338956+182493102036Stefano Morozzi02/2022
63842^338954+162715102036Stefano Morozzi04/2022
63852^338955-158241102036Stefano Morozzi04/2022
63862^338956-33395102036Stefano Morozzi04/2022
63872^338954+190915102036Stefano Morozzi06/2022
63882^338955+41643102036Stefano Morozzi09/2022
63892^338954+194427102036Stefano Morozzi09/2022
63902^338956+117967102036Stefano Morozzi09/2022
63912^338956+195495102036Stefano Morozzi11/2022
63922^338954-186371102036Stefano Morozzi12/2022
63932^338950+175077102035Stefano Morozzi12/2021
63942^338951-51687102035Stefano Morozzi12/2021
63952^338951+66123102035Stefano Morozzi06/2022
63962^338950+19317102035Stefano Morozzi09/2022
63972^338951-161479102035Stefano Morozzi12/2022
63982^338950-66335102035Stefano Morozzi01/2023
63992^338951-41611102035Stefano Morozzi02/2023
64002^338952-142887102035Stefano Morozzi02/2023
64012^338949+85449102034Stefano Morozzi03/2022
64022^338949-184585102034Stefano Morozzi04/2022
64032^338949-88555102034Stefano Morozzi12/2022
64042^338948+49393102034Stefano Morozzi02/2023
64052^338949-17601102034Stefano Morozzi02/2023
64062^338943+127103102033Stefano Morozzi12/2021
64072^338944-84003102033Stefano Morozzi04/2022
64082^338945+138605102033Stefano Morozzi05/2022
64092^338943+95133102033Stefano Morozzi11/2022
64102^338943+147435102033Stefano Morozzi11/2022
64112^338943-116067102033Stefano Morozzi01/2023
64122^338940+78607102032Stefano Morozzi01/2022
64132^338942-86687102032Stefano Morozzi12/2022
64142^338939+151569102031Stefano Morozzi12/2021
64152^338938+183975102031Stefano Morozzi03/2022
64162^338937-33429102031Stefano Morozzi04/2022
64172^338939-183259102031Stefano Morozzi04/2022
64182^338937-139951102031Stefano Morozzi01/2023
64192^338938-40151102031Stefano Morozzi01/2023
64202^338938+74449102031Stefano Morozzi02/2023
64212^338935+179999102030Stefano Morozzi01/2022
64222^338936+84147102030Stefano Morozzi03/2022
64232^338935+171261102030Stefano Morozzi11/2022
64242^338936-41355102030Stefano Morozzi01/2023
64252^338931+2349102029Stefano Morozzi12/2021
64262^338933+79935102029Stefano Morozzi01/2022
64272^338930+33819102029Stefano Morozzi03/2022
64282^338931-31555102029Stefano Morozzi03/2022
64292^338933+64169102029Stefano Morozzi05/2022
64302^338932-184965102029Stefano Morozzi06/2022
64312^338932+66943102029Stefano Morozzi09/2022
64322^338932+92995102029Stefano Morozzi09/2022
64332^338931+97001102029Stefano Morozzi11/2022
64342^338932-165453102029Stefano Morozzi01/2023
64352^338933-40899102029Stefano Morozzi01/2023
64362^338928+2367102028Stefano Morozzi12/2021
64372^338927+52779102028Stefano Morozzi01/2022
64382^338927-79539102028Stefano Morozzi02/2022
64392^338929+60819102028Stefano Morozzi03/2022
64402^338928-156959102028Stefano Morozzi03/2022
64412^338927-63919102028Stefano Morozzi12/2022
64422^338925+106631102027Stefano Morozzi01/2022
64432^338926+80235102027Stefano Morozzi01/2022
64442^338926+41607102027Stefano Morozzi09/2022
64452^338925+195435102027Stefano Morozzi11/2022
64462^338924-92885102027Stefano Morozzi02/2023
64472^338922-27291102026Stefano Morozzi12/2021
64482^338919-103849102025Stefano Morozzi01/2022
64492^338919+130221102025Stefano Morozzi01/2022
64502^338918-91967102025Stefano Morozzi02/2023
64512^338914-79121102024Stefano Morozzi02/2022
64522^338916+134047102024Stefano Morozzi03/2022
64532^338914-11315102024Stefano Morozzi12/2022
64542^338910+81027102023Stefano Morozzi01/2022
64552^338912+179821102023Stefano Morozzi01/2022
64562^338909+100769102022Stefano Morozzi11/2021
64572^338908-100839102022Stefano Morozzi12/2021
64582^338909-25951102022Stefano Morozzi12/2021
64592^338909+66845102022Stefano Morozzi09/2022
64602^338907+73509102022Stefano Morozzi11/2022
64612^338906-25823102021Stefano Morozzi12/2021
64622^338904+75951102021Stefano Morozzi12/2021
64632^338906+6685102021Stefano Morozzi01/2022
64642^338905+160365102021Stefano Morozzi03/2022
64652^338906+92617102021Stefano Morozzi09/2022
64662^338904+47065102021Stefano Morozzi11/2022
64672^338905+70427102021Stefano Morozzi11/2022
64682^338905-163975102021Stefano Morozzi12/2022
64692^338903+4155102020Stefano Morozzi01/2022
64702^338901+55571102020Stefano Morozzi01/2022
64712^338901-55479102020Stefano Morozzi02/2022
64722^338903+33555102020Stefano Morozzi03/2022
64732^338901+39777102020Stefano Morozzi05/2022
64742^338903+165981102020Stefano Morozzi06/2022
64752^338901-34863102020Stefano Morozzi06/2022
64762^338899-150051102019Stefano Morozzi12/2021
64772^338899+125951102019Stefano Morozzi12/2021
64782^338898+179623102019Stefano Morozzi01/2022
64792^338899-154467102019Stefano Morozzi02/2022
64802^338898-60753102019Stefano Morozzi06/2022
64812^338898+68635102019Stefano Morozzi09/2022
64822^338897-85963102019Stefano Morozzi12/2022
64832^338898+174129102019Stefano Morozzi02/2023
64842^338894-133295102018Stefano Morozzi04/2022
64852^338894+165573102018Stefano Morozzi06/2022
64862^338894-60957102018Stefano Morozzi06/2022
64872^338894-89463102018Stefano Morozzi01/2023
64972^338891-18885102017Enzo Doria05/2013
64882^338891+26499102017Stefano Morozzi12/2021
64892^338891-2625102017Stefano Morozzi12/2021
64902^338893+128727102017Stefano Morozzi01/2022
64912^338890-52965102017Stefano Morozzi01/2022
64922^338892-55467102017Stefano Morozzi02/2022
64932^338892-83393102017Stefano Morozzi04/2022
64942^338893+13649102017Stefano Morozzi05/2022
64952^338892+117957102017Stefano Morozzi09/2022
64962^338892-14643102017Stefano Morozzi01/2023
64982^338887+154029102016Stefano Morozzi01/2022
64992^338889-104293102016Stefano Morozzi02/2022
65002^338887+147741102016Stefano Morozzi11/2022


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: June, 04 2023 08:38 (Time in France)

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