PRP Records

Probable Primes Top 10000

(295148 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 ?
72512^339889+29327102317Yves Minet06/2010
725226348^7641+7641^26348102314Hans Havermann03/2019
7253Phi(239414,10)/6333218543102303Makoto Kamada08/2019
72542^339834-109493102301Enzo Doria04/2014
7255(16*10^102299-19)/3102300Robert Price02/2019
7256(11^98221-5^98221)/6102286Robert Price01/2013
72573^214365+1820102279Lelio R Paula10/2016
725831978^1579+1579^31978102278Hans Havermann03/2019
7259(89*10^102262-467)/9102263Robert Price04/2022
7260(11*2^339705-1)/183102261Lelio R Paula03/2014
72612^339694-16995102259Lelio R Paula09/2016
7262(56*10^102255+691)/9102256Robert Price05/2019
7263122^49008+121102249Norbert Schneider10/2018
7264(2^339652+3178)/2102246Stefano Morozzi09/2020
72657^120985-38102245Lelio R Paula10/2016
726610^102244+122961102245Patrick De Geest12/2016
726710^102244-27102244Lelio R Paula09/2016
72687^120982-62102242Lelio R Paula10/2016
7269(2^339640+2670)/2102242Stefano Morozzi09/2020
72704*6^131382-5102236Lelio R Paula11/2014
7271(2^339607+3290)/2102232Stefano Morozzi02/2021
72722^339586-1091102226Yves Minet11/2012
727311^98161-3072000102225Enzo Doria12/2012
72749*7^120961-4102225Lelio R Paula11/2014
72755*3^214250+2102224Serge Batalov10/2010
727612^94713-59102213Lelio R Paula10/2016
727712^94705+89102204Lelio R Paula10/2016
72782^339407-177102172Lelio R Paula08/2011
72794*10^102163-57102164Robert Price10/2018
72802^339355+65102157Lelio R Paula07/2011
7281(28*10^102142-31)/3102143Robert Price12/2019
7282(2^339323+47)/880715102141Lelio R Paula12/2013
7283(2^339268+1758)/2102130Stefano Morozzi09/2020
7284s(178551)102122Robert Price05/2020
7285(797*10^102112-23)/9102114Robert Price01/2022
7286(5*10^102107+7)/3102108Tyler Busby02/2023
7287(2^339175+2790)/2102102Stefano Morozzi02/2021
72892^339168+21102100Lelio R Paula07/2011
72902^339167-108807102100Enzo Doria03/2014
7288(2^339169+42)/2102100Stefano Morozzi09/2020
72912^339156+163102097Lelio R Paula08/2011
7292(2^339149+746)/2102094Stefano Morozzi09/2020
7293(25*10^102076-67)/3102077Robert Price06/2019
72942^339081-4543102074Yves Minet03/2019
7295(3435^28867-1)/3434102069Serge Batalov06/2022
72962*10^102062+77102063Robert Price08/2020
729824327^15668+15668^24327102053Hans Havermann02/2019
729710^102052+66793102053Patrick De Geest09/2022
729910^102052-7000001102052Robert Price06/2021
730010^102052-618623102052Patrick De Geest09/2022
73012^339000-175635102050Stefano Morozzi12/2021
73022^339000-151667102050Stefano Morozzi12/2021
73032^338999+79289102049Stefano Morozzi01/2022
73042^338998-63897102049Stefano Morozzi12/2022
73052^338997+99659102049Stefano Morozzi02/2023
73062^338994+188757102048Stefano Morozzi05/2022
73072^338995+70785102048Stefano Morozzi11/2022
73082^338994-12183102048Stefano Morozzi12/2022
73092^338992+181591102047Stefano Morozzi01/2022
73102^338992+136171102047Stefano Morozzi03/2022
73112^338991-109435102047Stefano Morozzi04/2022
73122^338991+193611102047Stefano Morozzi09/2022
73132^338988-134619102046Stefano Morozzi04/2022
73142^338987-62557102046Stefano Morozzi12/2022
73152^338986-60141102045Stefano Morozzi06/2022
73162^338986+98209102045Stefano Morozzi11/2022
73172^338981+106391102044Stefano Morozzi01/2022
73182^338982+34069102044Stefano Morozzi03/2022
73192^338982-58781102044Stefano Morozzi04/2022
73202^338980+70833102044Stefano Morozzi11/2022
73212^338982-92111102044Stefano Morozzi02/2023
73222^338977+83007102043Stefano Morozzi02/2022
73232^338979-83601102043Stefano Morozzi04/2022
73242^338975+28355102042Stefano Morozzi01/2022
73252^338973+134619102042Stefano Morozzi03/2022
73262^338974+183777102042Stefano Morozzi03/2022
73272^338975+69293102042Stefano Morozzi09/2022
733525080^11711+11711^25080102041Hans Havermann02/2019
73282^338972+152343102041Stefano Morozzi12/2021
73292^338972-180623102041Stefano Morozzi02/2022
73302^338972+84441102041Stefano Morozzi03/2022
73312^338971+64875102041Stefano Morozzi05/2022
73322^338971+44985102041Stefano Morozzi11/2022
73332^338971+145065102041Stefano Morozzi11/2022
73342^338972-16635102041Stefano Morozzi01/2023
73362^338968+53461102040Stefano Morozzi01/2022
73372^338969+160175102040Stefano Morozzi03/2022
73382^338967+13409102040Stefano Morozzi04/2022
73392^338969+67635102040Stefano Morozzi09/2022
73402^338969-15913102040Stefano Morozzi01/2023
73412^338963-127455102039Stefano Morozzi12/2021
73422^338963+132195102039Stefano Morozzi02/2022
73432^338966+137919102039Stefano Morozzi04/2022
73442^338963-87529102039Stefano Morozzi12/2022
73452^338963-116859102039Stefano Morozzi02/2023
7352(2^338982-7)/1754517102038Lelio R Paula12/2013
73462^338960+53935102038Stefano Morozzi01/2022
73472^338962+83157102038Stefano Morozzi02/2022
73482^338961+12341102038Stefano Morozzi04/2022
73492^338960+63933102038Stefano Morozzi05/2022
73502^338960+170791102038Stefano Morozzi11/2022
73512^338962+21679102038Stefano Morozzi11/2022
73532^338959-30919102037Stefano Morozzi02/2022
73542^338959+164769102037Stefano Morozzi05/2022
73552^338958-43161102037Stefano Morozzi02/2023
73562^338954-177003102036Stefano Morozzi12/2021
73572^338954+154207102036Stefano Morozzi01/2022
73582^338956+182493102036Stefano Morozzi02/2022
73592^338954+162715102036Stefano Morozzi04/2022
73602^338955-158241102036Stefano Morozzi04/2022
73612^338956-33395102036Stefano Morozzi04/2022
73622^338954+190915102036Stefano Morozzi06/2022
73632^338955+41643102036Stefano Morozzi09/2022
73642^338954+194427102036Stefano Morozzi09/2022
73652^338956+117967102036Stefano Morozzi09/2022
73662^338956+195495102036Stefano Morozzi11/2022
73672^338954-186371102036Stefano Morozzi12/2022
73682^338950+175077102035Stefano Morozzi12/2021
73692^338951-51687102035Stefano Morozzi12/2021
73702^338951+66123102035Stefano Morozzi06/2022
73712^338950+19317102035Stefano Morozzi09/2022
73722^338951-161479102035Stefano Morozzi12/2022
73732^338950-66335102035Stefano Morozzi01/2023
73742^338951-41611102035Stefano Morozzi02/2023
73752^338952-142887102035Stefano Morozzi02/2023
73762^338949+85449102034Stefano Morozzi03/2022
73772^338949-184585102034Stefano Morozzi04/2022
73782^338949-88555102034Stefano Morozzi12/2022
73792^338948+49393102034Stefano Morozzi02/2023
73802^338949-17601102034Stefano Morozzi02/2023
73812^338943+127103102033Stefano Morozzi12/2021
73822^338944-84003102033Stefano Morozzi04/2022
73832^338945+138605102033Stefano Morozzi05/2022
73842^338943+95133102033Stefano Morozzi11/2022
73852^338943+147435102033Stefano Morozzi11/2022
73862^338943-116067102033Stefano Morozzi01/2023
73872^338940+78607102032Stefano Morozzi01/2022
73882^338942-86687102032Stefano Morozzi12/2022
73892^338939+151569102031Stefano Morozzi12/2021
73902^338938+183975102031Stefano Morozzi03/2022
73912^338937-33429102031Stefano Morozzi04/2022
73922^338939-183259102031Stefano Morozzi04/2022
73932^338937-139951102031Stefano Morozzi01/2023
73942^338938-40151102031Stefano Morozzi01/2023
73952^338938+74449102031Stefano Morozzi02/2023
73962^338935+179999102030Stefano Morozzi01/2022
73972^338936+84147102030Stefano Morozzi03/2022
73982^338935+171261102030Stefano Morozzi11/2022
73992^338936-41355102030Stefano Morozzi01/2023
74002^338931+2349102029Stefano Morozzi12/2021
74012^338933+79935102029Stefano Morozzi01/2022
74022^338930+33819102029Stefano Morozzi03/2022
74032^338931-31555102029Stefano Morozzi03/2022
74042^338933+64169102029Stefano Morozzi05/2022
74052^338932-184965102029Stefano Morozzi06/2022
74062^338932+66943102029Stefano Morozzi09/2022
74072^338932+92995102029Stefano Morozzi09/2022
74082^338931+97001102029Stefano Morozzi11/2022
74092^338932-165453102029Stefano Morozzi01/2023
74102^338933-40899102029Stefano Morozzi01/2023
74112^338928+2367102028Stefano Morozzi12/2021
74122^338927+52779102028Stefano Morozzi01/2022
74132^338927-79539102028Stefano Morozzi02/2022
74142^338929+60819102028Stefano Morozzi03/2022
74152^338928-156959102028Stefano Morozzi03/2022
74162^338927-63919102028Stefano Morozzi12/2022
74172^338925+106631102027Stefano Morozzi01/2022
74182^338926+80235102027Stefano Morozzi01/2022
74192^338926+41607102027Stefano Morozzi09/2022
74202^338925+195435102027Stefano Morozzi11/2022
74212^338924-92885102027Stefano Morozzi02/2023
74222^338922-27291102026Stefano Morozzi12/2021
74232^338919-103849102025Stefano Morozzi01/2022
74242^338919+130221102025Stefano Morozzi01/2022
74252^338918-91967102025Stefano Morozzi02/2023
74262^338917+561057102025Boyan Hu03/2024
74272^338914-79121102024Stefano Morozzi02/2022
74282^338916+134047102024Stefano Morozzi03/2022
74292^338914-11315102024Stefano Morozzi12/2022
74302^338910+81027102023Stefano Morozzi01/2022
74312^338912+179821102023Stefano Morozzi01/2022
74322^338909+100769102022Stefano Morozzi11/2021
74332^338908-100839102022Stefano Morozzi12/2021
74342^338909-25951102022Stefano Morozzi12/2021
74352^338909+66845102022Stefano Morozzi09/2022
74362^338907+73509102022Stefano Morozzi11/2022
74372^338906-25823102021Stefano Morozzi12/2021
74382^338904+75951102021Stefano Morozzi12/2021
74392^338906+6685102021Stefano Morozzi01/2022
74402^338905+160365102021Stefano Morozzi03/2022
74412^338906+92617102021Stefano Morozzi09/2022
74422^338904+47065102021Stefano Morozzi11/2022
74432^338905+70427102021Stefano Morozzi11/2022
74442^338905-163975102021Stefano Morozzi12/2022
74452^338903+4155102020Stefano Morozzi01/2022
74462^338901+55571102020Stefano Morozzi01/2022
74472^338901-55479102020Stefano Morozzi02/2022
74482^338903+33555102020Stefano Morozzi03/2022
74492^338901+39777102020Stefano Morozzi05/2022
74502^338903+165981102020Stefano Morozzi06/2022
74512^338901-34863102020Stefano Morozzi06/2022
74522^338899-150051102019Stefano Morozzi12/2021
74532^338899+125951102019Stefano Morozzi12/2021
74542^338898+179623102019Stefano Morozzi01/2022
74552^338899-154467102019Stefano Morozzi02/2022
74562^338898-60753102019Stefano Morozzi06/2022
74572^338898+68635102019Stefano Morozzi09/2022
74582^338897-85963102019Stefano Morozzi12/2022
74592^338898+174129102019Stefano Morozzi02/2023
74602^338894-133295102018Stefano Morozzi04/2022
74612^338894+165573102018Stefano Morozzi06/2022
74622^338894-60957102018Stefano Morozzi06/2022
74632^338894-89463102018Stefano Morozzi01/2023
74732^338891-18885102017Enzo Doria05/2013
74642^338891+26499102017Stefano Morozzi12/2021
74652^338891-2625102017Stefano Morozzi12/2021
74662^338893+128727102017Stefano Morozzi01/2022
74672^338890-52965102017Stefano Morozzi01/2022
74682^338892-55467102017Stefano Morozzi02/2022
74692^338892-83393102017Stefano Morozzi04/2022
74702^338893+13649102017Stefano Morozzi05/2022
74712^338892+117957102017Stefano Morozzi09/2022
74722^338892-14643102017Stefano Morozzi01/2023
74742^338887+154029102016Stefano Morozzi01/2022
74752^338889-104293102016Stefano Morozzi02/2022
74762^338887+147741102016Stefano Morozzi11/2022
74772^338889+195975102016Stefano Morozzi11/2022
74782^338889-117873102016Stefano Morozzi02/2023
74792^338886+177159102015Stefano Morozzi12/2021
74802^338885+40425102015Stefano Morozzi06/2022
74812^338884-13053102015Stefano Morozzi12/2022
74822^338885-112569102015Stefano Morozzi12/2022
74832^338880+11341102014Stefano Morozzi03/2022
74842^338880-160383102014Stefano Morozzi06/2022
74852^338880-161627102014Stefano Morozzi12/2022
74862^338879-1059102013Stefano Morozzi12/2021
74872^338879-54525102013Stefano Morozzi02/2022
74882^338877-82813102013Stefano Morozzi03/2022
74892^338878-185883102013Stefano Morozzi06/2022
74902^338879-60355102013Stefano Morozzi06/2022
74912^338878+43719102013Stefano Morozzi09/2022
74922^338879+122049102013Stefano Morozzi11/2022
74932^338874-15063102012Stefano Morozzi01/2023
74942^338874+148993102012Stefano Morozzi02/2023
74952^338871+7679102011Stefano Morozzi02/2022
74962^338872+61141102011Stefano Morozzi03/2022
74972^338872-183923102011Stefano Morozzi04/2022
74982^338873+19527102011Stefano Morozzi09/2022
74992^338870+70719102011Stefano Morozzi11/2022
7500(19*10^102011+287)/9/3102011Alfred Reich11/2022


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: May, 20 2024 09:22 (Time in France)

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