PRP Records

Probable Primes Top 10000

(290751 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 ?
60012^338936+84147102030Stefano Morozzi03/2022
60022^338931+2349102029Stefano Morozzi12/2021
60032^338933+79935102029Stefano Morozzi01/2022
60042^338930+33819102029Stefano Morozzi03/2022
60052^338931-31555102029Stefano Morozzi03/2022
60062^338933+64169102029Stefano Morozzi05/2022
60072^338928+2367102028Stefano Morozzi12/2021
60082^338927+52779102028Stefano Morozzi01/2022
60092^338927-79539102028Stefano Morozzi02/2022
60102^338929+60819102028Stefano Morozzi03/2022
60112^338928-156959102028Stefano Morozzi03/2022
60122^338925+106631102027Stefano Morozzi01/2022
60132^338926+80235102027Stefano Morozzi01/2022
60142^338922-27291102026Stefano Morozzi12/2021
60152^338919-103849102025Stefano Morozzi01/2022
60162^338919+130221102025Stefano Morozzi01/2022
60172^338914-79121102024Stefano Morozzi02/2022
60182^338916+134047102024Stefano Morozzi03/2022
60192^338910+81027102023Stefano Morozzi01/2022
60202^338912+179821102023Stefano Morozzi01/2022
60212^338909+100769102022Stefano Morozzi11/2021
60222^338908-100839102022Stefano Morozzi12/2021
60232^338909-25951102022Stefano Morozzi12/2021
60242^338906-25823102021Stefano Morozzi12/2021
60252^338904+75951102021Stefano Morozzi12/2021
60262^338906+6685102021Stefano Morozzi01/2022
60272^338905+160365102021Stefano Morozzi03/2022
60282^338903+4155102020Stefano Morozzi01/2022
60292^338901+55571102020Stefano Morozzi01/2022
60302^338901-55479102020Stefano Morozzi02/2022
60312^338903+33555102020Stefano Morozzi03/2022
60322^338901+39777102020Stefano Morozzi05/2022
60332^338899-150051102019Stefano Morozzi12/2021
60342^338899+125951102019Stefano Morozzi12/2021
60352^338898+179623102019Stefano Morozzi01/2022
60362^338899-154467102019Stefano Morozzi02/2022
60372^338894-133295102018Stefano Morozzi04/2022
60452^338891-18885102017Enzo Doria05/2013
60382^338891+26499102017Stefano Morozzi12/2021
60392^338891-2625102017Stefano Morozzi12/2021
60402^338893+128727102017Stefano Morozzi01/2022
60412^338890-52965102017Stefano Morozzi01/2022
60422^338892-55467102017Stefano Morozzi02/2022
60432^338892-83393102017Stefano Morozzi04/2022
60442^338893+13649102017Stefano Morozzi05/2022
60462^338887+154029102016Stefano Morozzi01/2022
60472^338889-104293102016Stefano Morozzi02/2022
60482^338886+177159102015Stefano Morozzi12/2021
60492^338880+11341102014Stefano Morozzi03/2022
60502^338879-1059102013Stefano Morozzi12/2021
60512^338879-54525102013Stefano Morozzi02/2022
60522^338877-82813102013Stefano Morozzi03/2022
60532^338871+7679102011Stefano Morozzi02/2022
60542^338872+61141102011Stefano Morozzi03/2022
60552^338872-183923102011Stefano Morozzi04/2022
60562^338868-5985102010Stefano Morozzi02/2022
60572^338867+38079102010Stefano Morozzi05/2022
60582^338864+158191102009Stefano Morozzi02/2022
60592^338862+60433102008Stefano Morozzi03/2022
60602^338861-9453102008Stefano Morozzi04/2022
60612^338855+102141102006Stefano Morozzi12/2021
60622^338856-27173102006Stefano Morozzi12/2021
60632^338856-102839102006Stefano Morozzi01/2022
60642^338855+79629102006Stefano Morozzi01/2022
60652^338850+27987102005Stefano Morozzi01/2022
60662^338853+111791102005Stefano Morozzi04/2022
60672^338847+176013102004Stefano Morozzi12/2021
60682^338847-2365102004Stefano Morozzi12/2021
60692^338848+158941102004Stefano Morozzi03/2022
60702^338845+135831102003Stefano Morozzi03/2022
60712^338846+85695102003Stefano Morozzi03/2022
60722^338845+186525102003Stefano Morozzi04/2022
60732^338843-127261102002Stefano Morozzi12/2021
60742^338843+107205102002Stefano Morozzi02/2022
60752^338842-33185102002Stefano Morozzi04/2022
60762^338842+14227102002Stefano Morozzi05/2022
60788*10^102000+51102001Robert Price08/2019
60772^338838+150837102001Stefano Morozzi11/2021
60792^338835-150625102000Stefano Morozzi12/2021
60802^338834-32877102000Stefano Morozzi04/2022
6083(2^338832+642)/2101999Stefano Morozzi09/2020
60812^338833-100905101999Stefano Morozzi12/2021
60822^338831+54419101999Stefano Morozzi01/2022
60892^338829-113239101998Enzo Doria07/2014
60902^338828-113297101998Enzo Doria07/2014
60842^338830+25017101998Stefano Morozzi11/2021
60852^338831+321101998Stefano Morozzi11/2021
60862^338827-26197101998Stefano Morozzi12/2021
60872^338829+52727101998Stefano Morozzi01/2022
60882^338827-55461101998Stefano Morozzi02/2022
60912^338825-27453101997Stefano Morozzi12/2021
60922^338824+89355101997Stefano Morozzi05/2022
60932^338822+111175101996Stefano Morozzi03/2022
60942^338822+187819101996Stefano Morozzi04/2022
60952^338823+139545101996Stefano Morozzi05/2022
60962^338815+151175101994Stefano Morozzi12/2021
60972^338814-30011101994Stefano Morozzi02/2022
60982^338814+12309101994Stefano Morozzi04/2022
60992^338811-126999101993Stefano Morozzi12/2021
61002^338811+131621101993Stefano Morozzi02/2022
61012^338812-107637101993Stefano Morozzi03/2022
61022^338809-152755101992Stefano Morozzi01/2022
61032^338808+156531101992Stefano Morozzi01/2022
61042^338808+7885101992Stefano Morozzi02/2022
61052^338808-105797101992Stefano Morozzi02/2022
61062^338805+29879101991Stefano Morozzi01/2022
61072^338805+157925101991Stefano Morozzi02/2022
61082^338804-6809101991Stefano Morozzi03/2022
61092^338806-157095101991Stefano Morozzi03/2022
61102^338804-133173101991Stefano Morozzi04/2022
61112^338802+150403101990Stefano Morozzi11/2021
61122^338801+154587101990Stefano Morozzi01/2022
61132^338802-180603101990Stefano Morozzi02/2022
61142^338803-31921101990Stefano Morozzi03/2022
61152^338803-81735101990Stefano Morozzi03/2022
61162^338800+160141101989Stefano Morozzi03/2022
61172^338797-82489101989Stefano Morozzi03/2022
61222^338796+93101988Donovan Johnson06/2008
61182^338795+455101988Stefano Morozzi11/2021
61192^338795-102075101988Stefano Morozzi12/2021
61202^338794-3483101988Stefano Morozzi01/2022
61212^338796+179641101988Stefano Morozzi01/2022
61232^338793-5155101987Stefano Morozzi02/2022
61242^338793+111107101987Stefano Morozzi03/2022
61252^338791+112083101987Stefano Morozzi04/2022
61262^338787+53309101986Stefano Morozzi01/2022
61272^338787-153817101986Stefano Morozzi01/2022
61282^338789+56229101986Stefano Morozzi01/2022
61292^338790+6429101986Stefano Morozzi01/2022
61302^338788+131701101986Stefano Morozzi02/2022
61312^338785+104639101985Stefano Morozzi01/2022
61322^338784+37591101985Stefano Morozzi04/2022
61332^338786-9831101985Stefano Morozzi04/2022
61342^338783+109065101984Stefano Morozzi03/2022
61352^338779+86711101983Stefano Morozzi04/2022
61362^338778+113589101983Stefano Morozzi05/2022
61372^338775-30369101982Stefano Morozzi02/2022
61382^338774+159135101982Stefano Morozzi03/2022
61392^338776+113001101982Stefano Morozzi04/2022
61402^338768-181007101980Stefano Morozzi02/2022
61412^338768+108807101980Stefano Morozzi03/2022
61422^338764+138013101979Stefano Morozzi04/2022
6145lucasU(1373,1,32502)-lucasU(1373,1,32501)101978Mike Oakes05/2009
61432^338761+103671101978Stefano Morozzi01/2022
61442^338763-7651101978Stefano Morozzi03/2022
61462^338757-5151101977Stefano Morozzi02/2022
61472^338760-79037101977Stefano Morozzi02/2022
61482^338757-82143101977Stefano Morozzi03/2022
61492^338757+137007101977Stefano Morozzi04/2022
61502^338755+158531101976Stefano Morozzi03/2022
61512^338752-153353101975Stefano Morozzi01/2022
61522^338751+8001101975Stefano Morozzi02/2022
61532^338752+32977101975Stefano Morozzi02/2022
61542^338753-79233101975Stefano Morozzi02/2022
61552^338750-175625101974Stefano Morozzi12/2021
61562^338747-2731101974Stefano Morozzi12/2021
61572^338750-29597101974Stefano Morozzi02/2022
61582^338748+35095101974Stefano Morozzi03/2022
61592^338747+137475101974Stefano Morozzi04/2022
61602^338747+162005101974Stefano Morozzi04/2022
61612^338750+162237101974Stefano Morozzi04/2022
61622^338747-184365101974Stefano Morozzi04/2022
61632^338748+64341101974Stefano Morozzi05/2022
61642^338746+59577101973Stefano Morozzi03/2022
61652^338746+62055101973Stefano Morozzi04/2022
61662^338741+25359101972Stefano Morozzi12/2021
61672^338743+176981101972Stefano Morozzi12/2021
61682^338741+183029101972Stefano Morozzi02/2022
61692^338743-130309101972Stefano Morozzi02/2022
61702^338741+86349101972Stefano Morozzi04/2022
61712^338741+111561101972Stefano Morozzi04/2022
61722^338739+76959101971Stefano Morozzi12/2021
61732^338739-105957101971Stefano Morozzi02/2022
61742^338739+190149101971Stefano Morozzi05/2022
61752^338738+64947101971Stefano Morozzi05/2022
61762^338737+127547101970Stefano Morozzi12/2021
61772^338737+128591101970Stefano Morozzi01/2022
61782^338735-153165101970Stefano Morozzi01/2022
61792^338734+13719101970Stefano Morozzi05/2022
618425295^10744+10744^25295101969Hans Havermann01/2019
618525712^9243+9243^25712101969Hans Havermann01/2019
61802^338731-150895101969Stefano Morozzi12/2021
61812^338731+54911101969Stefano Morozzi01/2022
61822^338731+85863101969Stefano Morozzi03/2022
61832^338732+185047101969Stefano Morozzi03/2022
61862^338726+128199101967Stefano Morozzi01/2022
61872^338727+127745101967Stefano Morozzi01/2022
61882^338724+32971101967Stefano Morozzi02/2022
61892^338727+189683101967Stefano Morozzi05/2022
61902^338723-76651101966Stefano Morozzi12/2021
61912^338721+79037101966Stefano Morozzi01/2022
61922^338723-132621101966Stefano Morozzi03/2022
61932^338722+137313101966Stefano Morozzi04/2022
61942^338722+162915101966Stefano Morozzi04/2022
61952^338718-126861101965Stefano Morozzi12/2021
61962^338718-109127101965Stefano Morozzi04/2022
6199(71^55079-1)/70101964Paul Bourdelais08/2017
61972^338714+30835101964Stefano Morozzi01/2022
61982^338714+156715101964Stefano Morozzi02/2022
62002^338711+125399101963Stefano Morozzi12/2021
62012^338713-30895101963Stefano Morozzi02/2022
62022^338712-132545101963Stefano Morozzi03/2022
62032^338713+87825101963Stefano Morozzi04/2022
62042^338709-154429101962Stefano Morozzi02/2022
62052^338706-102917101961Stefano Morozzi01/2022
62062^338705+34727101961Stefano Morozzi03/2022
62072^338698+104083101959Stefano Morozzi01/2022
62082^338700-184565101959Stefano Morozzi04/2022
62092^338700+189777101959Stefano Morozzi05/2022
62102^338696+181671101958Stefano Morozzi02/2022
62112^338692+106297101957Stefano Morozzi01/2022
62122^338692+33195101957Stefano Morozzi02/2022
62132^338692+110505101957Stefano Morozzi03/2022
62142^338692+190093101957Stefano Morozzi05/2022
62152^338688+82203101956Stefano Morozzi02/2022
62162^338689+82365101956Stefano Morozzi02/2022
62172^338686-81303101955Stefano Morozzi03/2022
62222^338682-19865101954Enzo Doria06/2013
6223(2^(112895*3+1)+243)/7101954Kevin Acres12/2013
6218(8*10^101954-269)/9101954Robert Price09/2021
62192^338683+50303101954Stefano Morozzi11/2021
62202^338682-107205101954Stefano Morozzi03/2022
62212^338682+13839101954Stefano Morozzi05/2022
62242^338678-180005101953Stefano Morozzi02/2022
62252^338674-175967101952Stefano Morozzi12/2021
62262^338677-177373101952Stefano Morozzi12/2021
62272^338677+102999101952Stefano Morozzi01/2022
62282^338676+33381101952Stefano Morozzi03/2022
62292^338677-82699101952Stefano Morozzi03/2022
62302^338676-34299101952Stefano Morozzi04/2022
62312^338675+188445101952Stefano Morozzi05/2022
62322^338671-55041101951Stefano Morozzi02/2022
62332^338673-80203101951Stefano Morozzi02/2022
62342^338672-182063101951Stefano Morozzi03/2022
62352^338672+36667101951Stefano Morozzi04/2022
62362^338668+2583101950Stefano Morozzi12/2021
62372^338670-157001101950Stefano Morozzi03/2022
62382^338669-8353101950Stefano Morozzi04/2022
6245(2^338666+3154)/2101949Stefano Morozzi09/2020
62392^338665+1577101949Stefano Morozzi12/2021
62402^338665-51133101949Stefano Morozzi12/2021
62412^338664+4345101949Stefano Morozzi01/2022
62422^338666-128943101949Stefano Morozzi01/2022
62432^338664+131535101949Stefano Morozzi01/2022
62442^338667+14943101949Stefano Morozzi05/2022
62462^338662+31587101948Stefano Morozzi02/2022
62472^338663-58375101948Stefano Morozzi04/2022
62482^338663-107869101948Stefano Morozzi04/2022
62492^338658-159191101947Stefano Morozzi04/2022
62502^338659-159687101947Stefano Morozzi04/2022


Find by discoverer :


Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: June, 23 2022 21:24 (Time in France)

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