PRP Records

Probable Primes Top 10000

(301745 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 ?
5012^1627834+225529490027Enzo Doria08/2024
5022^1626709+30407489689Enzo Doria07/2024
5032^1626438+38557489607Enzo Doria11/2024
5042^1621040+39415487982Enzo Doria11/2024
5052^1619885+28229487634Enzo Doria04/2024
50610^487291+7487292Alfred Reich06/2021
5072^1617677+227927486970Enzo Doria10/2024
5082^1617579+1889543486940Enzo Doria09/2017
50997481^97481-70^70486325Henri Lifchitz10/2024
5102^1613632+215011485752Enzo Doria11/2023
5112^1612600+27331485441Enzo Doria03/2024
5122^1610146+24739484703Enzo Doria11/2023
5132^1609360+43711484466Enzo Doria03/2025
514L(2316773)484177Serge Batalov06/2017
515(57^275669-1)/56484039Paul Bourdelais04/2021
5162^1602171+40943482302Enzo Doria01/2025
5172^1601964+215491482240Enzo Doria11/2023
51810^482076+9482077Boyan Hu06/2025
51996672^96672-1825^1825481939Henri Lifchitz12/2024
5202^1600308+34051481741Enzo Doria09/2024
5212^1599674+43909481550Enzo Doria04/2025
5222^1599624+20011481535Enzo Doria07/2023
5232^1599238+234559481419Enzo Doria04/2025
5242^1599205+27047481409Enzo Doria03/2024
5252^1599120-5481384Stefano Morozzi12/2022
52610^480684-3480684Paul Bourdelais01/2021
5272^1595483+184133480289Enzo Doria07/2017
5282^1594947+3480127Paul Bourdelais07/2019
5292^1594420+36781479969Enzo Doria10/2024
5302^1594135+225893479883Enzo Doria10/2024
5312^1594129+22697479881Enzo Doria11/2023
5322^1593922+213289479819Enzo Doria10/2023
5332^1592677+228257479444Enzo Doria11/2024
5342^1592625+234041479428Enzo Doria04/2025
5352^1592234+26809479311Enzo Doria03/2024
5362^1590797+34967478878Enzo Doria10/2024
537(94^241993-1)/93477482Paul Bourdelais09/2020
5382^1585195+1888373477192Enzo Doria08/2017
5392^1585021+43427477139Enzo Doria03/2025
540(33^313553+1)/34476134Paul Bourdelais02/2021
5412^1581306+220309476021Enzo Doria03/2024
5422^1578654+215029475223Enzo Doria01/2024
543(84615^96721-1)/(84615^311-1)475056Ryan Propper11/2023
5443^994536+16474515Robert Price10/2020
5452^1576219+233663474490Enzo Doria03/2025
5462^1575391+71483474240Enzo Doria04/2018
547(2^1572882+5)/3473485Serge Batalov08/2015
5482^1572728+45421473439Enzo Doria07/2025
549(6^608099-1)/5473193Paul Bourdelais05/2010
5502^1570431+41183472747Enzo Doria02/2025
5512^1569708+20371472530Enzo Doria09/2023
5522^1569375+29153472429Enzo Doria05/2024
5533^989124+16471933Robert Price10/2020
5542^1567006+1888099471716Enzo Doria05/2017
555-E(107194)/47471629Serge Batalov07/2025
5562^1564510+45709470965Enzo Doria06/2025
5572^1563462+39919470649Enzo Doria12/2024
5582^1563067+1889813470531Enzo Doria08/2017
5592^1562428+215851470338Enzo Doria02/2024
5602^1557036+226321468715Enzo Doria09/2024
5612^1556730+222829468623Enzo Doria07/2024
5622^1554175+228353467854Enzo Doria12/2024
5632^1551415+215813467023Enzo Doria02/2024
5642^1551411+212933467022Enzo Doria09/2023
5652^1550887+36743466864Enzo Doria11/2024
5662^1549797+60197466536Enzo Doria02/2018
5672^1549030+1887619466305Enzo Doria05/2017
5682^1545920+41467465369Enzo Doria02/2025
5692^1544971+43403465083Enzo Doria03/2025
570416^177481-415^177481464840Jean-Louis Charton12/2016
5712^1541374+226729464000Enzo Doria09/2024
572(78^245183-1)/77463908Paul Bourdelais02/2021
57393331^93331-90^90463858Henri Lifchitz10/2024
5742^1540117+31907463622Enzo Doria04/2024
5752^1538959-25463273Boyan Hu01/2025
5762^1537058+29839462701Enzo Doria07/2024
5772^1534770+20809462012Enzo Doria08/2023
5782^1531286+24799460964Enzo Doria11/2023
5792^1530725+38267460795Enzo Doria10/2024
5802^1530380+38011460691Enzo Doria11/2024
5812^1527857+225269459931Enzo Doria11/2024
58210^459480-11459480Mischa Rodermond04/2023
5832^1526274+44629459455Enzo Doria05/2025
584(5^656657-2^656657)/3458984Jon Grantham08/2023
5852^1522569+71657458339Enzo Doria04/2018
5862^1520990+35257457864Enzo Doria10/2024
5872^1520920+38251457843Enzo Doria11/2024
588(55814^96721-1)/(55814^311-1)457634Ryan Propper11/2023
5892^1518191+75353457022Ben Maloney / Five or Bust01/2009
5902^1513244+44641455532Enzo Doria04/2025
5912^1512733+227027455379Enzo Doria10/2024
5922^1510915+223463454831Enzo Doria06/2024
5936^584279-5454658Paul Bourdelais02/2021
5942^1509037-13454266Stefano Morozzi12/2022
595(52^264697-1)/51454220Paul Bourdelais10/2021
5962^1507169+29027453704Enzo Doria05/2024
5972^1506029+1890167453360Enzo Doria02/2018
5982^1504232+26101452819Enzo Doria01/2024
599-E(103274)/8318971452706Serge Batalov07/2025
6002^1501670+41629452048Enzo Doria02/2025
6012^1498015+219113450948Enzo Doria03/2024
6022^1497532+220471450803Enzo Doria04/2024
6032^1497523+230873450800Enzo Doria01/2025
6042^1497369+216977450753Enzo Doria01/2024
605(34^294277+1)/35450678Paul Bourdelais06/2018
6062^1496854+232399450598Enzo Doria02/2025
6072^1496449+42587450477Enzo Doria02/2025
6082^1495434+1890439450171Enzo Doria12/2017
6092^1495078+227779450064Enzo Doria10/2024
6102^1494634+7449930Stefano Morozzi10/2022
6112^1493170+784129449489Enzo Doria08/2017
6122^1490332-229043448635Enzo Doria01/2025
6132^1489873+1888277448497Enzo Doria06/2017
6142^1487389+32417447749Enzo Doria06/2024
6152^1486846+36019447586Enzo Doria11/2024
6162^1485471+224789447172Enzo Doria09/2024
6172^1485203+71663447091Enzo Doria09/2023
6182^1484671+1888463446931Enzo Doria06/2017
6192^1483112+23961446462Enzo Doria12/2023
6202^1482867+1886783446388Enzo Doria04/2017
6212^1482148+284011446172Enzo Doria04/2017
6222^1481363+215843445935Enzo Doria12/2023
6232^1480415+217643445650Enzo Doria02/2024
6242^1480400+225013445645Enzo Doria10/2024
6252^1479356+1888291445331Enzo Doria06/2017
626(157742^85849-1)/(157742^293-1)444716Ryan Propper11/2023
6272^1476810+23299444565Enzo Doria12/2023
6282^1474222+38569443786Enzo Doria11/2024
6292^1474189+36557443776Enzo Doria11/2024
6302^1473184+212671443473Enzo Doria09/2023
6312^1472225+37997443184Enzo Doria10/2024
6322^1467760+235441441840Enzo Doria05/2025
6332^1466458+235399441448Enzo Doria06/2025
6342^1466432+20371441441Enzo Doria08/2023
63514^384558+3440753Paul Bourdelais01/2021
6362^1463913+219047440682Enzo Doria04/2024
6372^1461244+784531439879Enzo Doria10/2017
6382^1461058+34429439823Enzo Doria08/2024
6392^1460142+233959439547Enzo Doria03/2025
6402^1459599+215813439384Enzo Doria01/2024
6412^1457449+25757438736Enzo Doria12/2023
6422^1457045+231317438615Enzo Doria01/2025
6433^919094+5*2^919094438520Jon Grantham08/2023
6442^1456277+28229438384Enzo Doria03/2024
6452^1455129+218027438038Enzo Doria01/2024
6462^1454061+216977437716Enzo Doria01/2024
6472^1453419+26783437523Enzo Doria01/2024
648(67^239053+1)/68436527Paul Bourdelais09/2021
6492^1448714+231559436107Enzo Doria02/2025
6502^1448122+74209435929Enzo Doria08/2023
6512^1446449+221087435425Enzo Doria05/2024
6522^1446263+74333435369Enzo Doria08/2023
6532^1444386+221029434804Enzo Doria03/2024
654(80^228419+1)/81434701Paul Bourdelais02/2021
6552^1443089+60227434414Enzo Doria10/2017
656(21^328129-1)/20433858Paul Bourdelais06/2014
657(35^280979+1)/36433850Paul Bourdelais09/2021
6582^1438663+214175433081Enzo Doria11/2023
6592^1434519+215813431834Enzo Doria01/2024
6602^1434400+3431798Paul Bourdelais06/2019
6612^1434298+31669431767Enzo Doria08/2024
6622^1434097+215207431707Enzo Doria11/2023
6632^1433033+212987431386Enzo Doria10/2023
6642^1432308+1888801431168Enzo Doria10/2017
665(2^1430131+1)/(3*356468732537*36519993971459)430487Gord Palameta12/2018
6662^1429978+233839430467Enzo Doria04/2025
667(7^508867-2^508867)/5430042Jon Grantham08/2023
6682^1428489+25097430019Enzo Doria11/2023
6692^1425483+1886813429114Enzo Doria04/2017
670(63^238481+1)/64429107Paul Bourdelais12/2020
671(17^348259+1)/18428514Paul Bourdelais05/2014
6722^1422688+24391428272Enzo Doria12/2023
6732^1422654+226249428262Enzo Doria09/2024
6742^1421514+2351163427919Enzo Doria05/2025
675(10^427912+89)/9427912Serge Batalov12/2014
6762^1421311+40613427858Enzo Doria01/2025
6772^1421089+1890167427791Enzo Doria09/2017
6782^1420902+221149427735Enzo Doria05/2024
6792^1418388+25771426978Enzo Doria12/2023
6802^1416724+214981426477Enzo Doria11/2023
681(96228^85849-1)/(96228^293-1)426352Ryan Propper11/2023
6822^1414012+36991425661Enzo Doria09/2024
6832^1413721+225269425573Enzo Doria10/2024
6842^1412006+233899425057Enzo Doria04/2025
68520^326600+3424917Paul Bourdelais01/2021
6862^1411443+228023424887Enzo Doria11/2024
687(10^424861-7)/3424861Leonid Durman01/2012
68810^424821-11424821Mischa Rodermond04/2023
689(2^1411200+13)/7424813Stefano Morozzi09/2022
6902^1411117+35927424789Enzo Doria09/2024
6912^1410894+219859424722Enzo Doria03/2024
6922^1410310+30409424546Enzo Doria05/2024
6932^1410233+218447424523Enzo Doria03/2024
6942^1408457+232007423988Enzo Doria02/2025
6952^1407208+45751423612Enzo Doria06/2025
6962^1405715-1405715^2423163Henri Lifchitz03/2025
6971+3^605376+5^605376423140Jon Grantham08/2023
6982^1405367+213413423058Enzo Doria10/2023
6992^1404213+184217422711Enzo Doria09/2017
7002^1403156+40921422393Enzo Doria02/2025
7012^1401872+1884385422006Enzo Doria04/2017
7022^1401257+6077421821Enzo Doria09/2017
7032^1400648+44881421638Enzo Doria05/2025
704138^196873-137^196873421285Jean-Louis Charton12/2009
7052^1398726+7421059Stefano Morozzi10/2022
7062^1398269+131595420921Makoto Morimoto10/2013
7072^1398238+227119420912Enzo Doria10/2024
7082^1398062+40639420859Enzo Doria01/2025
7092^1398016+229357420845Enzo Doria02/2025
7102^1397089-1397089420566Henri Lifchitz10/2024
7112^1397071+684443420561Enzo Doria07/2017
712953^141023-952^141023420121Jean-Louis Charton10/2016
7132^1393449+45197419470Enzo Doria05/2025
7142^1393111+1867211419369Enzo Doria09/2023
7152^1392384+44371419150Enzo Doria03/2025
7162^1391771+36623418965Enzo Doria09/2024
717(3^877843-1)/2418838Paul Bourdelais07/2010
7182^1389628+28651418320Enzo Doria03/2024
7192^1389064+45751418150Enzo Doria06/2025
7202^1386321+60299417325Enzo Doria02/2018
7212^1386320+184531417324Enzo Doria09/2017
7222^1382074+1883587416046Enzo Doria01/2017
7232^1380651+215843415618Enzo Doria12/2023
7242^1380634+40639415613Enzo Doria01/2025
7252^1379907+1885223415394Enzo Doria03/2017
7262^1379792+45421415359Enzo Doria06/2025
7272^1379111+29693415154Enzo Doria05/2024
7282^1377927+45083414798Enzo Doria06/2025
7292^1377501+46427414670Enzo Doria07/2025
7302^1376707+25763414431Enzo Doria12/2023
7312^1375751+24443414143Enzo Doria12/2023
7322^1375574+1886719414090Enzo Doria04/2017
7332^1373958+42649413603Enzo Doria02/2025
7342^1373111+1884833413348Enzo Doria02/2017
7352^1372996+15413313Stefano Morozzi10/2022
7362^1372515+32393413169Enzo Doria05/2024
7372^1372092+228751413041Enzo Doria11/2024
7382^1372033+238427413024Enzo Doria07/2025
7392^1370877+38747412676Enzo Doria11/2024
7402^1369291+40943412198Enzo Doria02/2025
7412^1369207+36833412173Enzo Doria10/2024
7422^1369171+216593412162Enzo Doria01/2024
7432^1368632+1889731412000Enzo Doria10/2017
744(65245^85849-1)/(65245^293-1)411914Ryan Propper11/2023
745(89*10^411590+1)/9411591Serge Batalov09/2014
746F(1968721)411439Henri Lifchitz11/2009
7472^1366066+683749411227Enzo Doria02/2017
7482^1365324+233341411004Enzo Doria03/2025
7492^1365077+228257410930Enzo Doria11/2024
7502^1364401+217727410726Enzo Doria02/2024


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: July, 15 2025 20:38 (Time in France)

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