PRP Records

Probable Primes Top 10000

(277054 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 ?
625110^90960-61065990960Patrick De Geest07/2019
625210^90959-27521390959Patrick De Geest07/2019
6253(2^302129+3110)/290950Stefano Morozzi09/2020
625510^90948+986790949Patrick De Geest01/2019
625421665^15774+15774^2166590949Hans Havermann04/2020
625610^90948-10923990948Patrick De Geest07/2019
62572^302113+7410590946Enzo Doria04/2016
62582^302102-655590942Lelio R Paula02/2016
625910^90930+9522390931Patrick De Geest07/2019
626010^90930-362390930Patrick De Geest01/2019
6261156*(10^(4*22731)-1)/101-190925Robert Price05/2014
62623^190568+3890925Lelio R Paula04/2016
626310^90917+17986390918Patrick De Geest07/2019
626410^90917-669390917Patrick De Geest01/2019
62652^302009-1644990914Enzo Doria04/2013
626610^90908+318190909Patrick De Geest01/2019
626710^90908-13951190908Patrick De Geest07/2019
626810^90904+10694790905Patrick De Geest07/2019
626910^90904-516990904Patrick De Geest01/2019
627010^90903+12096390904Patrick De Geest07/2019
627110^90902+261390903Patrick De Geest01/2019
627210^90903-19073790903Patrick De Geest07/2019
627325174^4083+4083^2517490903Hans Havermann08/2020
627410^90902-95232990902Patrick De Geest07/2019
6275(17*2^301951-1)/16590896Lelio R Paula02/2014
62763^190497+7490891Lelio R Paula04/2016
6277(24737*2^301896+1)/39990882Lelio R Paula06/2014
627810^90880+570790881Patrick De Geest01/2019
627910^90880-15299390880Patrick De Geest07/2019
628018^72397+8990878Lelio R Paula06/2016
6281(2^301876+762)/290874Stefano Morozzi09/2020
6282134^42719-13390868Norbert Schneider03/2019
62836^116769-4790864Lelio R Paula05/2016
628410^90858+23343390859Patrick De Geest07/2019
628510^90858-830190858Patrick De Geest01/2019
628624298^5483+5483^2429890851Hans Havermann08/2020
628710^90849+4014190850Patrick De Geest07/2019
628810^90849-472190849Patrick De Geest01/2019
62892^301712-46590825Lelio R Paula02/2016
62902^301693-6990819Lelio R Paula11/2012
62912^301683-301683^290816Henri Lifchitz05/2005
629210^90807+727990808Patrick De Geest01/2019
629310^90807-16226390807Patrick De Geest07/2019
62946*10^90803+7990804Robert Price09/2020
629510^90800-645390800Patrick De Geest11/2018
629611^87187-171090796Enzo Doria12/2012
62975*10^90793+2190794Robert Price01/2017
6298(22*10^90792-13)/990793Robert Price03/2015
62992^301591-161590788Lelio R Paula02/2016
6300(52^52901+1)/5390777Paul Bourdelais08/2017
63012^301546-10903790775Enzo Doria04/2014
630210^90772+402990773Patrick De Geest11/2018
630310^90772-3662790772Patrick De Geest07/2019
630410^90771+6773790772Patrick De Geest07/2019
630510^90771-44100390771Patrick De Geest07/2019
630610^90770+2894190771Patrick De Geest07/2019
630710^90770-43190770Patrick De Geest11/2018
630814^79195-390768Lelio R Paula06/2016
630910^90766+87790767Patrick De Geest11/2018
63122^301517-186169390766Enzo Doria11/2015
631010^90766-10924190766Patrick De Geest07/2019
631110^90765+48536190766Patrick De Geest07/2019
631310^90765-479790765Patrick De Geest11/2018
631410^90757+757390758Patrick De Geest11/2018
631510^90757-55497990757Patrick De Geest07/2019
631610^90756+43810990757Patrick De Geest07/2019
631710^90756-872790756Patrick De Geest11/2018
631810^90749+82390750Patrick De Geest11/2018
63212^301460-17390749Lelio R Paula11/2012
631910^90748+421390749Patrick De Geest11/2018
632010^90749-13041390749Patrick De Geest07/2019
632210^90748-7541190748Patrick De Geest07/2019
632310^90747+43847190748Patrick De Geest07/2019
632410^90747-927990747Patrick De Geest11/2018
6325(85*10^90745-103)/990746Robert Price10/2017
6326(2^301439+1206)/290742Stefano Morozzi09/2020
632710^90726+407790727Patrick De Geest11/2018
632810^90726-50495190726Patrick De Geest07/2019
632910^90721+18190722Patrick De Geest11/2018
6330(2^301372+2722)/290722Stefano Morozzi09/2020
633110^90721-17714990721Patrick De Geest07/2019
6332(2^301317+1146)/290706Stefano Morozzi09/2020
63332^301312-8990704Lelio R Paula11/2012
633410^90696+634990697Patrick De Geest11/2018
63362^301285-12990696Lelio R Paula11/2012
633510^90696-63504990696Patrick De Geest07/2019
63372^301282-10999190695Enzo Doria04/2014
633810^90690+887790691Patrick De Geest11/2018
633910^90690-22743390690Patrick De Geest07/2019
634010^90683+6141190684Patrick De Geest07/2019
6341(2^301244+1738)/290684Stefano Morozzi09/2020
634210^90683-257790683Patrick De Geest11/2018
63432^301228-185426990679Enzo Doria09/2015
6345(151*10^90669-1)/390671Robert Price04/2017
6344(2^301201+2046)/290671Stefano Morozzi09/2020
6346(32*10^90669+13)/990670Robert Price04/2015
634710^90669+979390670Patrick De Geest11/2018
634810^90669-22393190669Patrick De Geest07/2019
6349(2^301191+2510)/290668Stefano Morozzi09/2020
635010^90665+1098990666Patrick De Geest07/2019
635110^90665-308790665Patrick De Geest11/2018
635210^90662+8963790663Patrick De Geest07/2019
635310^90662-951990662Patrick De Geest11/2018
635410^90661+237390662Patrick De Geest11/2018
635510^90661-19478190661Patrick De Geest07/2019
63563*5^129698+890656Lelio R Paula10/2014
6357F(433781)90655Henri Lifchitz09/2003
635819^70891+8290653Lelio R Paula06/2016
6359(29*2^301124-1)/1390648Lelio R Paula02/2014
636010^90636+6415990637Patrick De Geest07/2019
636110^90636-310190636Patrick De Geest11/2018
63627*3^189953-890632Lelio R Paula08/2014
636310^90626+33928990627Patrick De Geest07/2019
636410^90626-113190626Patrick De Geest11/2018
636511^87022-180090625Enzo Doria12/2012
636610^90623+86190624Patrick De Geest11/2018
636710^90623-30584190623Patrick De Geest07/2019
6368(2^301042+47)/1203696990616Lelio R Paula06/2013
63702^301004-278693990612Enzo Doria03/2016
636910^90611+16997790612Patrick De Geest07/2019
637110^90611-973790611Patrick De Geest11/2018
637210^90610+3674790611Patrick De Geest07/2019
637410^90609+682390610Patrick De Geest11/2018
637310^90610-2657390610Patrick De Geest07/2019
637510^90609-22817390609Patrick De Geest07/2019
63762^300980-2790605Lelio R Paula11/2012
63772*10^90597-790598Dmitry Domanov11/2010
6378197^39485+290597Lelio R Paula06/2013
63797^107198+4890593Lelio R Paula04/2016
6380(86*10^90588+121)/990589Robert Price03/2017
63812^300923+5390587Lelio R Paula11/2012
63822^300874+790573Lelio R Paula10/2012
638310^90567+948990568Patrick De Geest11/2018
638410^90567-23135390567Patrick De Geest07/2019
6385(2^300857+2214)/290567Stefano Morozzi01/2020
63865^129568-5690565Lelio R Paula04/2016
63872^300847-11283190564Enzo Doria06/2014
638810^90562+79019790563Patrick De Geest07/2019
638910^90562-298190562Patrick De Geest11/2018
6390(7796^23269-1)/779590557Serge Batalov08/2020
639110^90549+381190550Patrick De Geest11/2018
639210^90549-63030390549Patrick De Geest07/2019
63932^300790-454190547Yves Minet03/2019
639410^90532+816990533Patrick De Geest11/2018
639510^90531+983190532Patrick De Geest11/2018
639610^90532-15488990532Patrick De Geest07/2019
639710^90531-106058990531Patrick De Geest07/2019
63992^300718+25525590526Lelio R Paula02/2016
6398(2^300719+938)/290526Stefano Morozzi01/2020
640010^90516+21591790517Patrick De Geest07/2019
640110^90516-678390516Patrick De Geest11/2018
640210^90511+3017790512Patrick De Geest07/2019
640310^90511-697790511Patrick De Geest11/2018
6404(8573^23011-1)/857290502Serge Batalov08/2020
64052^300637+9590501Lelio R Paula11/2012
64077^107087-2490500Lelio R Paula04/2016
640610^90499+19154790500Patrick De Geest07/2019
640810^90499-582390499Patrick De Geest11/2018
6410(10^90499+3^90499)/1390498Robert Price01/2013
640913^81241+9090498Lelio R Paula06/2016
6411(2^300600+1222)/290490Stefano Morozzi01/2020
641210^90480+513190481Patrick De Geest11/2018
641310^90480-8572190480Patrick De Geest07/2019
64146^116273-8590478Lelio R Paula05/2016
641510^90473+313990474Patrick De Geest11/2018
641610^90473-15059990473Patrick De Geest07/2019
641710^90470+231990471Patrick De Geest11/2018
641810^90470-7163790470Patrick De Geest07/2019
64196^116256-1757390465Enzo Doria02/2013
64202^300502+5461590461Lelio R Paula02/2016
6421(13*2^300487+1)/4590456Lelio R Paula09/2013
642210^90453+14184390454Patrick De Geest07/2019
642310^90453-396990453Patrick De Geest11/2018
642410^90440+135990441Patrick De Geest11/2018
642510^90440-1882190440Patrick De Geest07/2019
6426(3^189545-8)/590436Lelio R Paula01/2013
6427(7*2^300406-1)/390432Lelio R Paula02/2014
642810^90430+333990431Patrick De Geest11/2018
642910^90430-6347790430Patrick De Geest07/2019
6430(5408^24223-1)/540790422Serge Batalov08/2020
643110^90414+22959390415Patrick De Geest07/2019
643210^90414-154790414Patrick De Geest11/2018
643310^90404+4704190405Patrick De Geest07/2019
643410^90404-642990404Patrick De Geest11/2018
643510^90401+207790402Patrick De Geest11/2018
643710^90401-36863790401Patrick De Geest07/2019
643624900^4271+4271^2490090401Hans Havermann08/2020
64384*5^129332+390400Lelio R Paula10/2014
643910^90397+1978390398Patrick De Geest07/2019
644023380^7353+7353^2338090398Hans Havermann08/2020
644210^90397-32390397Patrick De Geest11/2018
6441(2^300293+2762)/290397Stefano Morozzi01/2020
644324058^5719+5719^2405890394Hans Havermann08/2020
64442^300249-1624590384Enzo Doria04/2013
644524414^5035+5035^2441490381Hans Havermann08/2020
6446(7*10^90371-313)/990371Robert Price11/2016
644710^90363+5867790364Patrick De Geest07/2019
644810^90363-355790363Patrick De Geest11/2018
644910^90358+10464190359Patrick De Geest07/2019
64522*6^116118+790358Lelio R Paula10/2014
645110^90358-497990358Patrick De Geest11/2018
645010^90357+11283790358Patrick De Geest07/2019
645310^90357-18959390357Patrick De Geest07/2019
645410^90356+5311390357Patrick De Geest07/2019
645510^90356-719790356Patrick De Geest11/2018
645610^90353+60321190354Patrick De Geest07/2019
645710^90353-108990353Patrick De Geest11/2018
6458(24737*2^300101+1)/2590343Lelio R Paula06/2014
64594*10^90334-2190335Robert Price04/2016
6460(4546^24697-1)/454590329Serge Batalov08/2020
646110^90322+13769190323Patrick De Geest07/2019
646210^90322-955190322Patrick De Geest11/2018
646310^90316+999190317Patrick De Geest11/2018
6464(4550^24691-1)/454990317Serge Batalov08/2020
646510^90316-4562790316Patrick De Geest07/2019
646610^90315+3288990316Patrick De Geest07/2019
64682^300019-11033590315Enzo Doria05/2014
646710^90315-856190315Patrick De Geest11/2018
6469FAB2(300001,5032)90310Robert Price05/2019
6470FAB2(300001,29405)90310Robert Price05/2019
6471(2^299965+2774)/290299Stefano Morozzi01/2020
647223679^6506+6506^2367990296Hans Havermann08/2020
64732^299949-100590294Lelio R Paula11/2013
6474(2^299947+2054)/290293Stefano Morozzi01/2020
647521740^14229+14229^2174090291Hans Havermann08/2020
647610^90279+6245790280Patrick De Geest07/2019
647710^90279-155190279Patrick De Geest09/2018
6478(2^299892+1986)/290277Stefano Morozzi01/2020
6479(2^299893+3866)/290277Stefano Morozzi01/2020
64802^299868-10961390270Enzo Doria04/2014
648110^90259+35929990260Patrick De Geest07/2019
648210^90259-944390259Patrick De Geest09/2018
6483(2^299831+3786)/290258Stefano Morozzi01/2020
648410^90252+10287390253Patrick De Geest07/2019
648510^90252-810390252Patrick De Geest09/2018
64875*2^299799-390250Lelio R Paula08/2014
6486(2^299803+3326)/290250Stefano Morozzi01/2020
648813^81008-290239Lelio R Paula09/2013
648980697!4-25690234Robert Price11/2019
649164^49957-63^4995790232Robert Price07/2013
6490(2^299745+2994)/290232Stefano Morozzi01/2020
649210^90227+5628190228Patrick De Geest06/2016
64952^299725+31590227Lelio R Paula11/2013
649310^90227-100000000190227Robert Price05/2016
649410^90227-6876390227Patrick De Geest06/2016
64965^129082+4890225Lelio R Paula03/2016
64972^299699+19590219Lelio R Paula10/2012
6498(55*10^90211-1)/990212Ray Chandler02/2012
649922131^11918+11918^2213190211Hans Havermann08/2020
650010^90209+897190210Patrick De Geest09/2018


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: January, 25 2021 11:23 (Time in France)

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