PRP Records

Probable Primes Top 10000

(288949 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 ?
77512^302188+9019590968Lelio R Paula02/2016
7752(53*10^90965-71)/990966Robert Price09/2015
775310^90965+57398790966Patrick De Geest07/2019
775410^90965-683390965Patrick De Geest01/2019
775510^90964+4878990965Patrick De Geest07/2019
775610^90964-5210390964Patrick De Geest07/2019
775710^90963+19188990964Patrick De Geest07/2019
775810^90963-365990963Patrick De Geest01/2019
775910^90962+765790963Patrick De Geest01/2019
776010^90962-21563390962Patrick De Geest07/2019
776110^90961+6747190962Patrick De Geest07/2019
776210^90961-21104390961Patrick De Geest07/2019
776310^90960+107211790961Patrick De Geest07/2019
776410^90959+879190960Patrick De Geest01/2019
776510^90960-61065990960Patrick De Geest07/2019
776610^90959-27521390959Patrick De Geest07/2019
7767(2^302129+3110)/290950Stefano Morozzi09/2020
776910^90948+986790949Patrick De Geest01/2019
776821665^15774+15774^2166590949Hans Havermann04/2020
777010^90948-10923990948Patrick De Geest07/2019
77712^302113+7410590946Enzo Doria04/2016
77722^302102-655590942Lelio R Paula02/2016
777310^90930+9522390931Patrick De Geest07/2019
777410^90930-362390930Patrick De Geest01/2019
7775156*(10^(4*22731)-1)/101-190925Robert Price05/2014
77763^190568+3890925Lelio R Paula04/2016
777710^90917+17986390918Patrick De Geest07/2019
777810^90917-669390917Patrick De Geest01/2019
77792^302009-1644990914Enzo Doria04/2013
778010^90908+318190909Patrick De Geest01/2019
778110^90908-13951190908Patrick De Geest07/2019
778210^90904+10694790905Patrick De Geest07/2019
778310^90904-516990904Patrick De Geest01/2019
778410^90903+12096390904Patrick De Geest07/2019
778510^90902+261390903Patrick De Geest01/2019
778610^90903-19073790903Patrick De Geest07/2019
778725174^4083+4083^2517490903Hans Havermann08/2020
778810^90902-95232990902Patrick De Geest07/2019
7789(17*2^301951-1)/16590896Lelio R Paula02/2014
77903^190497+7490891Lelio R Paula04/2016
7791(24737*2^301896+1)/39990882Lelio R Paula06/2014
779210^90880+570790881Patrick De Geest01/2019
779310^90880-15299390880Patrick De Geest07/2019
779418^72397+8990878Lelio R Paula06/2016
7795(2^301876+762)/290874Stefano Morozzi09/2020
7796134^42719-13390868Norbert Schneider03/2019
77976^116769-4790864Lelio R Paula05/2016
779810^90858+23343390859Patrick De Geest07/2019
779910^90858-830190858Patrick De Geest01/2019
780024298^5483+5483^2429890851Hans Havermann08/2020
780110^90849+4014190850Patrick De Geest07/2019
780210^90849-472190849Patrick De Geest01/2019
78032^301712-46590825Lelio R Paula02/2016
78042^301693-6990819Lelio R Paula11/2012
78052^301683-301683^290816Henri Lifchitz05/2005
780610^90807+727990808Patrick De Geest01/2019
780710^90807-16226390807Patrick De Geest07/2019
78086*10^90803+7990804Robert Price09/2020
780910^90800-645390800Patrick De Geest11/2018
781011^87187-171090796Enzo Doria12/2012
78115*10^90793+2190794Robert Price01/2017
7812(22*10^90792-13)/990793Robert Price03/2015
78132^301591-161590788Lelio R Paula02/2016
7814(52^52901+1)/5390777Paul Bourdelais08/2017
78152^301546-10903790775Enzo Doria04/2014
781610^90772+402990773Patrick De Geest11/2018
781710^90772-3662790772Patrick De Geest07/2019
781810^90771+6773790772Patrick De Geest07/2019
781910^90771-44100390771Patrick De Geest07/2019
782010^90770+2894190771Patrick De Geest07/2019
782110^90770-43190770Patrick De Geest11/2018
782214^79195-390768Lelio R Paula06/2016
782310^90766+87790767Patrick De Geest11/2018
78242^301517-186169390766Enzo Doria11/2015
782510^90766-10924190766Patrick De Geest07/2019
782610^90765+48536190766Patrick De Geest07/2019
782710^90765-479790765Patrick De Geest11/2018
782810^90757+757390758Patrick De Geest11/2018
782910^90757-55497990757Patrick De Geest07/2019
783010^90756+43810990757Patrick De Geest07/2019
783110^90756-872790756Patrick De Geest11/2018
783210^90749+82390750Patrick De Geest11/2018
78352^301460-17390749Lelio R Paula11/2012
783310^90748+421390749Patrick De Geest11/2018
783410^90749-13041390749Patrick De Geest07/2019
783610^90748-7541190748Patrick De Geest07/2019
783710^90747+43847190748Patrick De Geest07/2019
783810^90747-927990747Patrick De Geest11/2018
7839(85*10^90745-103)/990746Robert Price10/2017
7840(2^301439+1206)/290742Stefano Morozzi09/2020
784110^90726+407790727Patrick De Geest11/2018
784210^90726-50495190726Patrick De Geest07/2019
784410^90721+18190722Patrick De Geest11/2018
7843(2^301372+2722)/290722Stefano Morozzi09/2020
784510^90721-17714990721Patrick De Geest07/2019
7846(2^301317+1146)/290706Stefano Morozzi09/2020
78472^301312-8990704Lelio R Paula11/2012
784810^90696+634990697Patrick De Geest11/2018
78492^301285-12990696Lelio R Paula11/2012
785010^90696-63504990696Patrick De Geest07/2019
78512^301282-10999190695Enzo Doria04/2014
785210^90690+887790691Patrick De Geest11/2018
785310^90690-22743390690Patrick De Geest07/2019
785410^90683+6141190684Patrick De Geest07/2019
7855(2^301244+1738)/290684Stefano Morozzi09/2020
785610^90683-257790683Patrick De Geest11/2018
78572^301228-185426990679Enzo Doria09/2015
785810^90674-500000190674Robert Price12/2021
7860(151*10^90669-1)/390671Robert Price04/2017
7859(2^301201+2046)/290671Stefano Morozzi09/2020
7862(32*10^90669+13)/990670Robert Price04/2015
786110^90669+979390670Patrick De Geest11/2018
786310^90669-22393190669Patrick De Geest07/2019
7864(2^301191+2510)/290668Stefano Morozzi09/2020
78655*10^90666-6390667Robert Price04/2021
786610^90665+1098990666Patrick De Geest07/2019
786710^90665-308790665Patrick De Geest11/2018
786810^90662+8963790663Patrick De Geest07/2019
786910^90662-951990662Patrick De Geest11/2018
787010^90661+237390662Patrick De Geest11/2018
787110^90661-19478190661Patrick De Geest07/2019
78723*5^129698+890656Lelio R Paula10/2014
7873F(433781)90655Henri Lifchitz09/2003
787419^70891+8290653Lelio R Paula06/2016
7875(29*2^301124-1)/1390648Lelio R Paula02/2014
787610^90636+6415990637Patrick De Geest07/2019
787710^90636-310190636Patrick De Geest11/2018
78787*3^189953-890632Lelio R Paula08/2014
787910^90626+33928990627Patrick De Geest07/2019
788010^90626-113190626Patrick De Geest11/2018
788111^87022-180090625Enzo Doria12/2012
788210^90623+86190624Patrick De Geest11/2018
788310^90623-30584190623Patrick De Geest07/2019
7884(2^301042+47)/1203696990616Lelio R Paula06/2013
78852^301004-278693990612Enzo Doria03/2016
788610^90611+16997790612Patrick De Geest07/2019
788810^90611-973790611Patrick De Geest11/2018
788710^90610+3674790611Patrick De Geest07/2019
788910^90609+682390610Patrick De Geest11/2018
789010^90610-2657390610Patrick De Geest07/2019
789110^90609-22817390609Patrick De Geest07/2019
78922^300980-2790605Lelio R Paula11/2012
78932*10^90597-790598Dmitry Domanov11/2010
7894197^39485+290597Lelio R Paula06/2013
78957^107198+4890593Lelio R Paula04/2016
7896(86*10^90588+121)/990589Robert Price03/2017
78972^300923+5390587Lelio R Paula11/2012
78982^300874+790573Lelio R Paula10/2012
789910^90567+948990568Patrick De Geest11/2018
790010^90567-23135390567Patrick De Geest07/2019
7901(2^300857+2214)/290567Stefano Morozzi01/2020
79025^129568-5690565Lelio R Paula04/2016
79032^300847-11283190564Enzo Doria06/2014
790410^90562+79019790563Patrick De Geest07/2019
790510^90562-298190562Patrick De Geest11/2018
7906(7796^23269-1)/779590557Serge Batalov08/2020
7907(31*10^90554+257)/990555Robert Price12/2021
790810^90549+381190550Patrick De Geest11/2018
790910^90549-63030390549Patrick De Geest07/2019
79102^300790-454190547Yves Minet03/2019
791110^90532+816990533Patrick De Geest11/2018
791210^90531+983190532Patrick De Geest11/2018
791310^90532-15488990532Patrick De Geest07/2019
791410^90531-106058990531Patrick De Geest07/2019
79162^300718+25525590526Lelio R Paula02/2016
7915(2^300719+938)/290526Stefano Morozzi01/2020
791710^90516+21591790517Patrick De Geest07/2019
791810^90516-678390516Patrick De Geest11/2018
791910^90511+3017790512Patrick De Geest07/2019
792010^90511-697790511Patrick De Geest11/2018
7921(8573^23011-1)/857290502Serge Batalov08/2020
79222^300637+9590501Lelio R Paula11/2012
79237^107087-2490500Lelio R Paula04/2016
792410^90499+19154790500Patrick De Geest07/2019
792510^90499-582390499Patrick De Geest11/2018
7927(10^90499+3^90499)/1390498Robert Price01/2013
792613^81241+9090498Lelio R Paula06/2016
7928(2^300600+1222)/290490Stefano Morozzi01/2020
792910^90480+513190481Patrick De Geest11/2018
793010^90480-8572190480Patrick De Geest07/2019
7931(34*10^90478-547)/990479Robert Price03/2021
79326^116273-8590478Lelio R Paula05/2016
793310^90473+313990474Patrick De Geest11/2018
793410^90473-15059990473Patrick De Geest07/2019
793510^90470+231990471Patrick De Geest11/2018
793610^90470-7163790470Patrick De Geest07/2019
79376^116256-1757390465Enzo Doria02/2013
79382^300502+5461590461Lelio R Paula02/2016
7939(13*2^300487+1)/4590456Lelio R Paula09/2013
794010^90453+14184390454Patrick De Geest07/2019
794210^90453-396990453Patrick De Geest11/2018
794110^90452+5931790453Patrick De Geest05/2021
794310^90452-8000000190452Robert Price04/2021
794410^90452-8471390452Patrick De Geest05/2021
794510^90440+135990441Patrick De Geest11/2018
794610^90440-1882190440Patrick De Geest07/2019
7947(3^189545-8)/590436Lelio R Paula01/2013
7948(7*2^300406-1)/390432Lelio R Paula02/2014
794910^90430+333990431Patrick De Geest11/2018
795010^90430-6347790430Patrick De Geest07/2019
7951(5408^24223-1)/540790422Serge Batalov08/2020
795210^90414+22959390415Patrick De Geest07/2019
795310^90414-154790414Patrick De Geest11/2018
795410^90404+4704190405Patrick De Geest07/2019
795510^90404-642990404Patrick De Geest11/2018
795610^90401+207790402Patrick De Geest11/2018
795710^90401-36863790401Patrick De Geest07/2019
795824900^4271+4271^2490090401Hans Havermann08/2020
79594*5^129332+390400Lelio R Paula10/2014
796110^90397+1978390398Patrick De Geest07/2019
796023380^7353+7353^2338090398Hans Havermann08/2020
796310^90397-32390397Patrick De Geest11/2018
7962(2^300293+2762)/290397Stefano Morozzi01/2020
796424058^5719+5719^2405890394Hans Havermann08/2020
79652^300249-1624590384Enzo Doria04/2013
796624414^5035+5035^2441490381Hans Havermann08/2020
7967(7*10^90371-313)/990371Robert Price11/2016
796810^90363+5867790364Patrick De Geest07/2019
796910^90363-355790363Patrick De Geest11/2018
797010^90358+10464190359Patrick De Geest07/2019
79732*6^116118+790358Lelio R Paula10/2014
797210^90358-497990358Patrick De Geest11/2018
797110^90357+11283790358Patrick De Geest07/2019
797410^90357-18959390357Patrick De Geest07/2019
797510^90356+5311390357Patrick De Geest07/2019
797610^90356-719790356Patrick De Geest11/2018
797710^90353+60321190354Patrick De Geest07/2019
797810^90353-108990353Patrick De Geest11/2018
7979(24737*2^300101+1)/2590343Lelio R Paula06/2014
79804*10^90334-2190335Robert Price04/2016
7981(4546^24697-1)/454590329Serge Batalov08/2020
798210^90322+13769190323Patrick De Geest07/2019
798310^90322-955190322Patrick De Geest11/2018
798410^90316+999190317Patrick De Geest11/2018
7985(4550^24691-1)/454990317Serge Batalov08/2020
798610^90316-4562790316Patrick De Geest07/2019
798710^90315+3288990316Patrick De Geest07/2019
79892^300019-11033590315Enzo Doria05/2014
798810^90315-856190315Patrick De Geest11/2018
7990FAB2(300001,5032)90310Robert Price05/2019
7991FAB2(300001,29405)90310Robert Price05/2019
7992(2^299965+2774)/290299Stefano Morozzi01/2020
799323679^6506+6506^2367990296Hans Havermann08/2020
79942^299949-100590294Lelio R Paula11/2013
7995(2^299947+2054)/290293Stefano Morozzi01/2020
799621740^14229+14229^2174090291Hans Havermann08/2020
799710^90279+6245790280Patrick De Geest07/2019
799810^90279-155190279Patrick De Geest09/2018
7999(2^299892+1986)/290277Stefano Morozzi01/2020
8000(2^299893+3866)/290277Stefano Morozzi01/2020


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: January, 19 2022 17:15 (Time in France)

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