PRP Records

Probable Primes Top 10000

(293510 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 ?
870425206!+p(4114)100001Henri Lifchitz09/2005
870525206!-p(5447)100001Henri Lifchitz10/2005
870625206!-p(12402)100001Henri Lifchitz04/2006
870725206!-p(16290)100001Henri Lifchitz09/2006
870825206!-p(19647)100001Henri Lifchitz02/2007
87092^332194+11473100001Henri Lifchitz03/2007
869910^100000+342909100001Milton L. Brown12/2007
870010^100000+346579100001Robert Price04/2012
870110^100000+829767100001Robert Price05/2012
870210^100000+871899100001Robert Price05/2012
870310^100000+1475997100001Robert Price07/2012
869210^100000+1751769100001Robert Price08/2012
869310^100000+2155489100001Robert Price10/2012
869410^100000+2483527100001Robert Price12/2012
869510^100000+2503087100001Robert Price12/2012
869610^100000+2686179100001Robert Price12/2012
869710^100000+2688933100001Robert Price12/2012
869810^100000+3667159100001Robert Price08/2013
85012^332196-1-2*29696100001Matt Stath11/2018
850210^100000+12363957100001Robert Price11/2018
85032^332196+1+2*17152100001Matt Stath12/2018
850410^100000+12778033100001Robert Price02/2019
850510^100000+13581679100001Robert Price05/2019
850610^100000+13613199100001Robert Price05/2019
850710^100000+13752327100001Robert Price05/2019
850810^100000+14139243100001Robert Price06/2019
850910^100000+14151057100001Robert Price06/2019
851010^100000+14218923100001Robert Price06/2019
867210^100000+15136771100001Robert Price09/2019
867310^100000+15219873100001Robert Price10/2019
867410^100000+15274039100001Robert Price10/2019
867510^100000+15394069100001Robert Price10/2019
867610^100000+15547119100001Robert Price10/2019
867710^100000+15932923100001Robert Price11/2019
867810^100000+16345467100001Robert Price12/2019
867910^100000+16672143100001Robert Price01/2020
868010^100000+16731939100001Robert Price02/2020
868110^100000+16907049100001Robert Price03/2020
868210^100000+17652523100001Robert Price05/2020
868310^100000+18047167100001Robert Price05/2020
868410^100000+18471819100001Robert Price06/2020
868510^100000+18494793100001Robert Price07/2020
868610^100000+18762609100001Robert Price07/2020
868710^100000+19204141100001Robert Price08/2020
868810^100000+19349793100001Robert Price08/2020
868910^100000+19495699100001Robert Price09/2020
869010^100000+19668927100001Robert Price09/2020
869110^100000+19704313100001Robert Price09/2020
864110^100000+19956229100001Robert Price09/2020
864210^100000+3*(10^37093-1)/9*10^31454+1100001Makoto Morimoto09/2020
864310^100000+4*(10^36149-1)/9*10^31926+1100001Makoto Morimoto09/2020
864410^100000+6*(10^41029-1)/9*10^29486+1100001Makoto Morimoto09/2020
864510^100000+7*(10^55505-1)/9*10^22248+1100001Makoto Morimoto09/2020
864610^100000+20234607100001Robert Price10/2020
864710^100000+20752303100001Robert Price11/2020
864810^100000+20774041100001Robert Price11/2020
864910^100000+20854741100001Robert Price11/2020
865010^100000+20908917100001Robert Price11/2020
865110^100000+20994793100001Robert Price11/2020
865210^100000+21354249100001Robert Price12/2020
865310^100000+21455559100001Robert Price12/2020
865410^100000+21538873100001Robert Price12/2020
865510^100000+21830901100001Robert Price01/2021
865610^100000+21842629100001Robert Price01/2021
865710^100000+21930861100001Robert Price01/2021
865810^100000+22092943100001Robert Price03/2021
865910^100000+22278417100001Robert Price03/2021
866010^100000+22388581100001Robert Price03/2021
866110^100000+22390933100001Robert Price03/2021
866210^100000+22436169100001Robert Price03/2021
866310^100000+22714557100001Robert Price04/2021
866410^100000+22847671100001Robert Price04/2021
866510^100000+23178567100001Robert Price05/2021
866610^100000+23332003100001Robert Price05/2021
866710^100000+23414571100001Robert Price05/2021
866810^100000+23529979100001Robert Price05/2021
866910^100000+23749243100001Robert Price06/2021
867010^100000+23821771100001Robert Price06/2021
867110^100000+24179307100001Robert Price07/2021
851110^100000+24543147100001Robert Price08/2021
851210^100000+24781659100001Robert Price08/2021
851310^100000+24906153100001Robert Price08/2021
851410^100000+25682679100001Robert Price10/2021
851510^100000+25905301100001Robert Price10/2021
851610^100000+25923967100001Robert Price10/2021
851710^100000+26061691100001Robert Price10/2021
851810^100000+26173351100001Robert Price11/2021
851910^100000+26673487100001Robert Price11/2021
852010^100000+26849359100001Robert Price12/2021
852110^100000+26893887100001Robert Price12/2021
852210^100000+26954551100001Robert Price12/2021
852310^100000+27024543100001Robert Price12/2021
852410^100000+27060877100001Robert Price12/2021
852510^100000+27617577100001Robert Price03/2022
852610^100000+27869671100001Robert Price03/2022
852710^100000+27956481100001Robert Price03/2022
852810^100000+28078261100001Robert Price03/2022
852910^100000+28150203100001Robert Price03/2022
853010^100000+28626021100001Robert Price05/2022
853110^100000+28649299100001Robert Price05/2022
853210^100000+29409799100001Robert Price06/2022
853310^100000+29415577100001Robert Price06/2022
853410^100000+29424201100001Robert Price06/2022
853510^100000+29610153100001Robert Price07/2022
853610^100000+30166789100001Robert Price07/2022
853710^100000+30338259100001Robert Price07/2022
853810^100000+30540031100001Robert Price07/2022
853910^100000+30635157100001Robert Price07/2022
854010^100000+30762711100001Robert Price07/2022
854110^100000+30862057100001Robert Price07/2022
854210^100000+30998953100001Robert Price07/2022
854310^100000+31405203100001Robert Price07/2022
854410^100000+40159119100001Robert Price07/2022
854510^100000+40181863100001Robert Price07/2022
854610^100000+40277131100001Robert Price07/2022
854710^100000+40326061100001Robert Price07/2022
854810^100000+40417411100001Robert Price07/2022
854910^100000+50049909100001Robert Price07/2022
855010^100000+50510163100001Robert Price07/2022
855110^100000+50591583100001Robert Price07/2022
855210^100000+50850357100001Robert Price07/2022
855310^100000+50974641100001Robert Price07/2022
855410^100000+51046671100001Robert Price07/2022
855510^100000+51459657100001Robert Price07/2022
855610^100000+70081471100001Robert Price07/2022
855710^100000+70159557100001Robert Price07/2022
855810^100000+70262479100001Robert Price07/2022
855910^100000+70417521100001Robert Price07/2022
856010^100000+70476531100001Robert Price07/2022
856110^100000+70534627100001Robert Price07/2022
856210^100000+70873077100001Robert Price07/2022
856310^100000+71114643100001Robert Price07/2022
856410^100000+71272539100001Robert Price07/2022
856510^100000+80025337100001Robert Price07/2022
856610^100000+71580817100001Robert Price07/2022
856710^100000+80270349100001Robert Price07/2022
856810^100000+29831551100001Robert Price07/2022
856910^100000+29955417100001Robert Price08/2022
8570479072067*10^99992+1+2*1779100001Matt Stath12/2022
857110^100000+90000000+851439100001Robert Price04/2023
857210^100000+90000000+1088017100001Robert Price04/2023
857310^100000+90000000+1288173100001Robert Price04/2023
857410^100000+90000000+1324549100001Robert Price04/2023
857510^100000+90000000+3643869100001Robert Price04/2023
857610^100000+110000000+60221100001Robert Price04/2023
857710^100000+110000000+373261100001Robert Price04/2023
857810^100000+110000000+497513100001Robert Price04/2023
857910^100000+120000000+33823100001Robert Price04/2023
858010^100000+120000000+419053100001Robert Price04/2023
858110^100000+32110183100001Robert Price09/2023
858210^100000+32401957100001Robert Price09/2023
858310^100000+32301613100001Robert Price09/2023
858410^100000+32784673100001Robert Price09/2023
858510^100000+32896891100001Robert Price09/2023
858610^100000+33279769100001Robert Price09/2023
858710^100000+33648571100001Robert Price09/2023
858810^100000+35157571100001Robert Price09/2023
858910^100000+35226249100001Robert Price09/2023
859010^100000+35282473100001Robert Price09/2023
859110^100000+35948761100001Robert Price09/2023
859210^100000+36443959100001Robert Price09/2023
859310^100000+36497599100001Robert Price09/2023
859410^100000+36558403100001Robert Price09/2023
859510^100000+36812521100001Robert Price09/2023
859610^100000+36858877100001Robert Price09/2023
859710^100000+37230043100001Robert Price09/2023
859810^100000+37449007100001Robert Price09/2023
859910^100000+37329319100001Robert Price09/2023
860010^100000+37677673100001Robert Price09/2023
860110^100000+37696443100001Robert Price09/2023
860210^100000+37782939100001Robert Price09/2023
860310^100000+37952341100001Robert Price09/2023
860410^100000+37954359100001Robert Price09/2023
860510^100000+37962607100001Robert Price09/2023
860610^100000+38385177100001Robert Price09/2023
860710^100000+38497629100001Robert Price09/2023
860810^100000+38506677100001Robert Price09/2023
860910^100000+38707363100001Robert Price09/2023
861010^100000+38769241100001Robert Price09/2023
861110^100000+38974447100001Robert Price09/2023
861210^100000+39124453100001Robert Price09/2023
861310^100000+39127687100001Robert Price09/2023
861410^100000+39197317100001Robert Price09/2023
861510^100000+39465897100001Robert Price09/2023
861610^100000+40588669100001Robert Price09/2023
861710^100000+40944997100001Robert Price09/2023
861810^100000+40948201100001Robert Price09/2023
861910^100000+41456151100001Robert Price09/2023
862010^100000+41492707100001Robert Price09/2023
862110^100000+41653389100001Robert Price09/2023
862210^100000+41853379100001Robert Price09/2023
862310^100000+41983459100001Robert Price09/2023
862410^100000+42043387100001Robert Price09/2023
862510^100000+42048453100001Robert Price09/2023
862610^100000+42336543100001Robert Price09/2023
862710^100000+42394797100001Robert Price09/2023
862810^100000+42880261100001Robert Price09/2023
862910^100000+42906303100001Robert Price09/2023
863010^100000+43061901100001Robert Price09/2023
863110^100000+43089789100001Robert Price09/2023
863210^100000+43418013100001Robert Price09/2023
863310^100000+43813831100001Robert Price09/2023
863410^100000+43950739100001Robert Price09/2023
863510^100000+44108359100001Robert Price09/2023
863610^100000+44183733100001Robert Price09/2023
863710^100000+45126303100001Robert Price09/2023
863810^100000+45218437100001Robert Price09/2023
863910^100000+45241837100001Robert Price09/2023
864010^100000+45665701100001Robert Price09/2023
871010^99999+309403100000Daniel Heuer01/2004
871110^100000-260199100000Patrick De Geest01/2010
87122^332192+10192681100000Sujan Das06/2022
87131610172603059^8192+1610172602878^8192100000Youcef Lemsafer01/2023
871510^99999-5951199999Patrick De Geest07/2009
871410^99998+23543799999Patrick De Geest02/2020
871610^99998-28658799998Patrick De Geest02/2020
871710^99997+7229799998Patrick De Geest02/2020
871810^99997-40262799997Patrick De Geest02/2020
871910^99996+27985399997Patrick De Geest02/2020
872010^99997-50000000199997Robert Price12/2020
872110^99996-9496199996Patrick De Geest02/2020
872210^99995+5463399996Patrick De Geest02/2020
872310^99995-10142999995Patrick De Geest02/2020
872410^99994+11727199995Patrick De Geest02/2020
872510^99994-45228999994Patrick De Geest02/2020
872610^99993+37131199994Patrick De Geest02/2020
872710^99993-18649199993Patrick De Geest02/2020
872810^99992+1743199993Patrick De Geest02/2020
872910^99992-2860799992Patrick De Geest02/2020
873010^99991+12539199992Patrick De Geest02/2020
873110^99991-20457399991Patrick De Geest02/2020
873210^99990+1389999991Patrick De Geest02/2020
873310^99990-811199990Patrick De Geest02/2020
87342^332141-11307399985Enzo Doria07/2014
8735(1610172603037^8192+1610172602919^8192)/1711094812747366699983Youcef Lemsafer01/2023
87366*10^99979-7999980Robert Price03/2022
8738(3^209561+2)/72810125599978Lelio R Paula09/2013
873723827^15702+15702^2382799978Hans Havermann04/2018
87392^332085+186589799968Enzo Doria03/2016
8740(9787*2^332070-1)/93640236999959Lelio R Paula05/2015
87412^332023+19199949Lelio R Paula02/2011
8742(6271^26321-1)/627099946Serge Batalov06/2022
87437*10^99944+2799945Robert Price11/2020
87443188^28523-28523^318899931Norbert Schneider06/2023
87452^331938+7114999924Enzo Doria04/2016
87462^331932-7879599922Lelio R Paula09/2016
87472^331921+77199919Lelio R Paula01/2013
87487947^25618-25618^794799916Norbert Schneider08/2023
8749(3^209419-2)/513275599912Lelio R Paula09/2013
87502^331860-11498999900Enzo Doria05/2015


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: September, 29 2023 15:19 (Time in France)

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