PRP Records

Probable Primes Top 10000

(295107 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 ?
940610^100000+15136771100001Robert Price09/2019
940710^100000+15219873100001Robert Price10/2019
940810^100000+15274039100001Robert Price10/2019
940910^100000+15394069100001Robert Price10/2019
941010^100000+15547119100001Robert Price10/2019
941110^100000+15932923100001Robert Price11/2019
941210^100000+16345467100001Robert Price12/2019
941310^100000+16672143100001Robert Price01/2020
941410^100000+16731939100001Robert Price02/2020
941510^100000+16907049100001Robert Price03/2020
941610^100000+17652523100001Robert Price05/2020
941710^100000+18047167100001Robert Price05/2020
941810^100000+18471819100001Robert Price06/2020
941910^100000+18494793100001Robert Price07/2020
942010^100000+18762609100001Robert Price07/2020
942110^100000+19204141100001Robert Price08/2020
942210^100000+19349793100001Robert Price08/2020
942310^100000+19495699100001Robert Price09/2020
942410^100000+19668927100001Robert Price09/2020
942510^100000+19704313100001Robert Price09/2020
937510^100000+19956229100001Robert Price09/2020
937610^100000+3*(10^37093-1)/9*10^31454+1100001Makoto Morimoto09/2020
937710^100000+4*(10^36149-1)/9*10^31926+1100001Makoto Morimoto09/2020
937810^100000+6*(10^41029-1)/9*10^29486+1100001Makoto Morimoto09/2020
937910^100000+7*(10^55505-1)/9*10^22248+1100001Makoto Morimoto09/2020
938010^100000+20234607100001Robert Price10/2020
938110^100000+20752303100001Robert Price11/2020
938210^100000+20774041100001Robert Price11/2020
938310^100000+20854741100001Robert Price11/2020
938410^100000+20908917100001Robert Price11/2020
938510^100000+20994793100001Robert Price11/2020
938610^100000+21354249100001Robert Price12/2020
938710^100000+21455559100001Robert Price12/2020
938810^100000+21538873100001Robert Price12/2020
938910^100000+21830901100001Robert Price01/2021
939010^100000+21842629100001Robert Price01/2021
939110^100000+21930861100001Robert Price01/2021
939210^100000+22092943100001Robert Price03/2021
939310^100000+22278417100001Robert Price03/2021
939410^100000+22388581100001Robert Price03/2021
939510^100000+22390933100001Robert Price03/2021
939610^100000+22436169100001Robert Price03/2021
939710^100000+22714557100001Robert Price04/2021
939810^100000+22847671100001Robert Price04/2021
939910^100000+23178567100001Robert Price05/2021
940010^100000+23332003100001Robert Price05/2021
940110^100000+23414571100001Robert Price05/2021
940210^100000+23529979100001Robert Price05/2021
940310^100000+23749243100001Robert Price06/2021
940410^100000+23821771100001Robert Price06/2021
940510^100000+24179307100001Robert Price07/2021
925110^100000+70417521100001Robert Price07/2022
925210^100000+70476531100001Robert Price07/2022
925310^100000+70534627100001Robert Price07/2022
925410^100000+70873077100001Robert Price07/2022
925510^100000+71114643100001Robert Price07/2022
925610^100000+71272539100001Robert Price07/2022
925710^100000+80025337100001Robert Price07/2022
925810^100000+71580817100001Robert Price07/2022
925910^100000+80270349100001Robert Price07/2022
926010^100000+29831551100001Robert Price07/2022
926110^100000+29955417100001Robert Price08/2022
9262479072067*10^99992+1+2*1779100001Matt Stath12/2022
926310^100000+90000000+851439100001Robert Price04/2023
926410^100000+90000000+1088017100001Robert Price04/2023
926510^100000+90000000+1288173100001Robert Price04/2023
926610^100000+90000000+1324549100001Robert Price04/2023
926710^100000+90000000+3643869100001Robert Price04/2023
926810^100000+110000000+60221100001Robert Price04/2023
926910^100000+110000000+373261100001Robert Price04/2023
927010^100000+110000000+497513100001Robert Price04/2023
927110^100000+120000000+33823100001Robert Price04/2023
927210^100000+120000000+419053100001Robert Price04/2023
927310^100000+32110183100001Robert Price09/2023
927410^100000+32401957100001Robert Price09/2023
927510^100000+32301613100001Robert Price09/2023
927610^100000+32784673100001Robert Price09/2023
927710^100000+32896891100001Robert Price09/2023
927810^100000+33279769100001Robert Price09/2023
927910^100000+33648571100001Robert Price09/2023
928010^100000+35157571100001Robert Price09/2023
928110^100000+35226249100001Robert Price09/2023
928210^100000+35282473100001Robert Price09/2023
928310^100000+35948761100001Robert Price09/2023
928410^100000+36443959100001Robert Price09/2023
928510^100000+36497599100001Robert Price09/2023
928610^100000+36558403100001Robert Price09/2023
928710^100000+36812521100001Robert Price09/2023
928810^100000+36858877100001Robert Price09/2023
928910^100000+37230043100001Robert Price09/2023
929010^100000+37449007100001Robert Price09/2023
929110^100000+37329319100001Robert Price09/2023
929210^100000+37677673100001Robert Price09/2023
929310^100000+37696443100001Robert Price09/2023
929410^100000+37782939100001Robert Price09/2023
929510^100000+37952341100001Robert Price09/2023
929610^100000+37954359100001Robert Price09/2023
929710^100000+37962607100001Robert Price09/2023
929810^100000+38385177100001Robert Price09/2023
929910^100000+38497629100001Robert Price09/2023
930010^100000+38506677100001Robert Price09/2023
930110^100000+38707363100001Robert Price09/2023
930210^100000+38769241100001Robert Price09/2023
930310^100000+38974447100001Robert Price09/2023
930410^100000+39124453100001Robert Price09/2023
930510^100000+39127687100001Robert Price09/2023
930610^100000+39197317100001Robert Price09/2023
930710^100000+39465897100001Robert Price09/2023
930810^100000+40588669100001Robert Price09/2023
930910^100000+40944997100001Robert Price09/2023
931010^100000+40948201100001Robert Price09/2023
931110^100000+41456151100001Robert Price09/2023
931210^100000+41492707100001Robert Price09/2023
931310^100000+41653389100001Robert Price09/2023
931410^100000+41853379100001Robert Price09/2023
931510^100000+41983459100001Robert Price09/2023
931610^100000+42043387100001Robert Price09/2023
931710^100000+42048453100001Robert Price09/2023
931810^100000+42336543100001Robert Price09/2023
931910^100000+42394797100001Robert Price09/2023
932010^100000+42880261100001Robert Price09/2023
932110^100000+42906303100001Robert Price09/2023
932210^100000+43061901100001Robert Price09/2023
932310^100000+43089789100001Robert Price09/2023
932410^100000+43418013100001Robert Price09/2023
932510^100000+43813831100001Robert Price09/2023
932610^100000+43950739100001Robert Price09/2023
932710^100000+44108359100001Robert Price09/2023
932810^100000+44183733100001Robert Price09/2023
932910^100000+45126303100001Robert Price09/2023
933010^100000+45218437100001Robert Price09/2023
933110^100000+45241837100001Robert Price09/2023
933210^100000+45665701100001Robert Price09/2023
933310^100000+60000000+8592669100001Robert Price10/2023
933410^100000+60000000+9092577100001Robert Price10/2023
933510^100000+60000000+9210001100001Robert Price10/2023
933610^100000+60000000+9402451100001Robert Price10/2023
933710^100000+60000000+9794877100001Robert Price10/2023
933810^100000+60000000+9951523100001Robert Price10/2023
933910^100000+72282091100001Robert Price11/2023
934010^100000+72440769100001Robert Price11/2023
934110^100000+73067163100001Robert Price11/2023
934210^100000+73186987100001Robert Price11/2023
934310^100000+73364199100001Robert Price11/2023
934410^100000+73582809100001Robert Price11/2023
934510^100000+73780641100001Robert Price11/2023
934610^100000+73803067100001Robert Price11/2023
934710^100000+74038329100001Robert Price11/2023
934810^100000+74050969100001Robert Price11/2023
934910^100000+74166241100001Robert Price11/2023
935010^100000+74812939100001Robert Price11/2023
935110^100000+75141423100001Robert Price11/2023
935210^100000+75209967100001Robert Price11/2023
935310^100000+75324327100001Robert Price11/2023
935410^100000+75681951100001Robert Price11/2023
935510^100000+75756217100001Robert Price11/2023
935610^100000+75904543100001Robert Price11/2023
935710^100000+76129519100001Robert Price11/2023
935810^100000+77011297100001Robert Price11/2023
935910^100000+77133961100001Robert Price11/2023
936010^100000+77281647100001Robert Price11/2023
936110^100000+77316129100001Robert Price11/2023
936210^100000+77431989100001Robert Price11/2023
936310^100000+77826001100001Robert Price11/2023
936410^100000+77912487100001Robert Price11/2023
936510^100000+77981233100001Robert Price11/2023
936610^100000+78381711100001Robert Price11/2023
936710^100000+78539001100001Robert Price11/2023
936810^100000+78766053100001Robert Price11/2023
936910^100000+79189899100001Robert Price11/2023
937010^100000+78957711100001Robert Price11/2023
937110^100000+79685547100001Robert Price11/2023
937210^100000+79726413100001Robert Price11/2023
937310^100000+79726737100001Robert Price11/2023
937410^100000+79826767100001Robert Price11/2023
942810^99999+309403100000Daniel Heuer01/2004
942910^100000-260199100000Patrick De Geest01/2010
94262^332192+10192681100000Sujan Das06/2022
94271610172603059^8192+1610172602878^8192100000Youcef Lemsafer01/2023
943010^99999-5951199999Patrick De Geest07/2009
943110^99998+23543799999Patrick De Geest02/2020
943210^99998-28658799998Patrick De Geest02/2020
943310^99997+7229799998Patrick De Geest02/2020
943410^99997-40262799997Patrick De Geest02/2020
943510^99996+27985399997Patrick De Geest02/2020
943610^99997-50000000199997Robert Price12/2020
943710^99996-9496199996Patrick De Geest02/2020
943810^99995+5463399996Patrick De Geest02/2020
943910^99995-10142999995Patrick De Geest02/2020
944010^99994+11727199995Patrick De Geest02/2020
944110^99994-45228999994Patrick De Geest02/2020
944210^99993+37131199994Patrick De Geest02/2020
944310^99993-18649199993Patrick De Geest02/2020
944410^99992+1743199993Patrick De Geest02/2020
944510^99992-2860799992Patrick De Geest02/2020
944610^99991+12539199992Patrick De Geest02/2020
944710^99991-20457399991Patrick De Geest02/2020
944810^99990+1389999991Patrick De Geest02/2020
944910^99990-811199990Patrick De Geest02/2020
94502^332141-11307399985Enzo Doria07/2014
9451(1610172603037^8192+1610172602919^8192)/1711094812747366699983Youcef Lemsafer01/2023
94526*10^99979-7999980Robert Price03/2022
9454(3^209561+2)/72810125599978Lelio R Paula09/2013
945323827^15702+15702^2382799978Hans Havermann04/2018
94552^332085+186589799968Enzo Doria03/2016
9456(9787*2^332070-1)/93640236999959Lelio R Paula05/2015
94572^332023+19199949Lelio R Paula02/2011
9458(6271^26321-1)/627099946Serge Batalov06/2022
94597*10^99944+2799945Robert Price11/2020
94603188^28523-28523^318899931Norbert Schneider06/2023
94612^331938+7114999924Enzo Doria04/2016
94622^331932-7879599922Lelio R Paula09/2016
94632^331921+77199919Lelio R Paula01/2013
94647947^25618-25618^794799916Norbert Schneider08/2023
9465(3^209419-2)/513275599912Lelio R Paula09/2013
946621657^23042-23042^2165799901Norbert Schneider04/2024
94672^331860-11498999900Enzo Doria05/2015
946823*31^66974+297099884Eric Chen04/2024
94692^331746-1165599866Lelio R Paula09/2016
947011^95891-2899861Lelio R Paula08/2016
9471(2^331694-5)/1199849Lelio R Paula10/2013
9472(3^209246+7)/6499834Lelio R Paula09/2013
947325062^9617+9617^2506299823Hans Havermann04/2018
947415^84866-5299811Lelio R Paula08/2016
947513^89600+3099810Lelio R Paula08/2016
94762^331527+10028024506599800Paul Bourdelais10/2021
947722950^22309+22309^2295099798Hans Havermann03/2018
94785^142772-3899794Lelio R Paula08/2016
9479(7482^25759-1)/748199787Serge Batalov06/2022
9480(23*2^331459+1)/47599778Lelio R Paula11/2013
94812^331416-331416+199767Robert Price10/2014
94822^331256-5799718Lelio R Paula12/2012
948328192^3443+3443^2819299714Hans Havermann03/2018
94842^331185+73799697Lelio R Paula01/2013
9485(4*10^99693+149)/999693Robert Price03/2017
94862^331154+188052799688Enzo Doria10/2016
9488(19^77951+1)/2099679Paul Bourdelais03/2010
948724354^12385+12385^2435499679Hans Havermann03/2018
94892^331110+187045999675Enzo Doria05/2016
94905*2^331075+799665Lelio R Paula08/2014
949125776^7351+7351^2577699659Hans Havermann02/2018
9492(16*10^99656-31)/399657Robert Price03/2016
9493(6059^26347-1)/605899652Serge Batalov06/2022
9494(15544^23773-1)/1554399642Serge Batalov06/2022
94962^330968+34599632Lelio R Paula09/2016
9495(2^330969+690)/299632Stefano Morozzi09/2020
94982*5^142528-799624Lelio R Paula11/2014
94972^330942+7732999624Enzo Doria05/2016
949914^86914-9999615Lelio R Paula08/2016
9500(19*2^330902+1)/7799611Lelio R Paula11/2013


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: May, 05 2024 11:19 (Time in France)

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