PRP Records

Probable Primes Top 10000

(295532 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) !!!


Submit your PRPs


See the Top discoverers
See the Latest PRPs
Search by form


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 ?
958410^100000+15136771100001Robert Price09/2019
958510^100000+15219873100001Robert Price10/2019
958610^100000+15274039100001Robert Price10/2019
958710^100000+15394069100001Robert Price10/2019
958810^100000+15547119100001Robert Price10/2019
958910^100000+15932923100001Robert Price11/2019
959010^100000+16345467100001Robert Price12/2019
959110^100000+16672143100001Robert Price01/2020
959210^100000+16731939100001Robert Price02/2020
959310^100000+16907049100001Robert Price03/2020
959410^100000+17652523100001Robert Price05/2020
959510^100000+18047167100001Robert Price05/2020
959610^100000+18471819100001Robert Price06/2020
959710^100000+18494793100001Robert Price07/2020
959810^100000+18762609100001Robert Price07/2020
959910^100000+19204141100001Robert Price08/2020
960010^100000+19349793100001Robert Price08/2020
960110^100000+19495699100001Robert Price09/2020
960210^100000+19668927100001Robert Price09/2020
960310^100000+19704313100001Robert Price09/2020
955310^100000+19956229100001Robert Price09/2020
955410^100000+3*(10^37093-1)/9*10^31454+1100001Makoto Morimoto09/2020
955510^100000+4*(10^36149-1)/9*10^31926+1100001Makoto Morimoto09/2020
955610^100000+6*(10^41029-1)/9*10^29486+1100001Makoto Morimoto09/2020
955710^100000+7*(10^55505-1)/9*10^22248+1100001Makoto Morimoto09/2020
955810^100000+20234607100001Robert Price10/2020
955910^100000+20752303100001Robert Price11/2020
956010^100000+20774041100001Robert Price11/2020
956110^100000+20854741100001Robert Price11/2020
956210^100000+20908917100001Robert Price11/2020
956310^100000+20994793100001Robert Price11/2020
956410^100000+21354249100001Robert Price12/2020
956510^100000+21455559100001Robert Price12/2020
956610^100000+21538873100001Robert Price12/2020
956710^100000+21830901100001Robert Price01/2021
956810^100000+21842629100001Robert Price01/2021
956910^100000+21930861100001Robert Price01/2021
957010^100000+22092943100001Robert Price03/2021
957110^100000+22278417100001Robert Price03/2021
957210^100000+22388581100001Robert Price03/2021
957310^100000+22390933100001Robert Price03/2021
957410^100000+22436169100001Robert Price03/2021
957510^100000+22714557100001Robert Price04/2021
957610^100000+22847671100001Robert Price04/2021
957710^100000+23178567100001Robert Price05/2021
957810^100000+23332003100001Robert Price05/2021
957910^100000+23414571100001Robert Price05/2021
958010^100000+23529979100001Robert Price05/2021
958110^100000+23749243100001Robert Price06/2021
958210^100000+23821771100001Robert Price06/2021
958310^100000+24179307100001Robert Price07/2021
950110^100000+75681951100001Robert Price11/2023
950210^100000+75756217100001Robert Price11/2023
950310^100000+75904543100001Robert Price11/2023
950410^100000+76129519100001Robert Price11/2023
950510^100000+77011297100001Robert Price11/2023
950610^100000+77133961100001Robert Price11/2023
950710^100000+77281647100001Robert Price11/2023
950810^100000+77316129100001Robert Price11/2023
950910^100000+77431989100001Robert Price11/2023
951010^100000+77826001100001Robert Price11/2023
951110^100000+77912487100001Robert Price11/2023
951210^100000+77981233100001Robert Price11/2023
951310^100000+78381711100001Robert Price11/2023
951410^100000+78539001100001Robert Price11/2023
951510^100000+78766053100001Robert Price11/2023
951610^100000+79189899100001Robert Price11/2023
951710^100000+78957711100001Robert Price11/2023
951810^100000+79685547100001Robert Price11/2023
951910^100000+79726413100001Robert Price11/2023
952010^100000+79726737100001Robert Price11/2023
952110^100000+79826767100001Robert Price11/2023
952210^100000+64067989100001Robert Price07/2024
952310^100000+64537969100001Robert Price07/2024
952410^100000+64684401100001Robert Price07/2024
952510^100000+65078241100001Robert Price07/2024
952610^100000+65108589100001Robert Price07/2024
952710^100000+65321659100001Robert Price07/2024
952810^100000+65530773100001Robert Price07/2024
952910^100000+60000000+2860971100001Robert Price07/2024
953010^100000+60000000+2993517100001Robert Price07/2024
953110^100000+60000000+3372931100001Robert Price07/2024
953210^100000+60000000+3571039100001Robert Price07/2024
953310^100000+60000000+3701257100001Robert Price07/2024
953410^100000+60000000+3765727100001Robert Price07/2024
953510^100000+40000000+8024501100001Robert Price07/2024
953610^100000+40000000+8234057100001Robert Price07/2024
953710^100000+40000000+8313399100001Robert Price07/2024
953810^100000+40000000+8831817100001Robert Price07/2024
953910^100000+40000000+9154433100001Robert Price07/2024
954010^100000+40000000+9457031100001Robert Price07/2024
954110^100000+40000000+9741063100001Robert Price07/2024
954210^100000+46334983100001Robert Price07/2024
954310^100000+46408929100001Robert Price07/2024
954410^100000+46477587100001Robert Price07/2024
954510^100000+46484211100001Robert Price07/2024
954610^100000+46496169100001Robert Price07/2024
954710^100000+46629949100001Robert Price07/2024
954810^100000+46655869100001Robert Price07/2024
954910^100000+47167941100001Robert Price07/2024
955010^100000+47225599100001Robert Price07/2024
955110^100000+47784519100001Robert Price07/2024
955210^100000+47831149100001Robert Price07/2024
960610^99999+309403100000Daniel Heuer01/2004
960710^100000-260199100000Patrick De Geest01/2010
96042^332192+10192681100000Sujan Das06/2022
96051610172603059^8192+1610172602878^8192100000Youcef Lemsafer01/2023
960810^99999-5951199999Patrick De Geest07/2009
960910^99998+23543799999Patrick De Geest02/2020
961010^99998-28658799998Patrick De Geest02/2020
961110^99997+7229799998Patrick De Geest02/2020
961210^99997-40262799997Patrick De Geest02/2020
961310^99996+27985399997Patrick De Geest02/2020
961410^99997-50000000199997Robert Price12/2020
961510^99996-9496199996Patrick De Geest02/2020
961610^99995+5463399996Patrick De Geest02/2020
961710^99995-10142999995Patrick De Geest02/2020
961810^99994+11727199995Patrick De Geest02/2020
961910^99994-45228999994Patrick De Geest02/2020
962010^99993+37131199994Patrick De Geest02/2020
962110^99993-18649199993Patrick De Geest02/2020
962210^99992+1743199993Patrick De Geest02/2020
962310^99992-2860799992Patrick De Geest02/2020
962410^99991+12539199992Patrick De Geest02/2020
962510^99991-20457399991Patrick De Geest02/2020
962610^99990+1389999991Patrick De Geest02/2020
962710^99990-811199990Patrick De Geest02/2020
96282^332141-11307399985Enzo Doria07/2014
9629(1610172603037^8192+1610172602919^8192)/1711094812747366699983Youcef Lemsafer01/2023
96306*10^99979-7999980Robert Price03/2022
9632(3^209561+2)/72810125599978Lelio R Paula09/2013
963123827^15702+15702^2382799978Hans Havermann04/2018
96332^332085+186589799968Enzo Doria03/2016
9634(9787*2^332070-1)/93640236999959Lelio R Paula05/2015
96352^332023+19199949Lelio R Paula02/2011
9636(6271^26321-1)/627099946Serge Batalov06/2022
96377*10^99944+2799945Robert Price11/2020
96383188^28523-28523^318899931Norbert Schneider06/2023
96392^331938+7114999924Enzo Doria04/2016
96402^331932-7879599922Lelio R Paula09/2016
96412^331921+77199919Lelio R Paula01/2013
96427947^25618-25618^794799916Norbert Schneider08/2023
9643(3^209419-2)/513275599912Lelio R Paula09/2013
964421657^23042-23042^2165799901Norbert Schneider04/2024
96452^331860-11498999900Enzo Doria05/2015
964623*31^66974+297099884Eric Chen04/2024
96472^331746-1165599866Lelio R Paula09/2016
964811^95891-2899861Lelio R Paula08/2016
9649(2^331694-5)/1199849Lelio R Paula10/2013
9650(3^209246+7)/6499834Lelio R Paula09/2013
965125062^9617+9617^2506299823Hans Havermann04/2018
965215^84866-5299811Lelio R Paula08/2016
965313^89600+3099810Lelio R Paula08/2016
96542^331527+10028024506599800Paul Bourdelais10/2021
965522950^22309+22309^2295099798Hans Havermann03/2018
96565^142772-3899794Lelio R Paula08/2016
9657(7482^25759-1)/748199787Serge Batalov06/2022
9658(23*2^331459+1)/47599778Lelio R Paula11/2013
96592^331416-331416+199767Robert Price10/2014
96602^331256-5799718Lelio R Paula12/2012
966128192^3443+3443^2819299714Hans Havermann03/2018
96622^331185+73799697Lelio R Paula01/2013
9663(4*10^99693+149)/999693Robert Price03/2017
96642^331154+188052799688Enzo Doria10/2016
9666(19^77951+1)/2099679Paul Bourdelais03/2010
966524354^12385+12385^2435499679Hans Havermann03/2018
96672^331110+187045999675Enzo Doria05/2016
96685*2^331075+799665Lelio R Paula08/2014
966925776^7351+7351^2577699659Hans Havermann02/2018
9670(16*10^99656-31)/399657Robert Price03/2016
9671(6059^26347-1)/605899652Serge Batalov06/2022
9672(15544^23773-1)/1554399642Serge Batalov06/2022
96742^330968+34599632Lelio R Paula09/2016
9673(2^330969+690)/299632Stefano Morozzi09/2020
96762*5^142528-799624Lelio R Paula11/2014
96752^330942+7732999624Enzo Doria05/2016
967714^86914-9999615Lelio R Paula08/2016
9678(19*2^330902+1)/7799611Lelio R Paula11/2013
967922971^21692+21692^2297199610Hans Havermann03/2018
96802^330845+7168799595Enzo Doria04/2016
9681(26667^22501-1)/2666699585Serge Batalov06/2022
9682(23*2^330770+1)/399573Lelio R Paula11/2013
968324494^11613+11613^2449499567Hans Havermann03/2018
96842^330735+841599562Lelio R Paula09/2016
96852^330720+7407199557Enzo Doria04/2016
9686(10405^24781-1)/1040499548Serge Batalov06/2022
968831^66738-299531Lelio R Paula09/2013
9687(9002^25171-1)/900199531Serge Batalov06/2022
9689(5023^26893-1)/502299527Serge Batalov06/2022
96907*3^208567+499513Lelio R Paula08/2014
9691(15881^23689-1)/1588099511Serge Batalov06/2022
9692(13*10^99508+47)/399509Robert Price01/2017
96932^330553+77999507Lelio R Paula01/2013
969415^84606-9499505Lelio R Paula08/2016
9695(10^99497+173)/399497Robert Price05/2021
96969*10^99493-4399494Robert Price09/2021
96976^127858+4799493Lelio R Paula08/2016
96985^142337+4899490Lelio R Paula08/2016
96997^117724-2099489Lelio R Paula08/2016
9700(559^36209-1)/55899479Serge Batalov06/2022
9701(13470^24091-1)/1346999477Serge Batalov06/2022
9702(29*10^99474-17)/399475Erik Branger09/2014
9703(185*10^99466-11)/399468Robert Price10/2020
9704(2^330410+2038)/299464Stefano Morozzi09/2020
9705(9*2^330407-1)/799463Lelio R Paula03/2014
9706(516*32^66077-175)/3199458Eric Chen04/2023
9707(2863^28771-1)/286299453Serge Batalov06/2022
9708(2^330373+2114)/299452Stefano Morozzi09/2020
9709(68*10^99441+7)/399443Robert Price03/2016
971010^99434+15557199435Patrick De Geest04/2020
971110^99434-12345678999434Robert Price02/2020
971210^99434-19123799434Patrick De Geest04/2020
971346^59791-45^5979199418Jean-Louis Charton01/2013
971423839^14802+14802^2383999417Hans Havermann02/2018
9715(2*10^99408+529)/999408Robert Price01/2017
9716(2^330216+3510)/299405Stefano Morozzi09/2020
971753^57646-299398Lelio R Paula09/2013
97182^330165+187002599390Enzo Doria05/2016
97197*10^99383+9799384Robert Price09/2021
97202^330142-15599383Lelio R Paula12/2012
97212^330088-11525999367Enzo Doria06/2015
972224216^12671+12671^2421699354Hans Havermann01/2018
9723Phi(200548,10)/320876999354Makoto Kamada04/2019
9724(746*10^99303+1)/999305Robert Price02/2017
97253^208107+4099293Lelio R Paula08/2016
97262^329843+21134399293Enzo Doria08/2023
9727(3939^27617-1)/393899291Serge Batalov06/2022
9728(5*2^329833-1)/36999288Lelio R Paula02/2014
97298*3^208093+599287Lelio R Paula08/2014
97305^142043+5699284Lelio R Paula08/2016
9731(13*10^99282-157)/999283Robert Price05/2021
9732(10^99284+7)/53/6799281Alfred Reich06/2021
973322*10^99275+799277Robert Price04/2016
97342^329778+187618999274Enzo Doria07/2016
9735(149557^19321-1)/(149557^139-1)99264Ryan Propper11/2023
9736(6580^25997-1)/657999259Serge Batalov06/2022
9737(2249^29611-1)/224899253Serge Batalov06/2022
9738(10^99239-13)/399239Robert Price02/2017
9739(1199^32233-1)/119899237Serge Batalov06/2022
97413^207987+6299236Lelio R Paula08/2016
9740(62*10^99235+91)/999236Robert Price07/2021
97422^329638+4999231Lelio R Paula12/2012
97437^117413-1899226Lelio R Paula08/2016
97442^329586-45890399216Enzo Doria04/2015
9745(6290^26119-1)/628999214Serge Batalov06/2022
97472^329553+10199206Lelio R Paula12/2012
9746(21297^22921-1)/2129699206Serge Batalov06/2022
97482^329551-11289799205Enzo Doria06/2014
9749(3^207925+7)/5099204Lelio R Paula09/2013
9750U(477331)/5727972199202Serge Batalov07/2024


Find by discoverer :

Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: July, 26 2024 20:36 (Time in France)

Go back
Valid XHTML 1.0!    Valid CSS!