PRP Records

Probable Primes Top 10000

(255169 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 ?
9751(2^200181+168626)/260261Stefano Morozzi10/2019
9752(2^200183+84590)/260261Stefano Morozzi10/2019
9753(2^200183+98798)/260261Stefano Morozzi10/2019
9754(2^200182+39810)/260261Stefano Morozzi10/2019
9755(2^200178+66234)/260260Stefano Morozzi10/2019
9756(2^200178+121950)/260260Stefano Morozzi10/2019
9757(2^200179+171866)/260260Stefano Morozzi10/2019
9758(2^200180+182142)/260260Stefano Morozzi10/2019
9759(2^200178+34534)/260260Stefano Morozzi10/2019
9760(2^200174+61570)/260259Stefano Morozzi10/2019
9761(2^200177+19586)/260259Stefano Morozzi10/2019
9762(2^200177+34154)/260259Stefano Morozzi10/2019
9763(2^200171+169098)/260258Stefano Morozzi10/2019
9764(2^200171+178826)/260258Stefano Morozzi10/2019
9765(2^200173+126986)/260258Stefano Morozzi10/2019
977116282^5021+5021^1628260257Hans Havermann05/2019
9766(2^200169+104570)/260257Stefano Morozzi10/2019
9767(2^200169+137742)/260257Stefano Morozzi10/2019
9768(2^200170+81118)/260257Stefano Morozzi10/2019
9769(2^200170+29038)/260257Stefano Morozzi10/2019
9770(2^200170+46918)/260257Stefano Morozzi10/2019
977246^36238-4560256Norbert Schneider07/2014
9773(2^200164+147130)/260256Stefano Morozzi10/2019
9774(2^200166+89622)/260256Stefano Morozzi10/2019
977613^54091+9460255Lelio R Paula05/2013
9775(2^200161+192954)/260255Stefano Morozzi10/2019
9777(2^200159+74550)/260254Stefano Morozzi10/2019
9778(2^200160+76906)/260254Stefano Morozzi10/2019
9779(2^200160+12210)/260254Stefano Morozzi10/2019
9783311^24171-15460253Enzo Doria07/2012
9780(2^200154+185934)/260253Stefano Morozzi10/2019
9781(2^200157+128426)/260253Stefano Morozzi10/2019
9782(2^200154+60870)/260253Stefano Morozzi10/2019
9784(2^200151+164934)/260252Stefano Morozzi10/2019
9785(2^200153+145406)/260252Stefano Morozzi10/2019
9786(2^200148+112998)/260251Stefano Morozzi10/2019
9787(2^200148+122598)/260251Stefano Morozzi10/2019
9788(2^200148+134278)/260251Stefano Morozzi10/2019
9789(2^200149+185402)/260251Stefano Morozzi10/2019
9790(2^200150+14722)/260251Stefano Morozzi10/2019
9791(2^200143+83330)/260249Stefano Morozzi10/2019
9792(2^200141+41514)/260249Stefano Morozzi10/2019
9793(2^200139+76266)/260248Stefano Morozzi10/2019
9794(2^200140+87286)/260248Stefano Morozzi10/2019
9795(2^200140+132622)/260248Stefano Morozzi10/2019
9796(2^200140+31222)/260248Stefano Morozzi10/2019
9797(2^200135+77910)/260247Stefano Morozzi10/2019
9798(2^200137+148326)/260247Stefano Morozzi10/2019
9799(2^200136+24706)/260247Stefano Morozzi10/2019
9800(2^200128+187062)/260245Stefano Morozzi10/2019
9801(2^200129+125894)/260245Stefano Morozzi10/2019
9802(2^200130+85594)/260245Stefano Morozzi10/2019
9803(2^200125+86402)/260244Stefano Morozzi10/2019
9804(2^200124+58446)/260244Stefano Morozzi10/2019
98072^200120-8108960243Paul Bourdelais01/2012
98083^126262+868060243Lelio R Paula04/2013
9805(2^200122+9538)/260243Stefano Morozzi10/2019
9806(2^200123+46998)/260243Stefano Morozzi10/2019
9809(2^200119+70058)/260242Stefano Morozzi10/2019
9810(2^200120+142018)/260242Stefano Morozzi10/2019
9811(2^200120+175246)/260242Stefano Morozzi10/2019
9812(2^200111+81246)/260240Stefano Morozzi10/2019
9813(2^200113+106922)/260240Stefano Morozzi10/2019
9814(2^200113+193502)/260240Stefano Morozzi10/2019
9815(2^200113+48374)/260240Stefano Morozzi10/2019
982443031!3-5904960239Robert Price12/2015
9816(2^200108+94446)/260239Stefano Morozzi10/2019
9817(2^200108+128802)/260239Stefano Morozzi10/2019
9818(2^200109+154182)/260239Stefano Morozzi10/2019
9819(2^200110+117390)/260239Stefano Morozzi10/2019
9820(2^200110+180954)/260239Stefano Morozzi10/2019
9821(2^200108+5586)/260239Stefano Morozzi10/2019
9822(2^200108+10806)/260239Stefano Morozzi10/2019
9823(2^200110+16654)/260239Stefano Morozzi10/2019
9825(2^200105+109934)/260238Stefano Morozzi10/2019
9826(2^200106+74050)/260238Stefano Morozzi10/2019
9827(2^200106+83218)/260238Stefano Morozzi10/2019
98312^200100-11126960237Enzo Doria05/2014
9828(2^200101+77286)/260237Stefano Morozzi10/2019
9829(2^200103+105126)/260237Stefano Morozzi10/2019
9830(2^200103+4478)/260237Stefano Morozzi10/2019
9832(2^200095+86666)/260235Stefano Morozzi10/2019
9833(2^200096+138058)/260235Stefano Morozzi10/2019
9834(2^200096+181482)/260235Stefano Morozzi10/2019
9835(2^200097+72354)/260235Stefano Morozzi10/2019
9836(2^200097+140630)/260235Stefano Morozzi10/2019
9837(2^200091+88454)/260234Stefano Morozzi10/2019
9838(2^200091+141830)/260234Stefano Morozzi10/2019
9839(2^200092+161046)/260234Stefano Morozzi10/2019
9840(2^200093+66950)/260234Stefano Morozzi10/2019
9841(2^200093+144614)/260234Stefano Morozzi10/2019
9842(2^200094+135034)/260234Stefano Morozzi10/2019
9843(2^200091+7946)/260234Stefano Morozzi10/2019
9844(2^200089+194282)/260233Stefano Morozzi10/2019
9845(2^200086+160782)/260232Stefano Morozzi10/2019
9846(2^200087+143990)/260232Stefano Morozzi10/2019
9847(2^200084+77722)/260231Stefano Morozzi10/2019
9848(2^200084+153958)/260231Stefano Morozzi10/2019
9849(2^200082+16270)/260231Stefano Morozzi10/2019
9850(2^200084+922)/260231Stefano Morozzi10/2019
9851(2^200078+127590)/260230Stefano Morozzi10/2019
9852(2^200078+163462)/260230Stefano Morozzi10/2019
9853(2^200079+88454)/260230Stefano Morozzi10/2019
9854(2^200080+95542)/260230Stefano Morozzi10/2019
9855(2^200075+180618)/260229Stefano Morozzi10/2019
9856(2^200076+65542)/260229Stefano Morozzi10/2019
9857(2^200071+161886)/260228Stefano Morozzi10/2019
9858(2^200072+68070)/260228Stefano Morozzi10/2019
9859(2^200073+88182)/260228Stefano Morozzi10/2019
9860(2^200074+106302)/260228Stefano Morozzi10/2019
9861(2^200067+2574)/260226Stefano Morozzi10/2019
9865(29*2^200069-1)/537360225Lelio R Paula01/2014
9862(2^200061+136806)/260225Stefano Morozzi10/2019
9863(2^200061+166502)/260225Stefano Morozzi10/2019
9864(2^200062+55174)/260225Stefano Morozzi10/2019
9866(2^200060+172282)/260224Stefano Morozzi10/2019
9867(2^200058+49774)/260224Stefano Morozzi10/2019
9868(2^200059+33366)/260224Stefano Morozzi10/2019
9869(2^200051+112938)/260222Stefano Morozzi10/2019
9870(2^200051+126018)/260222Stefano Morozzi10/2019
9871(2^200052+23146)/260222Stefano Morozzi10/2019
9872(2^200049+79670)/260221Stefano Morozzi10/2019
9873(2^200050+173734)/260221Stefano Morozzi10/2019
9874(2^200048+55026)/260221Stefano Morozzi10/2019
9875(2^200050+12862)/260221Stefano Morozzi10/2019
9876(2^200045+128882)/260220Stefano Morozzi10/2019
9877(2^200047+166826)/260220Stefano Morozzi10/2019
9878(2^200047+55586)/260220Stefano Morozzi10/2019
9879(2^200042+171738)/260219Stefano Morozzi10/2019
9880(2^200044+67210)/260219Stefano Morozzi10/2019
9881(2^200041+58170)/260219Stefano Morozzi10/2019
9882(2^200042+18922)/260219Stefano Morozzi10/2019
9883(2^200039+198006)/260218Stefano Morozzi10/2019
9884(2^200040+176062)/260218Stefano Morozzi10/2019
9885(2^200037+128634)/260217Stefano Morozzi10/2019
9886(2^200036+40398)/260217Stefano Morozzi10/2019
988820^46283-192360216Enzo Doria03/2013
9887(2^200032+142078)/260216Stefano Morozzi10/2019
9889(2^200028+38538)/260215Stefano Morozzi10/2019
9890(2^200025+107226)/260214Stefano Morozzi10/2019
9891(2^200027+86370)/260214Stefano Morozzi10/2019
9892(2^200027+95298)/260214Stefano Morozzi10/2019
9893(2^200023+172598)/260213Stefano Morozzi10/2019
9894(2^200021+47130)/260213Stefano Morozzi10/2019
9895(2^200019+115818)/260212Stefano Morozzi10/2019
9896(2^200020+163890)/260212Stefano Morozzi10/2019
9897(2^200015+173874)/260211Stefano Morozzi10/2019
9898(2^200016+42670)/260211Stefano Morozzi10/2019
9899(2^200017+48230)/260211Stefano Morozzi10/2019
99052^200011-11207560210Enzo Doria05/2014
9900(2^200011+128298)/260210Stefano Morozzi10/2019
9901(2^200012+162910)/260210Stefano Morozzi10/2019
9902(2^200014+146950)/260210Stefano Morozzi10/2019
9903(2^200014+199350)/260210Stefano Morozzi10/2019
9904(2^200011+31538)/260210Stefano Morozzi10/2019
9906(2^200008+160042)/260209Stefano Morozzi10/2019
9907(2^200008+167290)/260209Stefano Morozzi10/2019
9908(2^200008+59622)/260209Stefano Morozzi10/2019
9909(2^200005+192482)/260208Stefano Morozzi10/2019
9910(2^200007+185958)/260208Stefano Morozzi10/2019
9911(2^200007+10154)/260208Stefano Morozzi10/2019
99132^200002+7453960207Enzo Doria04/2016
9912(2^200003+149078)/260207Stefano Morozzi10/2019
9914(2^199998+108354)/260206Stefano Morozzi09/2019
9915(2^199999+79430)/260206Stefano Morozzi09/2019
9916(2^200000+57846)/260206Stefano Morozzi09/2019
9917(2^200001+171810)/260206Stefano Morozzi10/2019
9918(2^200001+172250)/260206Stefano Morozzi10/2019
9919(2^199995+44966)/260205Stefano Morozzi09/2019
9920(2^199996+107922)/260205Stefano Morozzi09/2019
9921(2^199997+52026)/260205Stefano Morozzi09/2019
9922(2^199993+148290)/260204Stefano Morozzi09/2019
9923(2^199994+199890)/260204Stefano Morozzi09/2019
9925(38602791*2^200026-1)/(577849*2645749*3427009)60203Jens K. Andersen09/2007
9924(2^199988+55810)/260203Stefano Morozzi09/2019
9926(2^199985+126522)/260202Stefano Morozzi09/2019
9927(2^199987+47994)/260202Stefano Morozzi09/2019
9928(2^199987+134366)/260202Stefano Morozzi09/2019
9929(2^199982+63610)/260201Stefano Morozzi09/2019
9930(2^199979+52778)/260200Stefano Morozzi09/2019
9931(2^199977+44262)/260199Stefano Morozzi09/2019
9932(2^199977+115050)/260199Stefano Morozzi09/2019
9933(2^199972+190926)/260198Stefano Morozzi09/2019
9934(2^199968+148558)/260197Stefano Morozzi09/2019
9935(2^199968+198550)/260197Stefano Morozzi09/2019
9936(2^199969+96602)/260197Stefano Morozzi09/2019
9937(2^199965+35730)/260196Stefano Morozzi09/2019
9938(2^199965+59034)/260196Stefano Morozzi09/2019
9939(2^199966+74358)/260196Stefano Morozzi09/2019
9940(2^199966+198454)/260196Stefano Morozzi09/2019
9942(2^199962+28410)/260195Stefano Morozzi08/2019
9941(2^199964+149802)/260195Stefano Morozzi09/2019
9943(2^199959+111230)/260194Stefano Morozzi09/2019
9944(2^199961+64542)/260194Stefano Morozzi09/2019
9945(2^199955+48474)/260193Stefano Morozzi09/2019
9946(2^199955+138374)/260193Stefano Morozzi09/2019
9947(2^199957+123542)/260193Stefano Morozzi09/2019
9948(2^199952+131406)/260192Stefano Morozzi09/2019
9949(2^199953+162582)/260192Stefano Morozzi09/2019
9954(2^199949+6354)/260191Stefano Morozzi08/2019
9950(2^199950+78394)/260191Stefano Morozzi09/2019
9951(2^199951+58170)/260191Stefano Morozzi09/2019
9952(2^199951+68298)/260191Stefano Morozzi09/2019
9953(2^199951+109106)/260191Stefano Morozzi09/2019
9955(2^199946+11802)/260190Stefano Morozzi08/2019
9956(2^199947+31490)/260190Stefano Morozzi08/2019
9957(2^199946+136518)/260190Stefano Morozzi09/2019
9958(2^199942+198082)/260189Stefano Morozzi09/2019
9959(2^199938+66598)/260188Stefano Morozzi09/2019
9960(2^199932+63450)/260186Stefano Morozzi09/2019
9961(2^199932+125646)/260186Stefano Morozzi09/2019
9962(2^199933+182610)/260186Stefano Morozzi09/2019
9963(2^199933+191534)/260186Stefano Morozzi09/2019
9964(2^199931+94770)/260185Stefano Morozzi09/2019
9965(2^199923+31266)/260183Stefano Morozzi08/2019
9966(2^199918+80982)/260182Stefano Morozzi09/2019
9967(2^199918+97722)/260182Stefano Morozzi09/2019
9968(2^199918+184878)/260182Stefano Morozzi09/2019
9969(2^199919+47630)/260182Stefano Morozzi09/2019
9970(2^199919+49226)/260182Stefano Morozzi09/2019
9971(2^199921+81774)/260182Stefano Morozzi09/2019
9973(28*10^60180+149)/360181Robert Price10/2017
9972(2^199915+174486)/260181Stefano Morozzi09/2019
9974(2^199912+192706)/260180Stefano Morozzi09/2019
9976(2^199911+13346)/260179Stefano Morozzi08/2019
9975(2^199909+185310)/260179Stefano Morozzi09/2019
9977(2^199907+1470)/260178Stefano Morozzi07/2019
9978(2^199906+76450)/260178Stefano Morozzi09/2019
9981(2^199903+4406)/260177Stefano Morozzi08/2019
9982(2^199904+11998)/260177Stefano Morozzi08/2019
9983(2^199904+16038)/260177Stefano Morozzi08/2019
9979(2^199902+67282)/260177Stefano Morozzi09/2019
9980(2^199904+119802)/260177Stefano Morozzi09/2019
9984(2^199899+129554)/260176Stefano Morozzi09/2019
9985(2^199899+194286)/260176Stefano Morozzi09/2019
9986(2^199900+150142)/260176Stefano Morozzi09/2019
9987(2^199901+38226)/260176Stefano Morozzi09/2019
9990(2^199895+22994)/260175Stefano Morozzi08/2019
9991(2^199896+22582)/260175Stefano Morozzi08/2019
9988(2^199897+84206)/260175Stefano Morozzi09/2019
9989(2^199897+130026)/260175Stefano Morozzi09/2019
9992(2^199894+192622)/260174Stefano Morozzi09/2019
9996(2^199887+3914)/260172Stefano Morozzi08/2019
9993(2^199885+144290)/260172Stefano Morozzi09/2019
9994(2^199885+151050)/260172Stefano Morozzi09/2019
9995(2^199886+128322)/260172Stefano Morozzi09/2019
9997(2^199883+46886)/260171Stefano Morozzi09/2019
9998(2^199883+117930)/260171Stefano Morozzi09/2019
9999(2^199884+45726)/260171Stefano Morozzi09/2019
10000(2^199884+92982)/260171Stefano Morozzi09/2019


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: October, 13 2019 10:51 (Time in France)

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