PRP Records

Probable Primes Top 10000

(255312 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(2^200333+139262)/260306Stefano Morozzi10/2019
9752(2^200330+41878)/260306Stefano Morozzi10/2019
9753(2^200333+41166)/260306Stefano Morozzi10/2019
9754(2^200327+129626)/260305Stefano Morozzi10/2019
9755(2^200328+50662)/260305Stefano Morozzi10/2019
975910103^15059-10660304Enzo Doria07/2012
9756(2^200325+52154)/260304Stefano Morozzi10/2019
9757(2^200326+3238)/260304Stefano Morozzi10/2019
9758(2^200326+23422)/260304Stefano Morozzi10/2019
9760(2^200322+148230)/260303Stefano Morozzi10/2019
9761(2^200323+100250)/260303Stefano Morozzi10/2019
9762(2^200323+197526)/260303Stefano Morozzi10/2019
9763(2^200321+3674)/260303Stefano Morozzi10/2019
9764(2^200314+110398)/260301Stefano Morozzi10/2019
9765(2^200313+190530)/260300Stefano Morozzi10/2019
9766(2^200307+152978)/260299Stefano Morozzi10/2019
9767(2^200307+177294)/260299Stefano Morozzi10/2019
9768(2^200308+95418)/260299Stefano Morozzi10/2019
9769(2^200308+108178)/260299Stefano Morozzi10/2019
9770(2^200304+197002)/260298Stefano Morozzi10/2019
97742^200301-1740160297Enzo Doria05/2013
9771(2^200300+14182)/260297Stefano Morozzi10/2019
9772(2^200300+48418)/260297Stefano Morozzi10/2019
9773(2^200303+44490)/260297Stefano Morozzi10/2019
9775(2^200298+71802)/260296Stefano Morozzi10/2019
9776(2^200298+119158)/260296Stefano Morozzi10/2019
9777(2^200291+102510)/260294Stefano Morozzi10/2019
9778(2^200293+70686)/260294Stefano Morozzi10/2019
9779(2^200292+29946)/260294Stefano Morozzi10/2019
9780(2^200288+182022)/260293Stefano Morozzi10/2019
9781(2^200289+165930)/260293Stefano Morozzi10/2019
9782(2^200286+44454)/260292Stefano Morozzi10/2019
9787(37*10^60290+71)/960291Robert Price04/2015
9783(2^200281+114930)/260291Stefano Morozzi10/2019
9784(2^200281+124830)/260291Stefano Morozzi10/2019
9785(2^200283+141314)/260291Stefano Morozzi10/2019
9786(2^200281+20442)/260291Stefano Morozzi10/2019
9788(2^200277+190290)/260290Stefano Morozzi10/2019
9789(2^200278+133098)/260290Stefano Morozzi10/2019
9790(2^200277+48410)/260290Stefano Morozzi10/2019
9791(2^200275+140946)/260289Stefano Morozzi10/2019
9792(2^200275+169154)/260289Stefano Morozzi10/2019
9793(2^200276+151750)/260289Stefano Morozzi10/2019
9794(2^200276+158758)/260289Stefano Morozzi10/2019
9795(2^200271+118274)/260288Stefano Morozzi10/2019
98002^200266-9439560287Lelio R Paula09/2011
9796(2^200268+127710)/260287Stefano Morozzi10/2019
9797(2^200269+171570)/260287Stefano Morozzi10/2019
9798(2^200269+176910)/260287Stefano Morozzi10/2019
9799(2^200267+54654)/260287Stefano Morozzi10/2019
9801(2^200265+87522)/260286Stefano Morozzi10/2019
9802(2^200266+136350)/260286Stefano Morozzi10/2019
98082^200261-11161360285Enzo Doria05/2014
9803(2^200261+170330)/260285Stefano Morozzi10/2019
9804(2^200261+194066)/260285Stefano Morozzi10/2019
9805(2^200262+141990)/260285Stefano Morozzi10/2019
9806(2^200261+58974)/260285Stefano Morozzi10/2019
9807(2^200263+57134)/260285Stefano Morozzi10/2019
9809(2^200260+9642)/260284Stefano Morozzi10/2019
9810(2^200255+2946)/260283Stefano Morozzi10/2019
9811(2^200256+34882)/260283Stefano Morozzi10/2019
9812(2^200253+95862)/260282Stefano Morozzi10/2019
9813(2^200248+100090)/260281Stefano Morozzi10/2019
9814(2^200248+158622)/260281Stefano Morozzi10/2019
9815(2^200249+190026)/260281Stefano Morozzi10/2019
982113717^14570-14570^1371760280Norbert Schneider01/2019
9816(2^200244+87090)/260280Stefano Morozzi10/2019
9817(2^200244+125350)/260280Stefano Morozzi10/2019
9818(2^200244+144982)/260280Stefano Morozzi10/2019
9819(2^200245+87230)/260280Stefano Morozzi10/2019
9820(2^200246+107898)/260280Stefano Morozzi10/2019
9822(2^200242+129382)/260279Stefano Morozzi10/2019
9823(2^200243+12254)/260279Stefano Morozzi10/2019
9824(2^200243+27678)/260279Stefano Morozzi10/2019
9825(2^200240+127002)/260278Stefano Morozzi10/2019
9826(2^200240+140806)/260278Stefano Morozzi10/2019
9827(2^200240+196438)/260278Stefano Morozzi10/2019
9828(2^200238+53838)/260278Stefano Morozzi10/2019
9829(2^200235+70298)/260277Stefano Morozzi10/2019
9830(2^200234+24750)/260277Stefano Morozzi10/2019
9831(2^200231+137970)/260276Stefano Morozzi10/2019
9832(2^200229+173010)/260275Stefano Morozzi10/2019
9833(2^200225+176174)/260274Stefano Morozzi10/2019
9834(2^200226+110674)/260274Stefano Morozzi10/2019
9835(2^200226+114342)/260274Stefano Morozzi10/2019
9836(2^200221+116762)/260273Stefano Morozzi10/2019
9837(2^200223+178550)/260273Stefano Morozzi10/2019
9838(2^200223+59754)/260273Stefano Morozzi10/2019
9839(2^200219+76370)/260272Stefano Morozzi10/2019
9840(2^200219+11594)/260272Stefano Morozzi10/2019
9841(2^200220+32842)/260272Stefano Morozzi10/2019
9842(2^200216+142758)/260271Stefano Morozzi10/2019
9843(2^200216+159690)/260271Stefano Morozzi10/2019
9844(2^200214+51738)/260271Stefano Morozzi10/2019
9845(2^200215+7010)/260271Stefano Morozzi10/2019
9846(2^200216+4978)/260271Stefano Morozzi10/2019
9847(2^200216+39310)/260271Stefano Morozzi10/2019
9848(2^200213+111474)/260270Stefano Morozzi10/2019
9849(2^200207+164486)/260269Stefano Morozzi10/2019
9850(2^200208+144162)/260269Stefano Morozzi10/2019
9851(2^200209+168666)/260269Stefano Morozzi10/2019
9852(2^200210+88018)/260269Stefano Morozzi10/2019
9853(2^200206+180634)/260268Stefano Morozzi10/2019
9854(2^200201+191774)/260267Stefano Morozzi10/2019
9855(2^200201+193586)/260267Stefano Morozzi10/2019
9856(2^200203+75746)/260267Stefano Morozzi10/2019
9857(2^200201+59606)/260267Stefano Morozzi10/2019
9858(2^200203+31338)/260267Stefano Morozzi10/2019
9859(2^200199+138458)/260266Stefano Morozzi10/2019
9860(2^200199+179918)/260266Stefano Morozzi10/2019
9861(2^200199+26730)/260266Stefano Morozzi10/2019
9862(2^200194+184974)/260265Stefano Morozzi10/2019
9863(2^200194+186322)/260265Stefano Morozzi10/2019
9864(2^200196+177622)/260265Stefano Morozzi10/2019
9865(2^200196+196870)/260265Stefano Morozzi10/2019
98682^200191-459760264Yves Minet03/2019
9866(2^200191+152034)/260264Stefano Morozzi10/2019
9867(2^200192+165402)/260264Stefano Morozzi10/2019
9869(2^200189+154554)/260263Stefano Morozzi10/2019
9870(2^200189+34970)/260263Stefano Morozzi10/2019
9871(2^200185+184986)/260262Stefano Morozzi10/2019
9872(2^200184+37182)/260262Stefano Morozzi10/2019
9873(2^200185+38586)/260262Stefano Morozzi10/2019
9874(2^200181+141774)/260261Stefano Morozzi10/2019
9875(2^200181+168626)/260261Stefano Morozzi10/2019
9876(2^200183+84590)/260261Stefano Morozzi10/2019
9877(2^200183+98798)/260261Stefano Morozzi10/2019
9878(2^200182+39810)/260261Stefano Morozzi10/2019
9879(2^200178+66234)/260260Stefano Morozzi10/2019
9880(2^200178+121950)/260260Stefano Morozzi10/2019
9881(2^200179+171866)/260260Stefano Morozzi10/2019
9882(2^200180+182142)/260260Stefano Morozzi10/2019
9883(2^200178+34534)/260260Stefano Morozzi10/2019
9884(2^200174+61570)/260259Stefano Morozzi10/2019
9885(2^200177+19586)/260259Stefano Morozzi10/2019
9886(2^200177+34154)/260259Stefano Morozzi10/2019
9887(2^200171+169098)/260258Stefano Morozzi10/2019
9888(2^200171+178826)/260258Stefano Morozzi10/2019
9889(2^200173+126986)/260258Stefano Morozzi10/2019
989516282^5021+5021^1628260257Hans Havermann05/2019
9890(2^200169+104570)/260257Stefano Morozzi10/2019
9891(2^200169+137742)/260257Stefano Morozzi10/2019
9892(2^200170+81118)/260257Stefano Morozzi10/2019
9893(2^200170+29038)/260257Stefano Morozzi10/2019
9894(2^200170+46918)/260257Stefano Morozzi10/2019
989846^36238-4560256Norbert Schneider07/2014
9896(2^200164+147130)/260256Stefano Morozzi10/2019
9897(2^200166+89622)/260256Stefano Morozzi10/2019
990013^54091+9460255Lelio R Paula05/2013
9899(2^200161+192954)/260255Stefano Morozzi10/2019
9901(2^200159+74550)/260254Stefano Morozzi10/2019
9902(2^200160+76906)/260254Stefano Morozzi10/2019
9903(2^200160+12210)/260254Stefano Morozzi10/2019
9907311^24171-15460253Enzo Doria07/2012
9904(2^200154+185934)/260253Stefano Morozzi10/2019
9905(2^200157+128426)/260253Stefano Morozzi10/2019
9906(2^200154+60870)/260253Stefano Morozzi10/2019
9908(2^200151+164934)/260252Stefano Morozzi10/2019
9909(2^200153+145406)/260252Stefano Morozzi10/2019
9910(2^200148+112998)/260251Stefano Morozzi10/2019
9911(2^200148+122598)/260251Stefano Morozzi10/2019
9912(2^200148+134278)/260251Stefano Morozzi10/2019
9913(2^200149+185402)/260251Stefano Morozzi10/2019
9914(2^200150+14722)/260251Stefano Morozzi10/2019
9915(2^200143+83330)/260249Stefano Morozzi10/2019
9916(2^200141+41514)/260249Stefano Morozzi10/2019
9917(2^200139+76266)/260248Stefano Morozzi10/2019
9918(2^200140+87286)/260248Stefano Morozzi10/2019
9919(2^200140+132622)/260248Stefano Morozzi10/2019
9920(2^200140+31222)/260248Stefano Morozzi10/2019
9921(2^200135+77910)/260247Stefano Morozzi10/2019
9922(2^200137+148326)/260247Stefano Morozzi10/2019
9923(2^200136+24706)/260247Stefano Morozzi10/2019
9924(2^200128+187062)/260245Stefano Morozzi10/2019
9925(2^200129+125894)/260245Stefano Morozzi10/2019
9926(2^200130+85594)/260245Stefano Morozzi10/2019
9927(2^200125+86402)/260244Stefano Morozzi10/2019
9928(2^200124+58446)/260244Stefano Morozzi10/2019
99312^200120-8108960243Paul Bourdelais01/2012
99323^126262+868060243Lelio R Paula04/2013
9929(2^200122+9538)/260243Stefano Morozzi10/2019
9930(2^200123+46998)/260243Stefano Morozzi10/2019
9933(2^200119+70058)/260242Stefano Morozzi10/2019
9934(2^200120+142018)/260242Stefano Morozzi10/2019
9935(2^200120+175246)/260242Stefano Morozzi10/2019
9936(2^200111+81246)/260240Stefano Morozzi10/2019
9937(2^200113+106922)/260240Stefano Morozzi10/2019
9938(2^200113+193502)/260240Stefano Morozzi10/2019
9939(2^200113+48374)/260240Stefano Morozzi10/2019
994843031!3-5904960239Robert Price12/2015
9940(2^200108+94446)/260239Stefano Morozzi10/2019
9941(2^200108+128802)/260239Stefano Morozzi10/2019
9942(2^200109+154182)/260239Stefano Morozzi10/2019
9943(2^200110+117390)/260239Stefano Morozzi10/2019
9944(2^200110+180954)/260239Stefano Morozzi10/2019
9945(2^200108+5586)/260239Stefano Morozzi10/2019
9946(2^200108+10806)/260239Stefano Morozzi10/2019
9947(2^200110+16654)/260239Stefano Morozzi10/2019
9949(2^200105+109934)/260238Stefano Morozzi10/2019
9950(2^200106+74050)/260238Stefano Morozzi10/2019
9951(2^200106+83218)/260238Stefano Morozzi10/2019
99552^200100-11126960237Enzo Doria05/2014
9952(2^200101+77286)/260237Stefano Morozzi10/2019
9953(2^200103+105126)/260237Stefano Morozzi10/2019
9954(2^200103+4478)/260237Stefano Morozzi10/2019
9956(2^200095+86666)/260235Stefano Morozzi10/2019
9957(2^200096+138058)/260235Stefano Morozzi10/2019
9958(2^200096+181482)/260235Stefano Morozzi10/2019
9959(2^200097+72354)/260235Stefano Morozzi10/2019
9960(2^200097+140630)/260235Stefano Morozzi10/2019
9961(2^200091+88454)/260234Stefano Morozzi10/2019
9962(2^200091+141830)/260234Stefano Morozzi10/2019
9963(2^200092+161046)/260234Stefano Morozzi10/2019
9964(2^200093+66950)/260234Stefano Morozzi10/2019
9965(2^200093+144614)/260234Stefano Morozzi10/2019
9966(2^200094+135034)/260234Stefano Morozzi10/2019
9967(2^200091+7946)/260234Stefano Morozzi10/2019
9968(2^200089+194282)/260233Stefano Morozzi10/2019
9969(2^200086+160782)/260232Stefano Morozzi10/2019
9970(2^200087+143990)/260232Stefano Morozzi10/2019
9971(2^200084+77722)/260231Stefano Morozzi10/2019
9972(2^200084+153958)/260231Stefano Morozzi10/2019
9973(2^200082+16270)/260231Stefano Morozzi10/2019
9974(2^200084+922)/260231Stefano Morozzi10/2019
9975(2^200078+127590)/260230Stefano Morozzi10/2019
9976(2^200078+163462)/260230Stefano Morozzi10/2019
9977(2^200079+88454)/260230Stefano Morozzi10/2019
9978(2^200080+95542)/260230Stefano Morozzi10/2019
9979(2^200075+180618)/260229Stefano Morozzi10/2019
9980(2^200076+65542)/260229Stefano Morozzi10/2019
9981(2^200071+161886)/260228Stefano Morozzi10/2019
9982(2^200072+68070)/260228Stefano Morozzi10/2019
9983(2^200073+88182)/260228Stefano Morozzi10/2019
9984(2^200074+106302)/260228Stefano Morozzi10/2019
9985(2^200067+2574)/260226Stefano Morozzi10/2019
9989(29*2^200069-1)/537360225Lelio R Paula01/2014
9986(2^200061+136806)/260225Stefano Morozzi10/2019
9987(2^200061+166502)/260225Stefano Morozzi10/2019
9988(2^200062+55174)/260225Stefano Morozzi10/2019
9990(2^200060+172282)/260224Stefano Morozzi10/2019
9991(2^200058+49774)/260224Stefano Morozzi10/2019
9992(2^200059+33366)/260224Stefano Morozzi10/2019
9993(2^200051+112938)/260222Stefano Morozzi10/2019
9994(2^200051+126018)/260222Stefano Morozzi10/2019
9995(2^200052+23146)/260222Stefano Morozzi10/2019
9996(2^200049+79670)/260221Stefano Morozzi10/2019
9997(2^200050+173734)/260221Stefano Morozzi10/2019
9998(2^200048+55026)/260221Stefano Morozzi10/2019
9999(2^200050+12862)/260221Stefano Morozzi10/2019
10000(2^200045+128882)/260220Stefano Morozzi10/2019


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: December, 14 2019 11:13 (Time in France)

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