PRP Records

Probable Primes Top 10000

(255244 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 ?
9501(2^200558+91342)/260374Stefano Morozzi10/2019
9502(2^200558+166938)/260374Stefano Morozzi10/2019
9503(2^200559+166814)/260374Stefano Morozzi10/2019
9504(2^200559+187086)/260374Stefano Morozzi10/2019
9505(2^200556+41610)/260374Stefano Morozzi10/2019
9506(2^200557+62006)/260374Stefano Morozzi10/2019
9507(2^200558+44230)/260374Stefano Morozzi10/2019
9508(2^200553+126666)/260373Stefano Morozzi10/2019
9509(2^200554+147034)/260373Stefano Morozzi10/2019
9510(2^200555+153798)/260373Stefano Morozzi10/2019
9511(2^200554+25222)/260373Stefano Morozzi10/2019
9512(2^200550+127974)/260372Stefano Morozzi10/2019
9513(2^200550+8142)/260372Stefano Morozzi10/2019
9514(2^200547+86558)/260371Stefano Morozzi10/2019
9515(2^200548+132390)/260371Stefano Morozzi10/2019
9516(2^200543+195558)/260370Stefano Morozzi10/2019
9517(2^200544+120010)/260370Stefano Morozzi10/2019
9518(2^200545+120270)/260370Stefano Morozzi10/2019
9519(2^200545+178122)/260370Stefano Morozzi10/2019
9520(2^200545+189386)/260370Stefano Morozzi10/2019
9521(2^200545+191414)/260370Stefano Morozzi10/2019
9522(2^200543+41210)/260370Stefano Morozzi10/2019
9523(2^200543+45018)/260370Stefano Morozzi10/2019
9527(9913*2^200538-1)/380160369Lelio R Paula04/2015
9524(2^200541+83210)/260369Stefano Morozzi10/2019
9525(2^200541+88970)/260369Stefano Morozzi10/2019
9526(2^200542+87934)/260369Stefano Morozzi10/2019
9528(2^200537+43530)/260368Stefano Morozzi10/2019
9529(2^200531+118950)/260366Stefano Morozzi10/2019
9530(2^200526+81450)/260365Stefano Morozzi10/2019
9531(2^200527+158046)/260365Stefano Morozzi10/2019
9532(2^200529+87410)/260365Stefano Morozzi10/2019
9533(2^200523+180398)/260364Stefano Morozzi10/2019
9534(2^200524+194718)/260364Stefano Morozzi10/2019
9535(2^200525+126362)/260364Stefano Morozzi10/2019
9536(2^200525+7826)/260364Stefano Morozzi10/2019
9537(2^200520+115606)/260363Stefano Morozzi10/2019
9538(2^200522+84030)/260363Stefano Morozzi10/2019
9539(2^200518+109798)/260362Stefano Morozzi10/2019
9540(2^200517+6146)/260362Stefano Morozzi10/2019
9541(2^200513+96254)/260361Stefano Morozzi10/2019
9542(2^200515+60146)/260361Stefano Morozzi10/2019
9543(2^200512+94086)/260360Stefano Morozzi10/2019
9544(2^200511+22386)/260360Stefano Morozzi10/2019
9545(2^200506+99502)/260359Stefano Morozzi10/2019
9546(2^200506+117070)/260359Stefano Morozzi10/2019
9547(2^200507+135426)/260359Stefano Morozzi10/2019
9548(2^200507+136970)/260359Stefano Morozzi10/2019
9549(2^200504+138438)/260358Stefano Morozzi10/2019
9550(2^200505+184422)/260358Stefano Morozzi10/2019
9551(2^200501+70950)/260357Stefano Morozzi10/2019
9552(2^200501+182250)/260357Stefano Morozzi10/2019
9553(2^200498+161454)/260356Stefano Morozzi10/2019
9554(2^200499+108914)/260356Stefano Morozzi10/2019
9555(2^200497+36182)/260356Stefano Morozzi10/2019
9556(2^200499+42318)/260356Stefano Morozzi10/2019
9557(2^200493+68442)/260355Stefano Morozzi10/2019
9558(2^200494+70770)/260355Stefano Morozzi10/2019
9559(2^200494+186234)/260355Stefano Morozzi10/2019
9560(2^200494+40714)/260355Stefano Morozzi10/2019
9561(2^200490+192342)/260354Stefano Morozzi10/2019
9562(2^200492+196582)/260354Stefano Morozzi10/2019
9563(2^200492+51598)/260354Stefano Morozzi10/2019
9564(2^200487+67778)/260353Stefano Morozzi10/2019
9565(2^200487+104430)/260353Stefano Morozzi10/2019
9566(2^200487+164574)/260353Stefano Morozzi10/2019
9567(2^200487+188954)/260353Stefano Morozzi10/2019
9568(2^200483+104726)/260352Stefano Morozzi10/2019
9569(2^200484+82930)/260352Stefano Morozzi10/2019
9570(2^200483+38334)/260352Stefano Morozzi10/2019
95735^86342+6460351Lelio R Paula04/2013
9571(2^200480+163750)/260351Stefano Morozzi10/2019
9572(2^200480+33150)/260351Stefano Morozzi10/2019
957613088^14659-14659^1308860350Norbert Schneider03/2019
9574(2^200479+172598)/260350Stefano Morozzi10/2019
9575(2^200477+46890)/260350Stefano Morozzi10/2019
9577(2^200473+106262)/260349Stefano Morozzi10/2019
9578(2^200475+35214)/260349Stefano Morozzi10/2019
9579(2^200476+7102)/260349Stefano Morozzi10/2019
9580(2^200472+181302)/260348Stefano Morozzi10/2019
9581(2^200471+54906)/260348Stefano Morozzi10/2019
9582(2^200472+62046)/260348Stefano Morozzi10/2019
9585(14*10^60346-23)/960347Robert Price04/2015
9583(2^200469+74390)/260347Stefano Morozzi10/2019
9584(2^200468+62746)/260347Stefano Morozzi10/2019
959014633^13302+13302^1463360346Hans Havermann05/2019
9586(2^200463+141186)/260346Stefano Morozzi10/2019
9587(2^200463+160518)/260346Stefano Morozzi10/2019
9588(2^200466+94438)/260346Stefano Morozzi10/2019
9589(2^200466+190030)/260346Stefano Morozzi10/2019
959115008^10491+10491^1500860345Hans Havermann05/2019
9592(2^200460+77826)/260345Stefano Morozzi10/2019
95952^200457-829560344Lelio R Paula09/2011
9593(2^200457+126926)/260344Stefano Morozzi10/2019
9594(2^200458+74574)/260344Stefano Morozzi10/2019
95966^77546+11360343Lelio R Paula04/2013
9597(2^200453+178514)/260343Stefano Morozzi10/2019
9598(2^200455+185994)/260343Stefano Morozzi10/2019
9599(2^200451+115470)/260342Stefano Morozzi10/2019
9600(2^200450+45130)/260342Stefano Morozzi10/2019
9601(2^200451+57170)/260342Stefano Morozzi10/2019
9602(2^200448+68166)/260341Stefano Morozzi10/2019
9603(2^200448+75010)/260341Stefano Morozzi10/2019
9604(2^200447+24774)/260341Stefano Morozzi10/2019
9605(2^200448+42906)/260341Stefano Morozzi10/2019
9606(2^200444+120622)/260340Stefano Morozzi10/2019
9607(2^200445+168630)/260340Stefano Morozzi10/2019
9608(2^200446+64042)/260340Stefano Morozzi10/2019
9609(2^200446+68958)/260340Stefano Morozzi10/2019
9610(2^200443+8178)/260340Stefano Morozzi10/2019
9611(2^200441+187166)/260339Stefano Morozzi10/2019
9612(2^200437+87170)/260338Stefano Morozzi10/2019
9613(2^200437+62750)/260338Stefano Morozzi10/2019
9614(2^200438+5074)/260338Stefano Morozzi10/2019
9615(2^200438+39642)/260338Stefano Morozzi10/2019
9616(2^200434+30838)/260337Stefano Morozzi10/2019
9617(2^200435+11214)/260337Stefano Morozzi10/2019
9618(2^200435+25766)/260337Stefano Morozzi10/2019
9619(2^200432+96670)/260336Stefano Morozzi10/2019
9620(2^200430+16542)/260336Stefano Morozzi10/2019
9621(2^200428+71746)/260335Stefano Morozzi10/2019
9622(2^200424+79098)/260334Stefano Morozzi10/2019
9623(2^200424+121830)/260334Stefano Morozzi10/2019
9624(2^200424+128766)/260334Stefano Morozzi10/2019
9625(2^200426+63534)/260334Stefano Morozzi10/2019
9626(2^200421+98442)/260333Stefano Morozzi10/2019
9627(2^200420+16218)/260333Stefano Morozzi10/2019
9628(2^200420+28618)/260333Stefano Morozzi10/2019
9629(2^200417+41214)/260332Stefano Morozzi10/2019
963316026^5815+5815^1602660331Hans Havermann06/2019
9630(2^200413+89046)/260331Stefano Morozzi10/2019
9631(2^200413+90002)/260331Stefano Morozzi10/2019
9632(2^200416+72466)/260331Stefano Morozzi10/2019
9634(2^200411+117398)/260330Stefano Morozzi10/2019
9635(2^200412+162298)/260330Stefano Morozzi10/2019
9636(2^200412+188002)/260330Stefano Morozzi10/2019
9637(2^200411+25334)/260330Stefano Morozzi10/2019
9638(2^200408+69538)/260329Stefano Morozzi10/2019
9639(2^200408+84526)/260329Stefano Morozzi10/2019
9640(2^200408+106458)/260329Stefano Morozzi10/2019
9641(2^200409+90842)/260329Stefano Morozzi10/2019
9642(2^200406+64050)/260328Stefano Morozzi10/2019
9643(2^200406+134874)/260328Stefano Morozzi10/2019
9644(2^200400+69150)/260327Stefano Morozzi10/2019
9645(2^200400+7542)/260327Stefano Morozzi10/2019
9646(2^200393+93066)/260325Stefano Morozzi10/2019
9647(2^200393+162366)/260325Stefano Morozzi10/2019
9648(2^200393+183702)/260325Stefano Morozzi10/2019
9649(2^200395+22754)/260325Stefano Morozzi10/2019
9650(2^200395+34614)/260325Stefano Morozzi10/2019
9651(2^200390+73774)/260324Stefano Morozzi10/2019
9652(2^200391+7670)/260324Stefano Morozzi10/2019
9653(2^200392+4530)/260324Stefano Morozzi10/2019
9654(2^200388+149998)/260323Stefano Morozzi10/2019
9655(2^200389+149582)/260323Stefano Morozzi10/2019
9656(2^200388+13722)/260323Stefano Morozzi10/2019
9657(2^200386+148698)/260322Stefano Morozzi10/2019
9658(2^200385+23622)/260322Stefano Morozzi10/2019
9659(2^200386+44362)/260322Stefano Morozzi10/2019
9660(2^200383+178146)/260321Stefano Morozzi10/2019
9661(2^200378+97078)/260320Stefano Morozzi10/2019
9662(2^200378+152230)/260320Stefano Morozzi10/2019
9663(2^200379+197178)/260320Stefano Morozzi10/2019
9664(2^200377+47706)/260320Stefano Morozzi10/2019
9665(2^200374+154734)/260319Stefano Morozzi10/2019
9666(2^200370+73054)/260318Stefano Morozzi10/2019
9667(2^200371+14966)/260318Stefano Morozzi10/2019
9668(2^200367+99414)/260317Stefano Morozzi10/2019
9669(2^200369+38430)/260317Stefano Morozzi10/2019
9670(2^200364+151750)/260316Stefano Morozzi10/2019
9671(2^200364+165310)/260316Stefano Morozzi10/2019
9672(2^200365+153222)/260316Stefano Morozzi10/2019
9673(2^200366+81682)/260316Stefano Morozzi10/2019
967637^38461-36^3846160315Robert Price06/2012
96752^200361-1759360315Enzo Doria05/2013
9674(2^200360+117126)/260315Stefano Morozzi10/2019
9677(2^200358+191314)/260314Stefano Morozzi10/2019
9678(2^200359+87858)/260314Stefano Morozzi10/2019
9679(2^200350+198858)/260312Stefano Morozzi10/2019
9680(2^200352+175030)/260312Stefano Morozzi10/2019
9681(2^200352+46726)/260312Stefano Morozzi10/2019
9682(2^200347+101114)/260311Stefano Morozzi10/2019
9683(2^200348+190342)/260311Stefano Morozzi10/2019
9684(2^200349+143834)/260311Stefano Morozzi10/2019
9685(2^200348+49686)/260311Stefano Morozzi10/2019
9686(2^200344+79326)/260310Stefano Morozzi10/2019
9687(2^200340+195046)/260309Stefano Morozzi10/2019
9688(2^200342+177850)/260309Stefano Morozzi10/2019
9689(2^200342+16522)/260309Stefano Morozzi10/2019
9690(2^200338+191734)/260308Stefano Morozzi10/2019
9691(2^200334+35710)/260307Stefano Morozzi10/2019
9692(2^200334+37270)/260307Stefano Morozzi10/2019
9693(2^200330+151582)/260306Stefano Morozzi10/2019
9694(2^200331+185858)/260306Stefano Morozzi10/2019
9695(2^200333+139262)/260306Stefano Morozzi10/2019
9696(2^200330+41878)/260306Stefano Morozzi10/2019
9697(2^200333+41166)/260306Stefano Morozzi10/2019
9698(2^200327+129626)/260305Stefano Morozzi10/2019
9699(2^200328+50662)/260305Stefano Morozzi10/2019
970310103^15059-10660304Enzo Doria07/2012
9700(2^200325+52154)/260304Stefano Morozzi10/2019
9701(2^200326+3238)/260304Stefano Morozzi10/2019
9702(2^200326+23422)/260304Stefano Morozzi10/2019
9704(2^200322+148230)/260303Stefano Morozzi10/2019
9705(2^200323+100250)/260303Stefano Morozzi10/2019
9706(2^200323+197526)/260303Stefano Morozzi10/2019
9707(2^200321+3674)/260303Stefano Morozzi10/2019
9708(2^200314+110398)/260301Stefano Morozzi10/2019
9709(2^200313+190530)/260300Stefano Morozzi10/2019
9710(2^200307+152978)/260299Stefano Morozzi10/2019
9711(2^200307+177294)/260299Stefano Morozzi10/2019
9712(2^200308+95418)/260299Stefano Morozzi10/2019
9713(2^200308+108178)/260299Stefano Morozzi10/2019
9714(2^200304+197002)/260298Stefano Morozzi10/2019
97182^200301-1740160297Enzo Doria05/2013
9715(2^200300+14182)/260297Stefano Morozzi10/2019
9716(2^200300+48418)/260297Stefano Morozzi10/2019
9717(2^200303+44490)/260297Stefano Morozzi10/2019
9719(2^200298+71802)/260296Stefano Morozzi10/2019
9720(2^200298+119158)/260296Stefano Morozzi10/2019
9721(2^200291+102510)/260294Stefano Morozzi10/2019
9722(2^200293+70686)/260294Stefano Morozzi10/2019
9723(2^200292+29946)/260294Stefano Morozzi10/2019
9724(2^200288+182022)/260293Stefano Morozzi10/2019
9725(2^200289+165930)/260293Stefano Morozzi10/2019
9726(2^200286+44454)/260292Stefano Morozzi10/2019
9731(37*10^60290+71)/960291Robert Price04/2015
9727(2^200281+114930)/260291Stefano Morozzi10/2019
9728(2^200281+124830)/260291Stefano Morozzi10/2019
9729(2^200283+141314)/260291Stefano Morozzi10/2019
9730(2^200281+20442)/260291Stefano Morozzi10/2019
9732(2^200277+190290)/260290Stefano Morozzi10/2019
9733(2^200278+133098)/260290Stefano Morozzi10/2019
9734(2^200277+48410)/260290Stefano Morozzi10/2019
9735(2^200275+140946)/260289Stefano Morozzi10/2019
9736(2^200275+169154)/260289Stefano Morozzi10/2019
9737(2^200276+151750)/260289Stefano Morozzi10/2019
9738(2^200276+158758)/260289Stefano Morozzi10/2019
9739(2^200271+118274)/260288Stefano Morozzi10/2019
97442^200266-9439560287Lelio R Paula09/2011
9740(2^200268+127710)/260287Stefano Morozzi10/2019
9741(2^200269+171570)/260287Stefano Morozzi10/2019
9742(2^200269+176910)/260287Stefano Morozzi10/2019
9743(2^200267+54654)/260287Stefano Morozzi10/2019
9745(2^200265+87522)/260286Stefano Morozzi10/2019
9746(2^200266+136350)/260286Stefano Morozzi10/2019
9747(2^200261+170330)/260285Stefano Morozzi10/2019
9748(2^200261+194066)/260285Stefano Morozzi10/2019
9749(2^200262+141990)/260285Stefano Morozzi10/2019
9750(2^200261+58974)/260285Stefano Morozzi10/2019


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: November, 10 2019 12:07 (Time in France)

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