PRP Records

Probable Primes Top 10000

(300940 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 ?
75012^346923-19585104435Enzo Doria05/2013
75022^346921+59357104434Stefano Morozzi11/2024
75032^346916+18183104433Stefano Morozzi11/2024
75042^346914+44625104432Stefano Morozzi11/2024
75052^346912+26343104431Stefano Morozzi11/2024
75062^346912+42367104431Stefano Morozzi11/2024
75072^346908+123705104430Stefano Morozzi11/2024
75082^346899+194015104428Stefano Morozzi11/2024
75092^346900+63393104428Stefano Morozzi11/2024
75102^346901+106215104428Stefano Morozzi11/2024
75112^346901+119309104428Stefano Morozzi11/2024
75122^346902+62587104428Stefano Morozzi11/2024
75132^346897+120207104427Stefano Morozzi11/2024
75142^346897+121107104427Stefano Morozzi11/2024
75152^346897+134289104427Stefano Morozzi11/2024
75162^346898+57429104427Stefano Morozzi11/2024
75172^346898+162267104427Stefano Morozzi11/2024
75182^346890+148989104425Stefano Morozzi11/2024
75192^346891+46313104425Stefano Morozzi11/2024
75202^346892+121191104425Stefano Morozzi11/2024
75212^346888+39211104424Stefano Morozzi11/2024
75222^346883+100949104423Stefano Morozzi11/2024
75232^346883+138341104423Stefano Morozzi11/2024
75242^346885+78357104423Stefano Morozzi11/2024
75252^346882+167169104422Stefano Morozzi11/2024
75262^346877+43587104421Stefano Morozzi11/2024
75272^346879+69983104421Stefano Morozzi11/2024
75282^346875+24885104420Stefano Morozzi11/2024
75292^346875+131835104420Stefano Morozzi11/2024
75302^346875+161301104420Stefano Morozzi11/2024
75312^346871+85491104419Stefano Morozzi11/2024
75322^346866+135849104418Stefano Morozzi11/2024
75332^346868+445104418Stefano Morozzi11/2024
75342^346868+111637104418Stefano Morozzi11/2024
75352^346864+104917104417Stefano Morozzi11/2024
7537(11*2^346864-1)/175104416Lelio R Paula03/2014
75362^346862+60109104416Stefano Morozzi11/2024
75382^346857+43607104415Stefano Morozzi11/2024
75392^346857+142719104415Stefano Morozzi11/2024
75432^346854+346854^2+1104414Robert Price06/2014
75402^346853+29051104414Stefano Morozzi11/2024
75412^346855+3549104414Stefano Morozzi11/2024
75422^346855+194849104414Stefano Morozzi11/2024
75442^346850+34423104413Stefano Morozzi11/2024
75452^346851+95235104413Stefano Morozzi11/2024
75462^346846+99883104412Stefano Morozzi11/2024
75472^346846+146089104412Stefano Morozzi11/2024
75482^346848+14577104412Stefano Morozzi11/2024
75492^346848+38901104412Stefano Morozzi11/2024
75502^346849+94107104412Stefano Morozzi11/2024
75512^346843+112473104411Stefano Morozzi11/2024
75522^346845+186035104411Stefano Morozzi11/2024
75532^346841+146711104410Stefano Morozzi11/2024
75542^346839+59931104409Stefano Morozzi11/2024
75552^346834+11715104408Lelio R Paula04/2015
75562^346830+73129104407Stefano Morozzi11/2024
75572^346832+168607104407Stefano Morozzi11/2024
75582^346832+179253104407Stefano Morozzi11/2024
75592^346826+73969104406Stefano Morozzi11/2024
75602^346827+122901104406Stefano Morozzi11/2024
75612^346823+36191104405Stefano Morozzi11/2024
75622^346823+185955104405Stefano Morozzi11/2024
75632^346825+3297104405Stefano Morozzi11/2024
75642^346822+74757104404Stefano Morozzi11/2024
75652^346822+160495104404Stefano Morozzi11/2024
75662^346816+146085104403Stefano Morozzi11/2024
75672^346816+158707104403Stefano Morozzi11/2024
75682^346818+26689104403Stefano Morozzi11/2024
75692^346818+69805104403Stefano Morozzi11/2024
75702^346818+83899104403Stefano Morozzi11/2024
75712^346818+110299104403Stefano Morozzi11/2024
75722^346818+182793104403Stefano Morozzi11/2024
75732^346819+95351104403Stefano Morozzi11/2024
75742^346814+136243104402Stefano Morozzi11/2024
75752^346814+188649104402Stefano Morozzi11/2024
75762^346810+106309104401Stefano Morozzi11/2024
75772^346807+86769104400Stefano Morozzi11/2024
75782^346808+114975104400Stefano Morozzi11/2024
75792^346809+61035104400Stefano Morozzi11/2024
75802^346803+10845104399Stefano Morozzi11/2024
75812^346803+110705104399Stefano Morozzi11/2024
75822^346804+134761104399Stefano Morozzi11/2024
75832^346800+137791104398Stefano Morozzi11/2024
75842^346797+109589104397Stefano Morozzi11/2024
75852^346798+91909104397Stefano Morozzi11/2024
75862^346798+163029104397Stefano Morozzi11/2024
75872^346793+62669104396Stefano Morozzi11/2024
75882^346793+189081104396Stefano Morozzi11/2024
75892^346794+109095104396Stefano Morozzi11/2024
75902^346796+57285104396Stefano Morozzi11/2024
75912^346791+184833104395Stefano Morozzi11/2024
75922^346787+81005104394Stefano Morozzi11/2024
75932^346787+81605104394Stefano Morozzi11/2024
75942^346789+2015104394Stefano Morozzi11/2024
75952^346789+19595104394Stefano Morozzi11/2024
75962^346784+84771104393Stefano Morozzi11/2024
75972^346784+124243104393Stefano Morozzi11/2024
75982^346784+143707104393Stefano Morozzi11/2024
75992^346786+66117104393Stefano Morozzi11/2024
76002^346786+194725104393Stefano Morozzi11/2024
760424276^19961+19961^24276104392Hans Havermann09/2020
76012^346780+81517104392Stefano Morozzi11/2024
76022^346780+121341104392Stefano Morozzi11/2024
76032^346780+171943104392Stefano Morozzi11/2024
76052^346777+28991104391Stefano Morozzi11/2024
76062^346777+110021104391Stefano Morozzi11/2024
76072^346778+53769104391Stefano Morozzi11/2024
76082^346779+134115104391Stefano Morozzi11/2024
76092^346779+172961104391Stefano Morozzi11/2024
76102^346773+81797104390Stefano Morozzi11/2024
76112^346774+164119104390Stefano Morozzi11/2024
76122^346775+72063104390Stefano Morozzi11/2024
76132^346775+197315104390Stefano Morozzi11/2024
76142^346776+32233104390Stefano Morozzi11/2024
76152^346776+187777104390Stefano Morozzi11/2024
76162^346770+98719104389Stefano Morozzi11/2024
76172^346770+110437104389Stefano Morozzi11/2024
76182^346771+1205104389Stefano Morozzi11/2024
76192^346771+3465104389Stefano Morozzi11/2024
76202^346771+129543104389Stefano Morozzi11/2024
76212^346772+41143104389Stefano Morozzi11/2024
76222^346772+69865104389Stefano Morozzi11/2024
76232^346767+168441104388Stefano Morozzi11/2024
76242^346768+37897104388Stefano Morozzi11/2024
76252^346768+80977104388Stefano Morozzi11/2024
76262^346769+158745104388Stefano Morozzi11/2024
763279^55009+78104387Norbert Schneider02/2015
76272^346763+14723104387Stefano Morozzi11/2024
76282^346763+90743104387Stefano Morozzi11/2024
76292^346764+95503104387Stefano Morozzi11/2024
76302^346766+31645104387Stefano Morozzi11/2024
76312^346766+51115104387Stefano Morozzi11/2024
76332^346760+90225104386Stefano Morozzi11/2024
76342^346762+31825104386Stefano Morozzi11/2024
76352^346762+192817104386Stefano Morozzi11/2024
76362^346757+97691104385Stefano Morozzi11/2024
76372^346758+111415104385Stefano Morozzi11/2024
76382^346759+86331104385Stefano Morozzi11/2024
76392^346755+22085104384Stefano Morozzi11/2024
76402^346750+140967104383Stefano Morozzi11/2024
76412^346751+48515104383Stefano Morozzi11/2024
76422^346751+74481104383Stefano Morozzi11/2024
76432^346752+103497104383Stefano Morozzi11/2024
76442^346747+4589104382Stefano Morozzi11/2024
76452^346747+29969104382Stefano Morozzi11/2024
76462^346747+130973104382Stefano Morozzi11/2024
76472^346748+184387104382Stefano Morozzi11/2024
76482^346743+39545104381Stefano Morozzi11/2024
76492^346743+61335104381Stefano Morozzi11/2024
76502^346746+99025104381Stefano Morozzi11/2024
76512^346737+39431104379Stefano Morozzi11/2024
76522^346733+96437104378Stefano Morozzi11/2024
76532^346736+83025104378Stefano Morozzi11/2024
76542^346736+196405104378Stefano Morozzi11/2024
76552^346732+72685104377Stefano Morozzi11/2024
76562^346727+86903104376Stefano Morozzi11/2024
76572^346727+89829104376Stefano Morozzi11/2024
76582^346729+199319104376Stefano Morozzi11/2024
76592^346723+73521104375Stefano Morozzi11/2024
76602^346724+91177104375Stefano Morozzi11/2024
76612^346726+191527104375Stefano Morozzi11/2024
76622^346720+235104374Stefano Morozzi11/2024
76632^346720+189435104374Stefano Morozzi11/2024
76642^346718+124833104373Stefano Morozzi11/2024
76652^346718+127029104373Stefano Morozzi11/2024
76662^346719+129291104373Stefano Morozzi11/2024
76672^346719+183033104373Stefano Morozzi11/2024
76682^346714+81909104372Stefano Morozzi11/2024
76692^346714+174493104372Stefano Morozzi11/2024
76702^346716+174123104372Stefano Morozzi11/2024
76712^346711+160659104371Stefano Morozzi11/2024
76722^346710+143649104371Stefano Morozzi11/2024
76732^346712+52063104371Stefano Morozzi11/2024
76742^346707+27099104370Stefano Morozzi11/2024
76752^346708+26217104370Stefano Morozzi11/2024
76762^346708+165715104370Stefano Morozzi11/2024
76772^346705+6581104369Stefano Morozzi11/2024
76782^346705+39851104369Stefano Morozzi11/2024
76792^346706+172963104369Stefano Morozzi11/2024
76823^218744+58104368Lelio R Paula11/2016
76802^346700+191515104368Stefano Morozzi11/2024
76812^346701+164841104368Stefano Morozzi11/2024
76832^346694+20437104366Stefano Morozzi11/2024
76842^346694+131557104366Stefano Morozzi11/2024
76852^346695+6795104366Stefano Morozzi11/2024
76862^346691+158613104365Stefano Morozzi11/2024
76872^346692+122623104365Stefano Morozzi11/2024
76882^346687+188033104364Stefano Morozzi11/2024
76892^346688+71005104364Stefano Morozzi11/2024
76902^346688+89811104364Stefano Morozzi11/2024
76912^346688+122115104364Stefano Morozzi11/2024
76922^346689+100829104364Stefano Morozzi11/2024
76932^346689+172847104364Stefano Morozzi11/2024
76942^346685+136145104363Stefano Morozzi11/2024
76979*10^104361+89104362Robert Price11/2019
76952^346681+58601104362Stefano Morozzi11/2024
76962^346681+186111104362Stefano Morozzi11/2024
76982^346676+82285104360Stefano Morozzi11/2024
76992^346670+69985104359Stefano Morozzi11/2024
77002^346672+85371104359Stefano Morozzi11/2024
77012^346673+47231104359Stefano Morozzi11/2024
770725048^14665+14665^25048104358Hans Havermann09/2020
77022^346667+84359104358Stefano Morozzi11/2024
77032^346668+26391104358Stefano Morozzi11/2024
77042^346668+138987104358Stefano Morozzi11/2024
77052^346669+27735104358Stefano Morozzi11/2024
77062^346669+33989104358Stefano Morozzi11/2024
77082^346664+16377104357Stefano Morozzi11/2024
77092^346666+29595104357Stefano Morozzi11/2024
77102^346660+61095104356Stefano Morozzi11/2024
77112^346661+114311104356Stefano Morozzi11/2024
77122^346662+75745104356Stefano Morozzi11/2024
77132^346663+123305104356Stefano Morozzi11/2024
77142^346662+150475104356Stefano Morozzi11/2024
77152^346658+28393104355Stefano Morozzi11/2024
77162^346658+137619104355Stefano Morozzi11/2024
77172^346659+86415104355Stefano Morozzi11/2024
77182^346659+117849104355Stefano Morozzi11/2024
77192^346655+199859104354Stefano Morozzi11/2024
77202^346656+100627104354Stefano Morozzi11/2024
77212^346651+88491104353Stefano Morozzi11/2024
77222^346652+32971104353Stefano Morozzi11/2024
77232^346652+85321104353Stefano Morozzi11/2024
77242^346652+100627104353Stefano Morozzi11/2024
77252^346652+190255104353Stefano Morozzi11/2024
77262^346652+194667104353Stefano Morozzi11/2024
77272^346652+197073104353Stefano Morozzi11/2024
77312^346649+65104352Lelio R Paula09/2011
77282^346647+128475104352Stefano Morozzi11/2024
77292^346647+181169104352Stefano Morozzi11/2024
77302^346648+97381104352Stefano Morozzi11/2024
7732(19*33^68718-600883)/32104350Eric Chen05/2023
77332^346640+73723104350Stefano Morozzi11/2024
77342^346641+169667104350Stefano Morozzi11/2024
77352^346642+100395104350Stefano Morozzi11/2024
77362^346643+61025104350Stefano Morozzi11/2024
77372^346643+160785104350Stefano Morozzi11/2024
77392^346638-17265104349Enzo Doria05/2013
77382^346637+34139104349Stefano Morozzi11/2024
77402^346635+13071104348Stefano Morozzi11/2024
77412^346630+66003104347Stefano Morozzi11/2024
77422^346630+187137104347Stefano Morozzi11/2024
77432^346631+27393104347Stefano Morozzi11/2024
77442^346632+21883104347Stefano Morozzi11/2024
77452^346632+136015104347Stefano Morozzi11/2024
77462^346628+87907104346Stefano Morozzi11/2024
77472^346624+174075104345Stefano Morozzi11/2024
77482^346620+87451104344Stefano Morozzi11/2024
77492^346622+12247104344Stefano Morozzi11/2024
77502^346623+69161104344Stefano Morozzi11/2024


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: February, 10 2025 11:16 (Time in France)

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