PRP Records

Probable Primes Top 10000

(301723 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 ?
85012^346204+127677104218Stefano Morozzi11/2024
85022^346204+19573104218Stefano Morozzi11/2024
85032^346204+161997104218Stefano Morozzi11/2024
85042^346204+152665104218Stefano Morozzi11/2024
85052^346199+90995104217Stefano Morozzi11/2024
85062^346199+189629104217Stefano Morozzi11/2024
85072^346200+159591104217Stefano Morozzi11/2024
85082^346195+19733104216Stefano Morozzi11/2024
85092^346196+141117104216Stefano Morozzi11/2024
85102^346196+195171104216Stefano Morozzi11/2024
85112^346197+113751104216Stefano Morozzi11/2024
85122^346198+95305104216Stefano Morozzi11/2024
85132^346198+106735104216Stefano Morozzi11/2024
851518^83021-91104214Lelio R Paula01/2017
85142^346189+194831104214Stefano Morozzi11/2024
851610^104212+128779104213Patrick De Geest05/2016
851710^104212+237447104213Patrick De Geest05/2016
851810^104212+242139104213Patrick De Geest05/2016
851910^104212+269199104213Patrick De Geest05/2016
852324254^19803+19803^24254104213Hans Havermann09/2020
85202^346186+93813104213Stefano Morozzi11/2024
85212^346186+153687104213Stefano Morozzi11/2024
85222^346187+102195104213Stefano Morozzi11/2024
8528(10^104212-71)/1104212Serge Batalov12/2014
85242^346182+118065104212Stefano Morozzi11/2024
85252^346184+155085104212Stefano Morozzi11/2024
85262^346184+187513104212Stefano Morozzi11/2024
85272^346184+188455104212Stefano Morozzi11/2024
85292^346180+82735104211Stefano Morozzi11/2024
85302^346180+160593104211Stefano Morozzi11/2024
85312^346180+192333104211Stefano Morozzi11/2024
85322^346181+199821104211Stefano Morozzi11/2024
85332^346176+123667104210Stefano Morozzi11/2024
85342^346178+37455104210Stefano Morozzi11/2024
85352^346178+95865104210Stefano Morozzi11/2024
85362^346178+159517104210Stefano Morozzi11/2024
85372^346174+12543104209Stefano Morozzi11/2024
85382^346169+56049104208Stefano Morozzi11/2024
85392^346169+118965104208Stefano Morozzi11/2024
85402^346170+31363104208Stefano Morozzi11/2024
85412^346165+61767104207Stefano Morozzi11/2024
85422^346166+189919104207Stefano Morozzi11/2024
85432^346167+41681104207Stefano Morozzi11/2024
85442^346162+85765104206Stefano Morozzi11/2024
85452^346164+152925104206Stefano Morozzi11/2024
85462^346160+131703104205Stefano Morozzi11/2024
85472^346155+166433104204Stefano Morozzi11/2024
85482^346157+7137104204Stefano Morozzi11/2024
85492^346158+31483104204Stefano Morozzi11/2024
85502^346158+183253104204Stefano Morozzi11/2024
85512^346152+136287104203Stefano Morozzi11/2024
85522^346154+107499104203Stefano Morozzi11/2024
85532^346154+187987104203Stefano Morozzi11/2024
855723678^23821-23821^23678104202Norbert Schneider01/2020
85542^346149+45857104202Stefano Morozzi11/2024
85552^346150+111579104202Stefano Morozzi11/2024
85562^346151+21539104202Stefano Morozzi11/2024
85582^346143+119183104200Stefano Morozzi11/2024
85592^346143+130361104200Stefano Morozzi11/2024
85602^346143+171791104200Stefano Morozzi11/2024
85612^346144+4731104200Stefano Morozzi11/2024
85622^346144+158097104200Stefano Morozzi11/2024
85632^346139+68459104199Stefano Morozzi11/2024
85642^346140+121711104199Stefano Morozzi11/2024
85652^346135+122913104198Stefano Morozzi11/2024
85662^346135+125453104198Stefano Morozzi11/2024
85672^346135+184869104198Stefano Morozzi11/2024
85682^346136+135721104198Stefano Morozzi11/2024
85692^346133+46695104197Stefano Morozzi11/2024
85702^346129+87819104196Stefano Morozzi11/2024
85712^346130+127369104196Stefano Morozzi11/2024
85722^346130+177619104196Stefano Morozzi11/2024
85732^346125+105609104195Stefano Morozzi11/2024
85742^346127+71201104195Stefano Morozzi11/2024
85752^346122+74469104194Stefano Morozzi11/2024
85762^346122+124119104194Stefano Morozzi11/2024
85772^346122+124227104194Stefano Morozzi11/2024
85782^346124+83973104194Stefano Morozzi11/2024
85792^346124+186877104194Stefano Morozzi11/2024
85802^346121+174729104193Stefano Morozzi11/2024
85812^346116+166317104192Stefano Morozzi11/2024
85822^346117+98015104192Stefano Morozzi11/2024
8583(13*31^69863+12407)/30104191Eric Chen04/2024
85842^346112+20827104191Stefano Morozzi11/2024
85852^346112+77533104191Stefano Morozzi11/2024
85862^346114+76959104191Stefano Morozzi11/2024
85872^346115+30513104191Stefano Morozzi11/2024
85882^346115+90105104191Stefano Morozzi11/2024
85892^346115+155859104191Stefano Morozzi11/2024
85902^346115+157809104191Stefano Morozzi11/2024
85912^346109+118587104190Stefano Morozzi11/2024
85922^346110+105763104190Stefano Morozzi11/2024
85932^346110+175197104190Stefano Morozzi11/2024
85942^346110+197725104190Stefano Morozzi11/2024
85952^346111+143313104190Stefano Morozzi11/2024
85962^346107+153513104189Stefano Morozzi11/2024
85972^346108+153897104189Stefano Morozzi11/2024
85982^346102+79435104188Stefano Morozzi11/2024
85992^346102+131949104188Stefano Morozzi11/2024
86002^346103+123009104188Stefano Morozzi11/2024
86012^346104+115845104188Stefano Morozzi11/2024
86022^346105+29141104188Stefano Morozzi11/2024
86032^346105+85035104188Stefano Morozzi11/2024
86042^346098+80323104186Stefano Morozzi11/2024
86052^346092+69855104185Stefano Morozzi11/2024
86062^346093+3627104185Stefano Morozzi11/2024
86072^346089+90947104184Stefano Morozzi11/2024
86082^346089+186749104184Stefano Morozzi11/2024
86092^346091+71279104184Stefano Morozzi11/2024
86102^346084+69211104182Stefano Morozzi11/2024
86112^346084+112237104182Stefano Morozzi11/2024
86122^346079+10371104181Stefano Morozzi11/2024
86132^346079+82811104181Stefano Morozzi11/2024
86172^346078+7695104180Lelio R Paula12/2016
86142^346076+85903104180Stefano Morozzi11/2024
86152^346076+111577104180Stefano Morozzi11/2024
86162^346076+143047104180Stefano Morozzi11/2024
86182^346072+126673104179Stefano Morozzi11/2024
86192^346073+37899104179Stefano Morozzi11/2024
86202^346075+21519104179Stefano Morozzi11/2024
86212^346075+27255104179Stefano Morozzi11/2024
86222^346075+115331104179Stefano Morozzi11/2024
86232^346069+53615104178Stefano Morozzi11/2024
86242^346069+188087104178Stefano Morozzi11/2024
86252^346066+29949104177Stefano Morozzi11/2024
86262^346066+133909104177Stefano Morozzi11/2024
86272^346066+188535104177Stefano Morozzi11/2024
86282^346068+159553104177Stefano Morozzi11/2024
86292^346064+122683104176Stefano Morozzi11/2024
86302^346060+20325104175Stefano Morozzi11/2024
86312^346060+110755104175Stefano Morozzi11/2024
86322^346058+57933104174Stefano Morozzi11/2024
86382^346055-19537104173Enzo Doria05/2013
8639(3*2^346057+1)/77104173Lelio R Paula12/2013
86332^346052+26655104173Stefano Morozzi11/2024
86342^346052+31611104173Stefano Morozzi11/2024
86352^346053+67667104173Stefano Morozzi11/2024
86362^346054+30507104173Stefano Morozzi11/2024
86372^346054+194589104173Stefano Morozzi11/2024
86402^346049+59067104172Stefano Morozzi11/2024
86412^346050+3129104172Stefano Morozzi11/2024
86422^346050+167125104172Stefano Morozzi11/2024
86432^346051+52563104172Stefano Morozzi11/2024
86442^346051+90941104172Stefano Morozzi11/2024
86452^346046+172107104171Stefano Morozzi11/2024
86462^346048+63415104171Stefano Morozzi11/2024
86472^346041+197885104169Stefano Morozzi11/2024
86512^346037-20125104168Enzo Doria06/2013
86482^346036+80773104168Stefano Morozzi11/2024
86492^346037+116429104168Stefano Morozzi11/2024
86502^346038+147549104168Stefano Morozzi11/2024
86522^346034+2205104167Stefano Morozzi11/2024
86532^346031+56429104166Stefano Morozzi11/2024
86542^346031+68439104166Stefano Morozzi11/2024
86552^346031+114891104166Stefano Morozzi11/2024
86562^346031+190563104166Stefano Morozzi11/2024
86572^346026+179305104165Stefano Morozzi11/2024
86582^346027+159425104165Stefano Morozzi11/2024
86592^346028+12517104165Stefano Morozzi11/2024
86602^346022+84705104164Stefano Morozzi11/2024
86612^346019+73673104163Stefano Morozzi11/2024
86622^346019+78999104163Stefano Morozzi11/2024
86632^346019+79955104163Stefano Morozzi11/2024
86642^346020+72993104163Stefano Morozzi11/2024
86652^346020+188673104163Stefano Morozzi11/2024
86662^346021+100311104163Stefano Morozzi11/2024
8670(34*10^104168-7)/9/13/551179104162Makoto Morimoto05/2016
86672^346016+84007104162Stefano Morozzi11/2024
86682^346017+122397104162Stefano Morozzi11/2024
86692^346017+165791104162Stefano Morozzi11/2024
86712^346014+27949104161Stefano Morozzi11/2024
86722^346014+46743104161Stefano Morozzi11/2024
86732^346015+166089104161Stefano Morozzi11/2024
86742^346009+107705104160Stefano Morozzi11/2024
86752^346012+35043104160Stefano Morozzi11/2024
86762^346012+83091104160Stefano Morozzi11/2024
86846^133854-17993104159Enzo Doria03/2013
86772^346006+77727104159Stefano Morozzi11/2024
86782^346008+9007104159Stefano Morozzi11/2024
86792^346008+51567104159Stefano Morozzi11/2024
86802^346008+107787104159Stefano Morozzi11/2024
86812^346008+146191104159Stefano Morozzi11/2024
86822^346008+170823104159Stefano Morozzi11/2024
8683(131^49201-1)/7538466025870104159Paul Vanderveen06/2025
86852^346003+191519104158Stefano Morozzi11/2024
86862^345990+1874239104154Enzo Doria06/2016
86872^345988-20373104153Enzo Doria06/2013
8688(2^345965+2214)/2104146Stefano Morozzi09/2020
8689(26*10^104132-503)/9104133Robert Price07/2018
86903*5^148968+8104125Lelio R Paula11/2014
8691(7*10^104113+53)/3104114Robert Price05/2018
8692p(21253)#/2+8104113Robert Price01/2017
869333582^1259+1259^33582104106Hans Havermann09/2020
869432958^1441+1441^32958104104Hans Havermann09/2020
869529127^3748+3748^29127104095Hans Havermann09/2020
8696322^41507+41507^322104094Norbert Schneider12/2014
86976^133768-17423104092Enzo Doria03/2013
86982^345786-19557104092Enzo Doria05/2013
8699171^46606-2104072Lelio R Paula10/2017
8700(29*10^104071+91)/3104072Robert Price04/2020
8701norm(Mod(x,x^3-x-1)^852167-1)104070Paul Vanderveen09/2022
87022^345704-149104068Lelio R Paula09/2011
870325821^10712+10712^25821104056Hans Havermann09/2020
8704(2^345662+2038)/2104055Stefano Morozzi09/2020
87056^133704-17273104042Enzo Doria02/2013
8706(3*2^345590-1)/23104033Lelio R Paula03/2014
8707(19*2^345590+1)/33859104030Lelio R Paula12/2013
87082^345547+11104021Lelio R Paula09/2011
8709(19*10^104014-49)/3104015Robert Price05/2019
8710(2^345519+1794)/2104012Stefano Morozzi01/2021
87112^345504+723104008Lelio R Paula09/2011
87122^345498-20037104006Enzo Doria06/2013
871418^82854-37104005Lelio R Paula01/2017
8713(2^345497+2070)/2104005Stefano Morozzi09/2020
87152^345486-109065104002Enzo Doria04/2014
87162^345487-1851507104002Enzo Doria08/2015
87172^345476+777103999Lelio R Paula09/2011
8718(2^345477+1554)/2103999Stefano Morozzi09/2020
87194*10^103981-83103982Robert Price10/2018
8720(2^345327+3206)/2103954Stefano Morozzi09/2020
8721(5*2^345321-1)/3103953Lelio R Paula03/2014
8722(2^345267-9)/539049127103927Lelio R Paula12/2013
8723(19*10^103907+77)/3103908Robert Price05/2019
8724(78557*2^345163+1)/78589103905Lelio R Paula07/2014
87252^345106-112181103888Enzo Doria06/2014
8726(2^345105+1326)/2103887Stefano Morozzi02/2021
87272^345079+99103880Lelio R Paula09/2011
8728(2^345034+1198)/2103866Stefano Morozzi09/2020
872911^99736-1500103865Enzo Doria12/2012
8730(569^37699-1)/568103863Serge Batalov06/2022
8731(2^345010+2082)/2103859Stefano Morozzi09/2020
873223263^23784-23784^23263103857Norbert Schneider01/2020
87333*10^103844+31103845Robert Price06/2021
8734444*33^68368+19103821Eric Chen05/2023
873523927^21814+21814^23927103813Hans Havermann09/2020
87362^344842-20157103808Enzo Doria06/2013
8737(47*2^344822+1)/1071103801Lelio R Paula05/2015
87382^344802-20765103796Enzo Doria06/2013
87392^344794-3821103794Yves Minet05/2011
87402^344782-109103103790Enzo Doria04/2014
87413^217521-112292103784Enzo Doria06/2014
87422^344759-3505103783Lelio R Paula11/2016
87432^344735-147103776Lelio R Paula09/2011
8744L(496533)-p(496533)103770Robert Price02/2018
87452*10^103749-69103750Robert Price03/2018
8746(55459*2^344617+1)/3103745Lelio R Paula07/2014
87472^344607-108891103738Enzo Doria03/2014
8749(2^344608+3798)/2103738Stefano Morozzi02/2021
8748(1097^34123-1)/1096103738Serge Batalov06/2022
87502^344560+22411103723Enzo Doria09/2023


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: July, 10 2025 14:11 (Time in France)

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