PRP Records

Probable Primes Top 10000

(301678 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 ?
85012^346162+85765104206Stefano Morozzi11/2024
85022^346164+152925104206Stefano Morozzi11/2024
85032^346160+131703104205Stefano Morozzi11/2024
85042^346155+166433104204Stefano Morozzi11/2024
85052^346157+7137104204Stefano Morozzi11/2024
85062^346158+31483104204Stefano Morozzi11/2024
85072^346158+183253104204Stefano Morozzi11/2024
85082^346152+136287104203Stefano Morozzi11/2024
85092^346154+107499104203Stefano Morozzi11/2024
85102^346154+187987104203Stefano Morozzi11/2024
851423678^23821-23821^23678104202Norbert Schneider01/2020
85112^346149+45857104202Stefano Morozzi11/2024
85122^346150+111579104202Stefano Morozzi11/2024
85132^346151+21539104202Stefano Morozzi11/2024
85152^346143+119183104200Stefano Morozzi11/2024
85162^346143+130361104200Stefano Morozzi11/2024
85172^346143+171791104200Stefano Morozzi11/2024
85182^346144+4731104200Stefano Morozzi11/2024
85192^346144+158097104200Stefano Morozzi11/2024
85202^346139+68459104199Stefano Morozzi11/2024
85212^346140+121711104199Stefano Morozzi11/2024
85222^346135+122913104198Stefano Morozzi11/2024
85232^346135+125453104198Stefano Morozzi11/2024
85242^346135+184869104198Stefano Morozzi11/2024
85252^346136+135721104198Stefano Morozzi11/2024
85262^346133+46695104197Stefano Morozzi11/2024
85272^346129+87819104196Stefano Morozzi11/2024
85282^346130+127369104196Stefano Morozzi11/2024
85292^346130+177619104196Stefano Morozzi11/2024
85302^346125+105609104195Stefano Morozzi11/2024
85312^346127+71201104195Stefano Morozzi11/2024
85322^346122+74469104194Stefano Morozzi11/2024
85332^346122+124119104194Stefano Morozzi11/2024
85342^346122+124227104194Stefano Morozzi11/2024
85352^346124+83973104194Stefano Morozzi11/2024
85362^346124+186877104194Stefano Morozzi11/2024
85372^346121+174729104193Stefano Morozzi11/2024
85382^346116+166317104192Stefano Morozzi11/2024
85392^346117+98015104192Stefano Morozzi11/2024
8540(13*31^69863+12407)/30104191Eric Chen04/2024
85412^346112+20827104191Stefano Morozzi11/2024
85422^346112+77533104191Stefano Morozzi11/2024
85432^346114+76959104191Stefano Morozzi11/2024
85442^346115+30513104191Stefano Morozzi11/2024
85452^346115+90105104191Stefano Morozzi11/2024
85462^346115+155859104191Stefano Morozzi11/2024
85472^346115+157809104191Stefano Morozzi11/2024
85482^346109+118587104190Stefano Morozzi11/2024
85492^346110+105763104190Stefano Morozzi11/2024
85502^346110+175197104190Stefano Morozzi11/2024
85512^346110+197725104190Stefano Morozzi11/2024
85522^346111+143313104190Stefano Morozzi11/2024
85532^346107+153513104189Stefano Morozzi11/2024
85542^346108+153897104189Stefano Morozzi11/2024
85552^346102+79435104188Stefano Morozzi11/2024
85562^346102+131949104188Stefano Morozzi11/2024
85572^346103+123009104188Stefano Morozzi11/2024
85582^346104+115845104188Stefano Morozzi11/2024
85592^346105+29141104188Stefano Morozzi11/2024
85602^346105+85035104188Stefano Morozzi11/2024
85612^346098+80323104186Stefano Morozzi11/2024
85622^346092+69855104185Stefano Morozzi11/2024
85632^346093+3627104185Stefano Morozzi11/2024
85642^346089+90947104184Stefano Morozzi11/2024
85652^346089+186749104184Stefano Morozzi11/2024
85662^346091+71279104184Stefano Morozzi11/2024
85672^346084+69211104182Stefano Morozzi11/2024
85682^346084+112237104182Stefano Morozzi11/2024
85692^346079+10371104181Stefano Morozzi11/2024
85702^346079+82811104181Stefano Morozzi11/2024
85742^346078+7695104180Lelio R Paula12/2016
85712^346076+85903104180Stefano Morozzi11/2024
85722^346076+111577104180Stefano Morozzi11/2024
85732^346076+143047104180Stefano Morozzi11/2024
85752^346072+126673104179Stefano Morozzi11/2024
85762^346073+37899104179Stefano Morozzi11/2024
85772^346075+21519104179Stefano Morozzi11/2024
85782^346075+27255104179Stefano Morozzi11/2024
85792^346075+115331104179Stefano Morozzi11/2024
85802^346069+53615104178Stefano Morozzi11/2024
85812^346069+188087104178Stefano Morozzi11/2024
85822^346066+29949104177Stefano Morozzi11/2024
85832^346066+133909104177Stefano Morozzi11/2024
85842^346066+188535104177Stefano Morozzi11/2024
85852^346068+159553104177Stefano Morozzi11/2024
85862^346064+122683104176Stefano Morozzi11/2024
85872^346060+20325104175Stefano Morozzi11/2024
85882^346060+110755104175Stefano Morozzi11/2024
85892^346058+57933104174Stefano Morozzi11/2024
85952^346055-19537104173Enzo Doria05/2013
8596(3*2^346057+1)/77104173Lelio R Paula12/2013
85902^346052+26655104173Stefano Morozzi11/2024
85912^346052+31611104173Stefano Morozzi11/2024
85922^346053+67667104173Stefano Morozzi11/2024
85932^346054+30507104173Stefano Morozzi11/2024
85942^346054+194589104173Stefano Morozzi11/2024
85972^346049+59067104172Stefano Morozzi11/2024
85982^346050+3129104172Stefano Morozzi11/2024
85992^346050+167125104172Stefano Morozzi11/2024
86002^346051+52563104172Stefano Morozzi11/2024
86012^346051+90941104172Stefano Morozzi11/2024
86022^346046+172107104171Stefano Morozzi11/2024
86032^346048+63415104171Stefano Morozzi11/2024
86042^346041+197885104169Stefano Morozzi11/2024
86082^346037-20125104168Enzo Doria06/2013
86052^346036+80773104168Stefano Morozzi11/2024
86062^346037+116429104168Stefano Morozzi11/2024
86072^346038+147549104168Stefano Morozzi11/2024
86092^346034+2205104167Stefano Morozzi11/2024
86102^346031+56429104166Stefano Morozzi11/2024
86112^346031+68439104166Stefano Morozzi11/2024
86122^346031+114891104166Stefano Morozzi11/2024
86132^346031+190563104166Stefano Morozzi11/2024
86142^346026+179305104165Stefano Morozzi11/2024
86152^346027+159425104165Stefano Morozzi11/2024
86162^346028+12517104165Stefano Morozzi11/2024
86172^346022+84705104164Stefano Morozzi11/2024
86182^346019+73673104163Stefano Morozzi11/2024
86192^346019+78999104163Stefano Morozzi11/2024
86202^346019+79955104163Stefano Morozzi11/2024
86212^346020+72993104163Stefano Morozzi11/2024
86222^346020+188673104163Stefano Morozzi11/2024
86232^346021+100311104163Stefano Morozzi11/2024
8627(34*10^104168-7)/9/13/551179104162Makoto Morimoto05/2016
86242^346016+84007104162Stefano Morozzi11/2024
86252^346017+122397104162Stefano Morozzi11/2024
86262^346017+165791104162Stefano Morozzi11/2024
86282^346014+27949104161Stefano Morozzi11/2024
86292^346014+46743104161Stefano Morozzi11/2024
86302^346015+166089104161Stefano Morozzi11/2024
86312^346009+107705104160Stefano Morozzi11/2024
86322^346012+35043104160Stefano Morozzi11/2024
86332^346012+83091104160Stefano Morozzi11/2024
86416^133854-17993104159Enzo Doria03/2013
86342^346006+77727104159Stefano Morozzi11/2024
86352^346008+9007104159Stefano Morozzi11/2024
86362^346008+51567104159Stefano Morozzi11/2024
86372^346008+107787104159Stefano Morozzi11/2024
86382^346008+146191104159Stefano Morozzi11/2024
86392^346008+170823104159Stefano Morozzi11/2024
8640(131^49201-1)/7538466025870104159Paul Vanderveen06/2025
86422^346003+191519104158Stefano Morozzi11/2024
86432^345990+1874239104154Enzo Doria06/2016
86442^345988-20373104153Enzo Doria06/2013
8645(2^345965+2214)/2104146Stefano Morozzi09/2020
8646(26*10^104132-503)/9104133Robert Price07/2018
86473*5^148968+8104125Lelio R Paula11/2014
8648(7*10^104113+53)/3104114Robert Price05/2018
8649p(21253)#/2+8104113Robert Price01/2017
865033582^1259+1259^33582104106Hans Havermann09/2020
865132958^1441+1441^32958104104Hans Havermann09/2020
865229127^3748+3748^29127104095Hans Havermann09/2020
8653322^41507+41507^322104094Norbert Schneider12/2014
86546^133768-17423104092Enzo Doria03/2013
86552^345786-19557104092Enzo Doria05/2013
8656171^46606-2104072Lelio R Paula10/2017
8657(29*10^104071+91)/3104072Robert Price04/2020
8658norm(Mod(x,x^3-x-1)^852167-1)104070Paul Vanderveen09/2022
86592^345704-149104068Lelio R Paula09/2011
866025821^10712+10712^25821104056Hans Havermann09/2020
8661(2^345662+2038)/2104055Stefano Morozzi09/2020
86626^133704-17273104042Enzo Doria02/2013
8663(3*2^345590-1)/23104033Lelio R Paula03/2014
8664(19*2^345590+1)/33859104030Lelio R Paula12/2013
86652^345547+11104021Lelio R Paula09/2011
8666(19*10^104014-49)/3104015Robert Price05/2019
8667(2^345519+1794)/2104012Stefano Morozzi01/2021
86682^345504+723104008Lelio R Paula09/2011
86692^345498-20037104006Enzo Doria06/2013
867118^82854-37104005Lelio R Paula01/2017
8670(2^345497+2070)/2104005Stefano Morozzi09/2020
86722^345486-109065104002Enzo Doria04/2014
86732^345487-1851507104002Enzo Doria08/2015
86742^345476+777103999Lelio R Paula09/2011
8675(2^345477+1554)/2103999Stefano Morozzi09/2020
86764*10^103981-83103982Robert Price10/2018
8677(2^345327+3206)/2103954Stefano Morozzi09/2020
8678(5*2^345321-1)/3103953Lelio R Paula03/2014
8679(2^345267-9)/539049127103927Lelio R Paula12/2013
8680(19*10^103907+77)/3103908Robert Price05/2019
8681(78557*2^345163+1)/78589103905Lelio R Paula07/2014
86822^345106-112181103888Enzo Doria06/2014
8683(2^345105+1326)/2103887Stefano Morozzi02/2021
86842^345079+99103880Lelio R Paula09/2011
8685(2^345034+1198)/2103866Stefano Morozzi09/2020
868611^99736-1500103865Enzo Doria12/2012
8687(569^37699-1)/568103863Serge Batalov06/2022
8688(2^345010+2082)/2103859Stefano Morozzi09/2020
868923263^23784-23784^23263103857Norbert Schneider01/2020
86903*10^103844+31103845Robert Price06/2021
8691444*33^68368+19103821Eric Chen05/2023
869223927^21814+21814^23927103813Hans Havermann09/2020
86932^344842-20157103808Enzo Doria06/2013
8694(47*2^344822+1)/1071103801Lelio R Paula05/2015
86952^344802-20765103796Enzo Doria06/2013
86962^344794-3821103794Yves Minet05/2011
86972^344782-109103103790Enzo Doria04/2014
86983^217521-112292103784Enzo Doria06/2014
86992^344759-3505103783Lelio R Paula11/2016
87002^344735-147103776Lelio R Paula09/2011
8701L(496533)-p(496533)103770Robert Price02/2018
87022*10^103749-69103750Robert Price03/2018
8703(55459*2^344617+1)/3103745Lelio R Paula07/2014
87042^344607-108891103738Enzo Doria03/2014
8706(2^344608+3798)/2103738Stefano Morozzi02/2021
8705(1097^34123-1)/1096103738Serge Batalov06/2022
87072^344560+22411103723Enzo Doria09/2023
8708(148*10^103718-1)/3103720Robert Price03/2020
87092^344541-19561103718Enzo Doria05/2013
8710(1017*2^344529-1)/569103714Lelio R Paula05/2015
8711(8896^26263-1)/8895103714Serge Batalov06/2022
8712(2^344503+1758)/2103706Stefano Morozzi09/2020
8713(4*10^103703-1)/3103704Serge Batalov08/2009
87142^344444-455103688Yves Minet03/2012
8715(4*10^103678-43)/3103679Robert Price01/2022
8716(13*53^238539*617^9)/10^307661103673Hans Havermann06/2017
8717(2^344367+2738)/2103665Stefano Morozzi01/2021
87192^344317-109933103650Enzo Doria04/2014
871826055^9508+9508^26055103650Hans Havermann09/2020
87202^344309-1852033103648Enzo Doria08/2015
872125729^10672+10672^25729103643Hans Havermann09/2020
8722(2^344289+1166)/2103642Stefano Morozzi09/2020
87233*10^103637+61103638Robert Price09/2020
8724(2^344246+1614)/2103629Stefano Morozzi09/2020
87252^344213-21253103619Enzo Doria06/2013
87262^344196-465103614Lelio R Paula11/2016
87272^344187-20001103611Enzo Doria06/2013
8728(117191#+(355573#)/(117191#))/(200233679)103602Makoto Morimoto10/2017
8729(237^43627-1)/236103601Serge Batalov06/2022
873020^79621-19^79621103590Jean-Louis Charton03/2011
8731Phi(155391,10)/1243129103586Maksym Voznyy09/2015
8732(9^108553-2^108553)/7103586Jon Grantham07/2023
87332^344085-20365103580Enzo Doria06/2013
87345^148169+54103566Lelio R Paula11/2016
87352^344017-108795103560Enzo Doria03/2014
8736(2^343974+2670)/2103547Stefano Morozzi09/2020
87372^343971-5077103546Lelio R Paula09/2011
8738(7*10^103531+71)/3103532Robert Price05/2018
87392^343899+141103524Lelio R Paula08/2011
8740(2^343933+1)/(3*98294339989393)103520Gord Palameta08/2018
87416^133029-67103517Lelio R Paula11/2016
8742(17*2^343877+1)/13625103515Lelio R Paula12/2013
874366*10^103507+7103509Robert Price07/2020
874426297^8614+8614^26297103485Hans Havermann09/2020
8745(2^343764+2658)/2103483Stefano Morozzi09/2020
874626499^8036+8036^26499103480Hans Havermann09/2020
8747(103^51413-1)/4478483706103477Paul Vanderveen06/2025
8748(136*10^103474-1)/9103476Serge Batalov12/2014
87495^148014-24103458Lelio R Paula11/2016
875025^74007-24103458Anonymous09/2024


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: June, 28 2025 10:26 (Time in France)

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