PRP Records

Probable Primes Top 10000

(288949 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 ?
57512^338922-27291102026Stefano Morozzi12/2021
57522^338919-103849102025Stefano Morozzi01/2022
57532^338909+100769102022Stefano Morozzi11/2021
57542^338908-100839102022Stefano Morozzi12/2021
57552^338909-25951102022Stefano Morozzi12/2021
57562^338906-25823102021Stefano Morozzi12/2021
57572^338904+75951102021Stefano Morozzi12/2021
57582^338903+4155102020Stefano Morozzi01/2022
57592^338899-150051102019Stefano Morozzi12/2021
57602^338899+125951102019Stefano Morozzi12/2021
57652^338891-18885102017Enzo Doria05/2013
57612^338891+26499102017Stefano Morozzi12/2021
57622^338891-2625102017Stefano Morozzi12/2021
57632^338893+128727102017Stefano Morozzi01/2022
57642^338890-52965102017Stefano Morozzi01/2022
57662^338887+154029102016Stefano Morozzi01/2022
57672^338886+177159102015Stefano Morozzi12/2021
57682^338879-1059102013Stefano Morozzi12/2021
57692^338855+102141102006Stefano Morozzi12/2021
57702^338856-27173102006Stefano Morozzi12/2021
57712^338856-102839102006Stefano Morozzi01/2022
57722^338850+27987102005Stefano Morozzi01/2022
57732^338847+176013102004Stefano Morozzi12/2021
57742^338847-2365102004Stefano Morozzi12/2021
57752^338843-127261102002Stefano Morozzi12/2021
57778*10^102000+51102001Robert Price08/2019
57762^338838+150837102001Stefano Morozzi11/2021
57782^338835-150625102000Stefano Morozzi12/2021
5781(2^338832+642)/2101999Stefano Morozzi09/2020
57792^338833-100905101999Stefano Morozzi12/2021
57802^338831+54419101999Stefano Morozzi01/2022
57862^338829-113239101998Enzo Doria07/2014
57872^338828-113297101998Enzo Doria07/2014
57822^338830+25017101998Stefano Morozzi11/2021
57832^338831+321101998Stefano Morozzi11/2021
57842^338827-26197101998Stefano Morozzi12/2021
57852^338829+52727101998Stefano Morozzi01/2022
57882^338825-27453101997Stefano Morozzi12/2021
57892^338815+151175101994Stefano Morozzi12/2021
57902^338811-126999101993Stefano Morozzi12/2021
57912^338809-152755101992Stefano Morozzi01/2022
57922^338802+150403101990Stefano Morozzi11/2021
57932^338801+154587101990Stefano Morozzi01/2022
57972^338796+93101988Donovan Johnson06/2008
57942^338795+455101988Stefano Morozzi11/2021
57952^338795-102075101988Stefano Morozzi12/2021
57962^338794-3483101988Stefano Morozzi01/2022
57982^338787+53309101986Stefano Morozzi01/2022
57992^338787-153817101986Stefano Morozzi01/2022
58002^338785+104639101985Stefano Morozzi01/2022
5802lucasU(1373,1,32502)-lucasU(1373,1,32501)101978Mike Oakes05/2009
58012^338761+103671101978Stefano Morozzi01/2022
58032^338752-153353101975Stefano Morozzi01/2022
58042^338750-175625101974Stefano Morozzi12/2021
58052^338747-2731101974Stefano Morozzi12/2021
58062^338741+25359101972Stefano Morozzi12/2021
58072^338743+176981101972Stefano Morozzi12/2021
58082^338739+76959101971Stefano Morozzi12/2021
58092^338737+127547101970Stefano Morozzi12/2021
58102^338737+128591101970Stefano Morozzi01/2022
58112^338735-153165101970Stefano Morozzi01/2022
581325295^10744+10744^25295101969Hans Havermann01/2019
581425712^9243+9243^25712101969Hans Havermann01/2019
58122^338731-150895101969Stefano Morozzi12/2021
58152^338726+128199101967Stefano Morozzi01/2022
58162^338727+127745101967Stefano Morozzi01/2022
58172^338723-76651101966Stefano Morozzi12/2021
58182^338721+79037101966Stefano Morozzi01/2022
58192^338718-126861101965Stefano Morozzi12/2021
5820(71^55079-1)/70101964Paul Bourdelais08/2017
58212^338711+125399101963Stefano Morozzi12/2021
58222^338706-102917101961Stefano Morozzi01/2022
58232^338698+104083101959Stefano Morozzi01/2022
58262^338682-19865101954Enzo Doria06/2013
5827(2^(112895*3+1)+243)/7101954Kevin Acres12/2013
5824(8*10^101954-269)/9101954Robert Price09/2021
58252^338683+50303101954Stefano Morozzi11/2021
58282^338674-175967101952Stefano Morozzi12/2021
58292^338677-177373101952Stefano Morozzi12/2021
58302^338677+102999101952Stefano Morozzi01/2022
58312^338668+2583101950Stefano Morozzi12/2021
5836(2^338666+3154)/2101949Stefano Morozzi09/2020
58322^338665+1577101949Stefano Morozzi12/2021
58332^338665-51133101949Stefano Morozzi12/2021
58342^338664+4345101949Stefano Morozzi01/2022
58352^338666-128943101949Stefano Morozzi01/2022
58372^338654+51027101946Stefano Morozzi12/2021
58382^338656-152115101946Stefano Morozzi12/2021
58392^338653+126629101945Stefano Morozzi12/2021
58402^338645+150311101943Stefano Morozzi11/2021
58412^338645+28481101943Stefano Morozzi01/2022
58422^338647-77895101943Stefano Morozzi01/2022
58432^338641-152541101942Stefano Morozzi12/2021
58442^338638+100575101941Stefano Morozzi12/2021
58452^338639-127461101941Stefano Morozzi12/2021
58462^338635+1961101940Stefano Morozzi12/2021
58472^338637+102125101940Stefano Morozzi12/2021
584828594^3673+3673^28594101939Hans Havermann02/2019
58492^338630-150341101938Stefano Morozzi12/2021
58502^338620-150735101935Stefano Morozzi12/2021
58512^338619-27765101935Stefano Morozzi01/2022
58522^338619-77959101935Stefano Morozzi01/2022
58532^338615+151655101934Stefano Morozzi12/2021
58542^338616+5047101934Stefano Morozzi01/2022
58552^338611+76659101933Stefano Morozzi12/2021
58562^338603-1195101930Stefano Morozzi12/2021
58572^338596-1739101928Stefano Morozzi12/2021
58582^338595-78687101928Stefano Morozzi01/2022
58592^338591+53769101927Stefano Morozzi01/2022
5862(2^338587+2306)/2101925Stefano Morozzi02/2021
58602^338586+1153101925Stefano Morozzi12/2021
58612^338587-51709101925Stefano Morozzi12/2021
58632^338584+100771101924Stefano Morozzi11/2021
58642^338581-150415101924Stefano Morozzi12/2021
58652^338581-2349101924Stefano Morozzi12/2021
58662^338575-28815101922Stefano Morozzi01/2022
58672^338568+37101920Lelio R Paula07/2011
58702^338559-1858777101917Enzo Doria04/2016
58682^338558+4825101917Stefano Morozzi01/2022
58692^338559-127935101917Stefano Morozzi01/2022
58712^338553-125383101915Stefano Morozzi12/2021
58722^338548+76923101914Stefano Morozzi12/2021
58732^338547+129321101913Stefano Morozzi01/2022
58742^338547-153481101913Stefano Morozzi01/2022
58752^338541+152721101911Stefano Morozzi01/2022
58762^338536-100785101910Stefano Morozzi12/2021
58772^338535-51837101910Stefano Morozzi12/2021
58782^338524+54421101906Stefano Morozzi01/2022
5882(9*2^338520+1)/365101904Lelio R Paula12/2013
58792^338517-125955101904Stefano Morozzi12/2021
58802^338517+126437101904Stefano Morozzi12/2021
58812^338517-53499101904Stefano Morozzi01/2022
588424502^14419+14419^24502101903Hans Havermann01/2019
58832^338512-827101903Stefano Morozzi12/2021
58852^338509+5139101902Stefano Morozzi01/2022
58862^338504-152615101900Stefano Morozzi01/2022
58872^338500-26865101899Stefano Morozzi12/2021
58882^338501-177471101899Stefano Morozzi12/2021
58892^338499-3915101899Stefano Morozzi01/2022
58922^338497-17041101898Enzo Doria05/2013
58902^338497+150405101898Stefano Morozzi11/2021
58912^338495+100533101898Stefano Morozzi12/2021
58932^338487-3555101895Stefano Morozzi01/2022
58942^338484+128767101894Stefano Morozzi01/2022
58952^338475+54615101892Lelio R Paula10/2016
58962^338474+100767101891Stefano Morozzi11/2021
58972^338470+27777101890Stefano Morozzi01/2022
58982^338467-25665101889Stefano Morozzi12/2021
58992^338465+152139101889Stefano Morozzi12/2021
59002^338466-28643101889Stefano Morozzi01/2022
5901(133*10^101881+17)/3101883Robert Price11/2021
59022^338444+127623101882Stefano Morozzi12/2021
59032^338436+153657101880Stefano Morozzi01/2022
59042^338437-153159101880Stefano Morozzi01/2022
59072^338426-19797101877Enzo Doria06/2013
59052^338427-77797101877Stefano Morozzi01/2022
59062^338427-178687101877Stefano Morozzi01/2022
59082^338420-178829101875Stefano Morozzi01/2022
59092^338418-50903101874Stefano Morozzi12/2021
59102^338413-125919101873Stefano Morozzi12/2021
59112^338414+26083101873Stefano Morozzi12/2021
59122^338412-152379101873Stefano Morozzi12/2021
59132^338409-52183101872Stefano Morozzi12/2021
59142^338411-3789101872Stefano Morozzi01/2022
59152^338395-127449101868Stefano Morozzi12/2021
59162^338398-127637101868Stefano Morozzi01/2022
59172^338394+100317101867Stefano Morozzi11/2021
59182^338393-152749101867Stefano Morozzi01/2022
59192^338390+76627101866Stefano Morozzi12/2021
59202^338387-75685101865Stefano Morozzi12/2021
59212^338388-53459101865Stefano Morozzi01/2022
59222^338380+77125101863Stefano Morozzi12/2021
59232^338378-125841101862Stefano Morozzi12/2021
59242^338375+27815101862Stefano Morozzi01/2022
59252^338375-28509101862Stefano Morozzi01/2022
59262^338373-75103101861Stefano Morozzi12/2021
59272^338372+128877101861Stefano Morozzi01/2022
59282^338374-28731101861Stefano Morozzi01/2022
59292^338374-128427101861Stefano Morozzi01/2022
59302^338369+29427101860Stefano Morozzi01/2022
59312^338370+179133101860Stefano Morozzi01/2022
59332^338368-20369101859Enzo Doria06/2013
59342^338366+74179101859Enzo Doria04/2016
59322^338366+53853101859Stefano Morozzi01/2022
59352^338361-100875101857Stefano Morozzi12/2021
59362^338361+154169101857Stefano Morozzi01/2022
59372^338356+101271101856Stefano Morozzi12/2021
59382^338356+53383101856Stefano Morozzi01/2022
59392^338350-152933101854Stefano Morozzi01/2022
594127088^5755+5755^27088101853Hans Havermann01/2019
59402^338347+125901101853Stefano Morozzi11/2021
59422^338343+152271101852Stefano Morozzi12/2021
59432^338345+154107101852Stefano Morozzi01/2022
59442^338339+2753101851Stefano Morozzi12/2021
59452^338341+128415101851Stefano Morozzi01/2022
59462^338338+2677101850Stefano Morozzi12/2021
59472^338335+51975101849Stefano Morozzi12/2021
59482^338335-152607101849Stefano Morozzi01/2022
59492^338316-175857101844Stefano Morozzi12/2021
59502^338318+54405101844Stefano Morozzi01/2022
59512^338315-178635101843Stefano Morozzi01/2022
59522^338311-51799101842Stefano Morozzi12/2021
59532^338304+78757101840Stefano Morozzi01/2022
59542^338298-25571101838Stefano Morozzi12/2021
59552^338294-150711101837Stefano Morozzi12/2021
59562^338294+177597101837Stefano Morozzi12/2021
59572^338294-177807101837Stefano Morozzi01/2022
59582^338295-52929101837Stefano Morozzi01/2022
59592^338288+26623101835Stefano Morozzi12/2021
59622^338280-19745101833Enzo Doria06/2013
59602^338279-125947101833Stefano Morozzi12/2021
59612^338280-50343101833Stefano Morozzi12/2021
59632^338256+5223101826Stefano Morozzi01/2022
59642^338257+178425101826Stefano Morozzi01/2022
59652^338255-127021101825Stefano Morozzi12/2021
59662^338251+78975101824Stefano Morozzi01/2022
59672^338252-178709101824Stefano Morozzi01/2022
5971(2^338242+2782)/2101821Stefano Morozzi02/2021
59682^338241+1391101821Stefano Morozzi12/2021
59692^338242+151195101821Stefano Morozzi12/2021
59702^338240-152495101821Stefano Morozzi12/2021
59722^338238-126735101820Stefano Morozzi12/2021
5974(3*2^338236-1)/347101818Lelio R Paula03/2014
59732^338232-175539101818Stefano Morozzi12/2021
5975(34*10^101815+191)/9101816Robert Price08/2021
59786^130841+103101815Lelio R Paula10/2016
59762^338220+150405101815Stefano Morozzi11/2021
59772^338219-4147101815Stefano Morozzi01/2022
59792^338216+77473101814Stefano Morozzi12/2021
59802^338213-125631101813Stefano Morozzi12/2021
59812^338215+25845101813Stefano Morozzi12/2021
59822^338210-153537101812Stefano Morozzi01/2022
59832^338208-178787101811Stefano Morozzi01/2022
59842^338205+102471101810Stefano Morozzi12/2021
59852^338199-176377101809Stefano Morozzi12/2021
59862^338201-151233101809Stefano Morozzi12/2021
59872^338202-152061101809Stefano Morozzi12/2021
59882^338194-175845101807Stefano Morozzi12/2021
59892^338186+127245101805Stefano Morozzi12/2021
59902^338185+77315101804Stefano Morozzi12/2021
59912^338185+102519101804Stefano Morozzi12/2021
59922^338183-76539101804Stefano Morozzi12/2021
59932^338185+104489101804Stefano Morozzi01/2022
59942^338177+51807101802Stefano Morozzi12/2021
59952^338175+25161101801Stefano Morozzi11/2021
59962^338173-27901101801Stefano Morozzi01/2022
59972^338165-152139101798Stefano Morozzi12/2021
59982^338159-127575101797Stefano Morozzi12/2021
59992^338161+154259101797Stefano Morozzi01/2022
60002^338156-75269101796Stefano Morozzi12/2021


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: January, 19 2022 17:15 (Time in France)

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