PRP Records

Probable Primes Top 10000

(294113 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 ?
70082^338891-18885102017Enzo Doria05/2013
70012^338893+128727102017Stefano Morozzi01/2022
70022^338890-52965102017Stefano Morozzi01/2022
70032^338892-55467102017Stefano Morozzi02/2022
70042^338892-83393102017Stefano Morozzi04/2022
70052^338893+13649102017Stefano Morozzi05/2022
70062^338892+117957102017Stefano Morozzi09/2022
70072^338892-14643102017Stefano Morozzi01/2023
70092^338887+154029102016Stefano Morozzi01/2022
70102^338889-104293102016Stefano Morozzi02/2022
70112^338887+147741102016Stefano Morozzi11/2022
70122^338889+195975102016Stefano Morozzi11/2022
70132^338889-117873102016Stefano Morozzi02/2023
70142^338886+177159102015Stefano Morozzi12/2021
70152^338885+40425102015Stefano Morozzi06/2022
70162^338884-13053102015Stefano Morozzi12/2022
70172^338885-112569102015Stefano Morozzi12/2022
70182^338880+11341102014Stefano Morozzi03/2022
70192^338880-160383102014Stefano Morozzi06/2022
70202^338880-161627102014Stefano Morozzi12/2022
70212^338879-1059102013Stefano Morozzi12/2021
70222^338879-54525102013Stefano Morozzi02/2022
70232^338877-82813102013Stefano Morozzi03/2022
70242^338878-185883102013Stefano Morozzi06/2022
70252^338879-60355102013Stefano Morozzi06/2022
70262^338878+43719102013Stefano Morozzi09/2022
70272^338879+122049102013Stefano Morozzi11/2022
70282^338874-15063102012Stefano Morozzi01/2023
70292^338874+148993102012Stefano Morozzi02/2023
70302^338871+7679102011Stefano Morozzi02/2022
70312^338872+61141102011Stefano Morozzi03/2022
70322^338872-183923102011Stefano Morozzi04/2022
70332^338873+19527102011Stefano Morozzi09/2022
70342^338870+70719102011Stefano Morozzi11/2022
7035(19*10^102011+287)/9/3102011Alfred Reich11/2022
70362^338870-37571102011Stefano Morozzi12/2022
70372^338872-138573102011Stefano Morozzi12/2022
70382^338873-63843102011Stefano Morozzi12/2022
70392^338868-5985102010Stefano Morozzi02/2022
70402^338867+38079102010Stefano Morozzi05/2022
70412^338868+140437102010Stefano Morozzi06/2022
70422^338868-110175102010Stefano Morozzi06/2022
70432^338868+123337102010Stefano Morozzi11/2022
70442^338867-13327102010Stefano Morozzi12/2022
70452^338868-11279102010Stefano Morozzi12/2022
70462^338868-115685102010Stefano Morozzi01/2023
70472^338864+158191102009Stefano Morozzi02/2022
70482^338865-39699102009Stefano Morozzi01/2023
70492^338865-40789102009Stefano Morozzi01/2023
70502^338862+60433102008Stefano Morozzi03/2022
70512^338861-9453102008Stefano Morozzi04/2022
70522^338861+98067102008Stefano Morozzi11/2022
70532^338862+146545102008Stefano Morozzi11/2022
70542^338863-186207102008Stefano Morozzi12/2022
70552^338860-41429102008Stefano Morozzi01/2023
70562^338862-115833102008Stefano Morozzi01/2023
70572^338863+74259102008Stefano Morozzi02/2023
70582^338863-193017102008Stefano Morozzi02/2023
70592^338858-190185102007Stefano Morozzi01/2023
70602^338855+102141102006Stefano Morozzi12/2021
70612^338856-27173102006Stefano Morozzi12/2021
70622^338856-102839102006Stefano Morozzi01/2022
70632^338855+79629102006Stefano Morozzi01/2022
70642^338856+47755102006Stefano Morozzi11/2022
70652^338850+27987102005Stefano Morozzi01/2022
70662^338853+111791102005Stefano Morozzi04/2022
70672^338852+145797102005Stefano Morozzi11/2022
70682^338852-88497102005Stefano Morozzi12/2022
70692^338850+124843102005Stefano Morozzi02/2023
70702^338853-167695102005Stefano Morozzi02/2023
70712^338847+176013102004Stefano Morozzi12/2021
70722^338847-2365102004Stefano Morozzi12/2021
70732^338848+158941102004Stefano Morozzi03/2022
70742^338848+16671102004Stefano Morozzi06/2022
70752^338847-35061102004Stefano Morozzi06/2022
70762^338848+145063102004Stefano Morozzi11/2022
70772^338847-61885102004Stefano Morozzi12/2022
70782^338845+135831102003Stefano Morozzi03/2022
70792^338846+85695102003Stefano Morozzi03/2022
70802^338845+186525102003Stefano Morozzi04/2022
70812^338846-163473102003Stefano Morozzi12/2022
70822^338844-16077102003Stefano Morozzi01/2023
70832^338844-165143102003Stefano Morozzi01/2023
70842^338843-127261102002Stefano Morozzi12/2021
70852^338843+107205102002Stefano Morozzi02/2022
70862^338842-33185102002Stefano Morozzi04/2022
70872^338842+14227102002Stefano Morozzi05/2022
70882^338842+147973102002Stefano Morozzi11/2022
70968*10^102000+51102001Robert Price08/2019
70892^338838+150837102001Stefano Morozzi11/2021
70902^338838+141397102001Stefano Morozzi06/2022
70912^338839+194363102001Stefano Morozzi09/2022
70922^338838+95637102001Stefano Morozzi11/2022
70932^338839+171545102001Stefano Morozzi11/2022
70942^338837-40071102001Stefano Morozzi01/2023
70952^338838-90251102001Stefano Morozzi01/2023
70972^338835-150625102000Stefano Morozzi12/2021
70982^338834-32877102000Stefano Morozzi04/2022
7102(2^338832+642)/2101999Stefano Morozzi09/2020
70992^338833-100905101999Stefano Morozzi12/2021
71002^338831+54419101999Stefano Morozzi01/2022
71012^338831-63687101999Stefano Morozzi12/2022
71102^338829-113239101998Enzo Doria07/2014
71112^338828-113297101998Enzo Doria07/2014
71032^338830+25017101998Stefano Morozzi11/2021
71042^338831+321101998Stefano Morozzi11/2021
71052^338827-26197101998Stefano Morozzi12/2021
71062^338829+52727101998Stefano Morozzi01/2022
71072^338827-55461101998Stefano Morozzi02/2022
71082^338828-65859101998Stefano Morozzi01/2023
71092^338829+99365101998Stefano Morozzi02/2023
71122^338825-27453101997Stefano Morozzi12/2021
71132^338824+89355101997Stefano Morozzi05/2022
71142^338825-10995101997Stefano Morozzi06/2022
71152^338824+149865101997Stefano Morozzi02/2023
71162^338822+111175101996Stefano Morozzi03/2022
71172^338822+187819101996Stefano Morozzi04/2022
71182^338823+139545101996Stefano Morozzi05/2022
71192^338823-184905101996Stefano Morozzi06/2022
71202^338821-38919101996Stefano Morozzi12/2022
71212^338820+41317101995Stefano Morozzi06/2022
71222^338817+46019101995Stefano Morozzi11/2022
71232^338820+148083101995Stefano Morozzi11/2022
71242^338817-163251101995Stefano Morozzi12/2022
71252^338819-63705101995Stefano Morozzi12/2022
71262^338817-92509101995Stefano Morozzi02/2023
71272^338815+151175101994Stefano Morozzi12/2021
71282^338814-30011101994Stefano Morozzi02/2022
71292^338814+12309101994Stefano Morozzi04/2022
71302^338816-60647101994Stefano Morozzi06/2022
71312^338816+171043101994Stefano Morozzi11/2022
71322^338814-11513101994Stefano Morozzi12/2022
71332^338811-126999101993Stefano Morozzi12/2021
71342^338811+131621101993Stefano Morozzi02/2022
71352^338812-107637101993Stefano Morozzi03/2022
71362^338813+192725101993Stefano Morozzi09/2022
71372^338812+94731101993Stefano Morozzi11/2022
71382^338813+49205101993Stefano Morozzi02/2023
71392^338809-152755101992Stefano Morozzi01/2022
71402^338808+156531101992Stefano Morozzi01/2022
71412^338808+7885101992Stefano Morozzi02/2022
71422^338808-105797101992Stefano Morozzi02/2022
71432^338807-35899101992Stefano Morozzi06/2022
71442^338808-89175101992Stefano Morozzi01/2023
71452^338808-91475101992Stefano Morozzi01/2023
71462^338805+29879101991Stefano Morozzi01/2022
71472^338805+157925101991Stefano Morozzi02/2022
71482^338804-6809101991Stefano Morozzi03/2022
71492^338806-157095101991Stefano Morozzi03/2022
71502^338804-133173101991Stefano Morozzi04/2022
71512^338805-115189101991Stefano Morozzi01/2023
71522^338802+150403101990Stefano Morozzi11/2021
71532^338801+154587101990Stefano Morozzi01/2022
71542^338802-180603101990Stefano Morozzi02/2022
71552^338803-31921101990Stefano Morozzi03/2022
71562^338803-81735101990Stefano Morozzi03/2022
71572^338803+195141101990Stefano Morozzi11/2022
71582^338800+160141101989Stefano Morozzi03/2022
71592^338797-82489101989Stefano Morozzi03/2022
71642^338796+93101988Donovan Johnson06/2008
71602^338795+455101988Stefano Morozzi11/2021
71612^338795-102075101988Stefano Morozzi12/2021
71622^338794-3483101988Stefano Morozzi01/2022
71632^338796+179641101988Stefano Morozzi01/2022
71652^338793-5155101987Stefano Morozzi02/2022
71662^338793+111107101987Stefano Morozzi03/2022
71672^338791+112083101987Stefano Morozzi04/2022
71682^338792-85097101987Stefano Morozzi06/2022
7169(61*10^101986+47)/9101987Robert Price07/2022
71702^338787+53309101986Stefano Morozzi01/2022
71712^338787-153817101986Stefano Morozzi01/2022
71722^338789+56229101986Stefano Morozzi01/2022
71732^338790+6429101986Stefano Morozzi01/2022
71742^338788+131701101986Stefano Morozzi02/2022
71752^338785+104639101985Stefano Morozzi01/2022
71762^338784+37591101985Stefano Morozzi04/2022
71772^338786-9831101985Stefano Morozzi04/2022
71782^338783+109065101984Stefano Morozzi03/2022
71792^338779+86711101983Stefano Morozzi04/2022
71802^338778+113589101983Stefano Morozzi05/2022
71812^338775-30369101982Stefano Morozzi02/2022
71822^338774+159135101982Stefano Morozzi03/2022
71832^338776+113001101982Stefano Morozzi04/2022
71842^338774+117039101982Stefano Morozzi09/2022
71852^338775+167109101982Stefano Morozzi09/2022
71862^338774+147595101982Stefano Morozzi11/2022
71872^338772+42733101981Stefano Morozzi09/2022
71882^338771-138805101981Stefano Morozzi12/2022
71892^338768-181007101980Stefano Morozzi02/2022
71902^338768+108807101980Stefano Morozzi03/2022
71912^338767+169155101980Stefano Morozzi09/2022
71922^338769+95369101980Stefano Morozzi11/2022
71932^338769+195965101980Stefano Morozzi11/2022
71942^338770-12725101980Stefano Morozzi12/2022
71952^338768-140843101980Stefano Morozzi01/2023
71962^338764+138013101979Stefano Morozzi04/2022
71972^338765-160323101979Stefano Morozzi06/2022
71982^338765+124545101979Stefano Morozzi02/2023
7204lucasU(1373,1,32502)-lucasU(1373,1,32501)101978Mike Oakes05/2009
71992^338761+103671101978Stefano Morozzi01/2022
72002^338763-7651101978Stefano Morozzi03/2022
72012^338763+65591101978Stefano Morozzi06/2022
72022^338762-111875101978Stefano Morozzi12/2022
72032^338762-192237101978Stefano Morozzi02/2023
72052^338757-5151101977Stefano Morozzi02/2022
72062^338760-79037101977Stefano Morozzi02/2022
72072^338757-82143101977Stefano Morozzi03/2022
72082^338757+137007101977Stefano Morozzi04/2022
72092^338755+158531101976Stefano Morozzi03/2022
72102^338755+74081101976Stefano Morozzi02/2023
72112^338752-153353101975Stefano Morozzi01/2022
72122^338751+8001101975Stefano Morozzi02/2022
72132^338752+32977101975Stefano Morozzi02/2022
72142^338753-79233101975Stefano Morozzi02/2022
72152^338752-88157101975Stefano Morozzi12/2022
72162^338750-175625101974Stefano Morozzi12/2021
72172^338747-2731101974Stefano Morozzi12/2021
72182^338750-29597101974Stefano Morozzi02/2022
72192^338748+35095101974Stefano Morozzi03/2022
72202^338747+137475101974Stefano Morozzi04/2022
72212^338747+162005101974Stefano Morozzi04/2022
72222^338750+162237101974Stefano Morozzi04/2022
72232^338747-184365101974Stefano Morozzi04/2022
72242^338748+64341101974Stefano Morozzi05/2022
72252^338750+24445101974Stefano Morozzi02/2023
72262^338746+59577101973Stefano Morozzi03/2022
72272^338746+62055101973Stefano Morozzi04/2022
72282^338744+194065101973Stefano Morozzi09/2022
72292^338741+25359101972Stefano Morozzi12/2021
72302^338743+176981101972Stefano Morozzi12/2021
72312^338741+183029101972Stefano Morozzi02/2022
72322^338743-130309101972Stefano Morozzi02/2022
72332^338741+86349101972Stefano Morozzi04/2022
72342^338741+111561101972Stefano Morozzi04/2022
72352^338743+172301101972Stefano Morozzi11/2022
72362^338741-189969101972Stefano Morozzi01/2023
72372^338739+76959101971Stefano Morozzi12/2021
72382^338739-105957101971Stefano Morozzi02/2022
72392^338739+190149101971Stefano Morozzi05/2022
72402^338738+64947101971Stefano Morozzi05/2022
72412^338740+119947101971Stefano Morozzi11/2022
72422^338740-186837101971Stefano Morozzi12/2022
72432^338737+127547101970Stefano Morozzi12/2021
72442^338737+128591101970Stefano Morozzi01/2022
72452^338735-153165101970Stefano Morozzi01/2022
72462^338734+13719101970Stefano Morozzi05/2022
72472^338734-138225101970Stefano Morozzi12/2022
72482^338735-186129101970Stefano Morozzi12/2022
72492^338731-150895101969Stefano Morozzi12/2021
72502^338731+54911101969Stefano Morozzi01/2022


Find by discoverer :


Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: December, 05 2023 08:12 (Time in France)

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