PRP Records

Probable Primes Top 10000

(293016 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) !!!


Submit your PRPs


See the Top discoverers
See the Latest PRPs
Search by form



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 ?
65012^338889+195975102016Stefano Morozzi11/2022
65022^338889-117873102016Stefano Morozzi02/2023
65032^338886+177159102015Stefano Morozzi12/2021
65042^338885+40425102015Stefano Morozzi06/2022
65052^338884-13053102015Stefano Morozzi12/2022
65062^338885-112569102015Stefano Morozzi12/2022
65072^338880+11341102014Stefano Morozzi03/2022
65082^338880-160383102014Stefano Morozzi06/2022
65092^338880-161627102014Stefano Morozzi12/2022
65102^338879-1059102013Stefano Morozzi12/2021
65112^338879-54525102013Stefano Morozzi02/2022
65122^338877-82813102013Stefano Morozzi03/2022
65132^338878-185883102013Stefano Morozzi06/2022
65142^338879-60355102013Stefano Morozzi06/2022
65152^338878+43719102013Stefano Morozzi09/2022
65162^338879+122049102013Stefano Morozzi11/2022
65172^338874-15063102012Stefano Morozzi01/2023
65182^338874+148993102012Stefano Morozzi02/2023
65192^338871+7679102011Stefano Morozzi02/2022
65202^338872+61141102011Stefano Morozzi03/2022
65212^338872-183923102011Stefano Morozzi04/2022
65222^338873+19527102011Stefano Morozzi09/2022
65232^338870+70719102011Stefano Morozzi11/2022
6524(19*10^102011+287)/9/3102011Alfred Reich11/2022
65252^338870-37571102011Stefano Morozzi12/2022
65262^338872-138573102011Stefano Morozzi12/2022
65272^338873-63843102011Stefano Morozzi12/2022
65282^338868-5985102010Stefano Morozzi02/2022
65292^338867+38079102010Stefano Morozzi05/2022
65302^338868+140437102010Stefano Morozzi06/2022
65312^338868-110175102010Stefano Morozzi06/2022
65322^338868+123337102010Stefano Morozzi11/2022
65332^338867-13327102010Stefano Morozzi12/2022
65342^338868-11279102010Stefano Morozzi12/2022
65352^338868-115685102010Stefano Morozzi01/2023
65362^338864+158191102009Stefano Morozzi02/2022
65372^338865-39699102009Stefano Morozzi01/2023
65382^338865-40789102009Stefano Morozzi01/2023
65392^338862+60433102008Stefano Morozzi03/2022
65402^338861-9453102008Stefano Morozzi04/2022
65412^338861+98067102008Stefano Morozzi11/2022
65422^338862+146545102008Stefano Morozzi11/2022
65432^338863-186207102008Stefano Morozzi12/2022
65442^338860-41429102008Stefano Morozzi01/2023
65452^338862-115833102008Stefano Morozzi01/2023
65462^338863+74259102008Stefano Morozzi02/2023
65472^338863-193017102008Stefano Morozzi02/2023
65482^338858-190185102007Stefano Morozzi01/2023
65492^338855+102141102006Stefano Morozzi12/2021
65502^338856-27173102006Stefano Morozzi12/2021
65512^338856-102839102006Stefano Morozzi01/2022
65522^338855+79629102006Stefano Morozzi01/2022
65532^338856+47755102006Stefano Morozzi11/2022
65542^338850+27987102005Stefano Morozzi01/2022
65552^338853+111791102005Stefano Morozzi04/2022
65562^338852+145797102005Stefano Morozzi11/2022
65572^338852-88497102005Stefano Morozzi12/2022
65582^338850+124843102005Stefano Morozzi02/2023
65592^338853-167695102005Stefano Morozzi02/2023
65602^338847+176013102004Stefano Morozzi12/2021
65612^338847-2365102004Stefano Morozzi12/2021
65622^338848+158941102004Stefano Morozzi03/2022
65632^338848+16671102004Stefano Morozzi06/2022
65642^338847-35061102004Stefano Morozzi06/2022
65652^338848+145063102004Stefano Morozzi11/2022
65662^338847-61885102004Stefano Morozzi12/2022
65672^338845+135831102003Stefano Morozzi03/2022
65682^338846+85695102003Stefano Morozzi03/2022
65692^338845+186525102003Stefano Morozzi04/2022
65702^338846-163473102003Stefano Morozzi12/2022
65712^338844-16077102003Stefano Morozzi01/2023
65722^338844-165143102003Stefano Morozzi01/2023
65732^338843-127261102002Stefano Morozzi12/2021
65742^338843+107205102002Stefano Morozzi02/2022
65752^338842-33185102002Stefano Morozzi04/2022
65762^338842+14227102002Stefano Morozzi05/2022
65772^338842+147973102002Stefano Morozzi11/2022
65858*10^102000+51102001Robert Price08/2019
65782^338838+150837102001Stefano Morozzi11/2021
65792^338838+141397102001Stefano Morozzi06/2022
65802^338839+194363102001Stefano Morozzi09/2022
65812^338838+95637102001Stefano Morozzi11/2022
65822^338839+171545102001Stefano Morozzi11/2022
65832^338837-40071102001Stefano Morozzi01/2023
65842^338838-90251102001Stefano Morozzi01/2023
65862^338835-150625102000Stefano Morozzi12/2021
65872^338834-32877102000Stefano Morozzi04/2022
6591(2^338832+642)/2101999Stefano Morozzi09/2020
65882^338833-100905101999Stefano Morozzi12/2021
65892^338831+54419101999Stefano Morozzi01/2022
65902^338831-63687101999Stefano Morozzi12/2022
65992^338829-113239101998Enzo Doria07/2014
66002^338828-113297101998Enzo Doria07/2014
65922^338830+25017101998Stefano Morozzi11/2021
65932^338831+321101998Stefano Morozzi11/2021
65942^338827-26197101998Stefano Morozzi12/2021
65952^338829+52727101998Stefano Morozzi01/2022
65962^338827-55461101998Stefano Morozzi02/2022
65972^338828-65859101998Stefano Morozzi01/2023
65982^338829+99365101998Stefano Morozzi02/2023
66012^338825-27453101997Stefano Morozzi12/2021
66022^338824+89355101997Stefano Morozzi05/2022
66032^338825-10995101997Stefano Morozzi06/2022
66042^338824+149865101997Stefano Morozzi02/2023
66052^338822+111175101996Stefano Morozzi03/2022
66062^338822+187819101996Stefano Morozzi04/2022
66072^338823+139545101996Stefano Morozzi05/2022
66082^338823-184905101996Stefano Morozzi06/2022
66092^338821-38919101996Stefano Morozzi12/2022
66102^338820+41317101995Stefano Morozzi06/2022
66112^338817+46019101995Stefano Morozzi11/2022
66122^338820+148083101995Stefano Morozzi11/2022
66132^338817-163251101995Stefano Morozzi12/2022
66142^338819-63705101995Stefano Morozzi12/2022
66152^338817-92509101995Stefano Morozzi02/2023
66162^338815+151175101994Stefano Morozzi12/2021
66172^338814-30011101994Stefano Morozzi02/2022
66182^338814+12309101994Stefano Morozzi04/2022
66192^338816-60647101994Stefano Morozzi06/2022
66202^338816+171043101994Stefano Morozzi11/2022
66212^338814-11513101994Stefano Morozzi12/2022
66222^338811-126999101993Stefano Morozzi12/2021
66232^338811+131621101993Stefano Morozzi02/2022
66242^338812-107637101993Stefano Morozzi03/2022
66252^338813+192725101993Stefano Morozzi09/2022
66262^338812+94731101993Stefano Morozzi11/2022
66272^338813+49205101993Stefano Morozzi02/2023
66282^338809-152755101992Stefano Morozzi01/2022
66292^338808+156531101992Stefano Morozzi01/2022
66302^338808+7885101992Stefano Morozzi02/2022
66312^338808-105797101992Stefano Morozzi02/2022
66322^338807-35899101992Stefano Morozzi06/2022
66332^338808-89175101992Stefano Morozzi01/2023
66342^338808-91475101992Stefano Morozzi01/2023
66352^338805+29879101991Stefano Morozzi01/2022
66362^338805+157925101991Stefano Morozzi02/2022
66372^338804-6809101991Stefano Morozzi03/2022
66382^338806-157095101991Stefano Morozzi03/2022
66392^338804-133173101991Stefano Morozzi04/2022
66402^338805-115189101991Stefano Morozzi01/2023
66412^338802+150403101990Stefano Morozzi11/2021
66422^338801+154587101990Stefano Morozzi01/2022
66432^338802-180603101990Stefano Morozzi02/2022
66442^338803-31921101990Stefano Morozzi03/2022
66452^338803-81735101990Stefano Morozzi03/2022
66462^338803+195141101990Stefano Morozzi11/2022
66472^338800+160141101989Stefano Morozzi03/2022
66482^338797-82489101989Stefano Morozzi03/2022
66532^338796+93101988Donovan Johnson06/2008
66492^338795+455101988Stefano Morozzi11/2021
66502^338795-102075101988Stefano Morozzi12/2021
66512^338794-3483101988Stefano Morozzi01/2022
66522^338796+179641101988Stefano Morozzi01/2022
66542^338793-5155101987Stefano Morozzi02/2022
66552^338793+111107101987Stefano Morozzi03/2022
66562^338791+112083101987Stefano Morozzi04/2022
66572^338792-85097101987Stefano Morozzi06/2022
6658(61*10^101986+47)/9101987Robert Price07/2022
66592^338787+53309101986Stefano Morozzi01/2022
66602^338787-153817101986Stefano Morozzi01/2022
66612^338789+56229101986Stefano Morozzi01/2022
66622^338790+6429101986Stefano Morozzi01/2022
66632^338788+131701101986Stefano Morozzi02/2022
66642^338785+104639101985Stefano Morozzi01/2022
66652^338784+37591101985Stefano Morozzi04/2022
66662^338786-9831101985Stefano Morozzi04/2022
66672^338783+109065101984Stefano Morozzi03/2022
66682^338779+86711101983Stefano Morozzi04/2022
66692^338778+113589101983Stefano Morozzi05/2022
66702^338775-30369101982Stefano Morozzi02/2022
66712^338774+159135101982Stefano Morozzi03/2022
66722^338776+113001101982Stefano Morozzi04/2022
66732^338774+117039101982Stefano Morozzi09/2022
66742^338775+167109101982Stefano Morozzi09/2022
66752^338774+147595101982Stefano Morozzi11/2022
66762^338772+42733101981Stefano Morozzi09/2022
66772^338771-138805101981Stefano Morozzi12/2022
66782^338768-181007101980Stefano Morozzi02/2022
66792^338768+108807101980Stefano Morozzi03/2022
66802^338767+169155101980Stefano Morozzi09/2022
66812^338769+95369101980Stefano Morozzi11/2022
66822^338769+195965101980Stefano Morozzi11/2022
66832^338770-12725101980Stefano Morozzi12/2022
66842^338768-140843101980Stefano Morozzi01/2023
66852^338764+138013101979Stefano Morozzi04/2022
66862^338765-160323101979Stefano Morozzi06/2022
66872^338765+124545101979Stefano Morozzi02/2023
6693lucasU(1373,1,32502)-lucasU(1373,1,32501)101978Mike Oakes05/2009
66882^338761+103671101978Stefano Morozzi01/2022
66892^338763-7651101978Stefano Morozzi03/2022
66902^338763+65591101978Stefano Morozzi06/2022
66912^338762-111875101978Stefano Morozzi12/2022
66922^338762-192237101978Stefano Morozzi02/2023
66942^338757-5151101977Stefano Morozzi02/2022
66952^338760-79037101977Stefano Morozzi02/2022
66962^338757-82143101977Stefano Morozzi03/2022
66972^338757+137007101977Stefano Morozzi04/2022
66982^338755+158531101976Stefano Morozzi03/2022
66992^338755+74081101976Stefano Morozzi02/2023
67002^338752-153353101975Stefano Morozzi01/2022
67012^338751+8001101975Stefano Morozzi02/2022
67022^338752+32977101975Stefano Morozzi02/2022
67032^338753-79233101975Stefano Morozzi02/2022
67042^338752-88157101975Stefano Morozzi12/2022
67052^338750-175625101974Stefano Morozzi12/2021
67062^338747-2731101974Stefano Morozzi12/2021
67072^338750-29597101974Stefano Morozzi02/2022
67082^338748+35095101974Stefano Morozzi03/2022
67092^338747+137475101974Stefano Morozzi04/2022
67102^338747+162005101974Stefano Morozzi04/2022
67112^338750+162237101974Stefano Morozzi04/2022
67122^338747-184365101974Stefano Morozzi04/2022
67132^338748+64341101974Stefano Morozzi05/2022
67142^338750+24445101974Stefano Morozzi02/2023
67152^338746+59577101973Stefano Morozzi03/2022
67162^338746+62055101973Stefano Morozzi04/2022
67172^338744+194065101973Stefano Morozzi09/2022
67182^338741+25359101972Stefano Morozzi12/2021
67192^338743+176981101972Stefano Morozzi12/2021
67202^338741+183029101972Stefano Morozzi02/2022
67212^338743-130309101972Stefano Morozzi02/2022
67222^338741+86349101972Stefano Morozzi04/2022
67232^338741+111561101972Stefano Morozzi04/2022
67242^338743+172301101972Stefano Morozzi11/2022
67252^338741-189969101972Stefano Morozzi01/2023
67262^338739+76959101971Stefano Morozzi12/2021
67272^338739-105957101971Stefano Morozzi02/2022
67282^338739+190149101971Stefano Morozzi05/2022
67292^338738+64947101971Stefano Morozzi05/2022
67302^338740+119947101971Stefano Morozzi11/2022
67312^338740-186837101971Stefano Morozzi12/2022
67322^338737+127547101970Stefano Morozzi12/2021
67332^338737+128591101970Stefano Morozzi01/2022
67342^338735-153165101970Stefano Morozzi01/2022
67352^338734+13719101970Stefano Morozzi05/2022
67362^338734-138225101970Stefano Morozzi12/2022
67372^338735-186129101970Stefano Morozzi12/2022
674325295^10744+10744^25295101969Hans Havermann01/2019
674425712^9243+9243^25712101969Hans Havermann01/2019
67382^338731-150895101969Stefano Morozzi12/2021
67392^338731+54911101969Stefano Morozzi01/2022
67402^338731+85863101969Stefano Morozzi03/2022
67412^338732+185047101969Stefano Morozzi03/2022
67422^338733+193791101969Stefano Morozzi09/2022
67452^338729+69221101968Stefano Morozzi09/2022
67462^338728+123355101968Stefano Morozzi11/2022
67472^338730-87063101968Stefano Morozzi12/2022
67482^338726+128199101967Stefano Morozzi01/2022
67492^338727+127745101967Stefano Morozzi01/2022
67502^338724+32971101967Stefano Morozzi02/2022


Find by discoverer :


Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: June, 04 2023 08:38 (Time in France)

Go back
Valid XHTML 1.0!    Valid CSS!