PRP Records

Probable Primes Top 10000

(259919 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 ?
7001(2^261724+392705)/3/778786Tony Prest / Never Odd Or Even04/2014
7002(2^261724+629709)/5/578786Tony Prest / Never Odd Or Even05/2014
7003(2^261724+67397)/3/10378785Tony Prest / Never Odd Or Even04/2014
7004(2^261724+323043)/11/10378784Tony Prest / Never Odd Or Even04/2014
7005(2^261724+370143)/128978784Tony Prest / Never Odd Or Even04/2014
7006(2^261724+560259)/5/5/7378784Tony Prest / Never Odd Or Even05/2014
7007(2^261724+64109)/3/3/3/5/5/1978783Tony Prest / Never Odd Or Even04/2014
7008(2^261724+394491)/5578778783Tony Prest / Never Odd Or Even04/2014
7009(2^261724+625897)/23/88378783Tony Prest / Never Odd Or Even05/2014
7010(2^261724+292471)/13/97/15178782Tony Prest / Never Odd Or Even04/2014
7011(2^261724+154303)/11/67/12778782Tony Prest / Never Odd Or Even04/2014
7012(2^261724+313319)/3/3/3/3/5/11/11378782Tony Prest / Never Odd Or Even04/2014
7013(2^261724+383949)/5/41/43/8378781Tony Prest / Never Odd Or Even04/2014
7014(2^261724+626567)/3/331/63178781Tony Prest / Never Odd Or Even05/2014
7015(2^261724+32987)/3/3/19/223/103178780Tony Prest / Never Odd Or Even04/2014
7016(2^261724+5813)/3/599139778780Tony Prest / Never Odd Or Even04/2014
7017(2^261724+13481)/3/11/239/208778780Tony Prest / Never Odd Or Even04/2014
7018(2^261724+103399)/5/13/37/1060778780Tony Prest / Never Odd Or Even04/2014
7019(2^261724+18477)/367/6511178780Tony Prest / Never Odd Or Even04/2014
7020(2^261724+121285)/167/227/121778780Tony Prest / Never Odd Or Even04/2014
7021(2^261724+262037)/3/3/11/23/1851778780Tony Prest / Never Odd Or Even04/2014
7022(2^261724+586157)/3/7/457/125978780Tony Prest / Never Odd Or Even05/2014
7023(2^261724+315287)/3/4582254178779Tony Prest / Never Odd Or Even04/2014
7024(2^261724+605675)/3/3/3/103/20748178779Tony Prest / Never Odd Or Even05/2014
7025(2^261724+60031)/13/31/702487778778Tony Prest / Never Odd Or Even04/2014
7026(2^261724+121879)/5/78943321778778Tony Prest / Never Odd Or Even04/2014
7027(2^261724+290135)/3/3/8467/905978778Tony Prest / Never Odd Or Even04/2014
7028(2^261724+79857)/59/3847/16533178777Tony Prest / Never Odd Or Even04/2014
7029(2^261724+22883)/3/17/23/2351/1007978777Tony Prest / Never Odd Or Even04/2014
7030(2^261724+154799)/3/5/365565371978777Tony Prest / Never Odd Or Even04/2014
7031(2^261724+391001)/3/11/17/41/43/2407178777Tony Prest / Never Odd Or Even04/2014
7032(2^261724+622383)/34843/55071778777Tony Prest / Never Odd Or Even05/2014
7033(2^261724+302829)/5/37/37/3707814778776Tony Prest / Never Odd Or Even04/2014
7034(2^261724+315837)/43/217613624378776Tony Prest / Never Odd Or Even04/2014
7035(2^261724+582373)/53/307/311/3211778776Tony Prest / Never Odd Or Even05/2014
7036(2^261724+295283)/3/3/3/29/43/1781227378775Tony Prest / Never Odd Or Even04/2014
7037(2^261724+27491)/3/22787/10597844978774Tony Prest / Never Odd Or Even04/2014
7038(2^261724+392751)/193813/28782668978774Tony Prest / Never Odd Or Even04/2014
7039(2^261724+328501)/7/1091/3149561051978773Tony Prest / Never Odd Or Even04/2014
7040(2^261724+111267)/19/4637/1514056042778772Tony Prest / Never Odd Or Even04/2014
7041(2^261724+572133)/127/131/7378775233378772Tony Prest / Never Odd Or Even05/2014
7042(2^261724+608733)/59/7079/18451/90915178771Tony Prest / Never Odd Or Even05/2014
7043(2^261724+255449)/3/3/5/7/1759/10177/3315886978770Tony Prest / Never Odd Or Even04/2014
7044(2^261724+99509)/3/5/5/6507271/674965928978769Tony Prest / Never Odd Or Even04/2014
7045(2^261724+52501)/563/53939/2794283139178769Tony Prest / Never Odd Or Even04/2014
7046(2^261724+117089)/3/5/37/149/967/2027/416374178769Tony Prest / Never Odd Or Even04/2014
7047(2^261724+372571)/1487/9209/21559/226324978769Tony Prest / Never Odd Or Even04/2014
7048(2^261724+184549)/5/8699/44053/140932299778769Tony Prest / Never Odd Or Even04/2014
7049(2^261724+363351)/937/159683/5952320022778768Tony Prest / Never Odd Or Even04/2014
7050(2^261724+326501)/3/43/193/263/19403/25350140378768Tony Prest / Never Odd Or Even04/2014
7051(2^261724+629477)/3/17/17/137/263/1993/16187/5734778768Tony Prest / Never Odd Or Even05/2014
7052(2^261724+94871)/3/3/13/6734017/167342524578778766Tony Prest / Never Odd Or Even04/2014
7053(2^261724+25981)/577/1181/3643/51778633474378766Tony Prest / Never Odd Or Even04/2014
7055(23*2^261642+1)/9378762Lelio R Paula10/2012
7054(2^261724+351227)/3/3/3/3/71/13997/9595373/819397800778762Tony Prest / Never Odd Or Even04/2014
7056(2^261724+22571)/3/7243/7321/18046081/4573074121178761Tony Prest / Never Odd Or Even04/2014
7057(2^261724+56495)/3/3/3/7/7/13/9041/512818459/2370858911978760Tony Prest / Never Odd Or Even04/2014
705871293!4-478759Robert Price11/2019
7059(2^261630+3582)/278759Stefano Morozzi01/2020
7060(2^261724+604119)/5/7/7/41/14107/19681/211777/90145981/103602083412778750Tony Prest / Never Odd Or Even05/2014
7061(2^261536+846)/278730Stefano Morozzi01/2020
70622^261507-228778722Yves Minet04/2009
70638*10^78717+3978718Robert Price01/2017
7064(78557*2^261440+1)/378706Lelio R Paula06/2014
70656^101128-1643378693Enzo Doria02/2013
706620^60482+9978689Lelio R Paula03/2015
70672^261348-11063378674Enzo Doria05/2014
7068191^34487+278666Lelio R Paula05/2013
70692^261305-11013978661Enzo Doria04/2014
7070(82*10^78635-1)/978636Robert Price12/2014
707110^78632+8178633Robert Price03/2011
707210^78632-40269378632Patrick De Geest07/2013
70733*10^78631+1778632Robert Price03/2017
70742^261174-391178622Yves Minet04/2017
70752^261167+7484378620Enzo Doria04/2016
7076L(376121)+F(376122)78605Henri Lifchitz01/2007
707714^68580-2978602Lelio R Paula02/2015
707820603^6522+6522^2060378588Hans Havermann03/2020
7079(2^261056+646)/278586Stefano Morozzi01/2020
7080(73*10^78576-1)/978577Robert Price01/2015
7081(2^261020+2158)/278575Stefano Morozzi01/2020
7082(17*2^261026-1)/4045178574Lelio R Paula02/2014
70842^261001-19578570Lelio R Paula05/2012
708318532^17365+17365^1853278570Hans Havermann02/2020
70855*2^260950+978555Lelio R Paula06/2014
70862^260931-760578549Lelio R Paula07/2013
708719863^9002+9002^1986378546Hans Havermann02/2020
708815^66778-3278538Lelio R Paula02/2015
7089(11*2^260896-1)/24578537Lelio R Paula02/2014
709030^53166+2978533Norbert Schneider03/2017
7091lucasU(2403,1,23229)-lucasU(2403,1,23228)78529Mike Oakes05/2009
70927*3^164574-278523Lelio R Paula06/2014
709318518^17385+17385^1851878520Hans Havermann03/2020
70942^260830-11213378518Enzo Doria06/2014
709513^70486+4278518Lelio R Paula03/2015
709611^75386-708078507Enzo Doria01/2013
7098(86^40583-1)/8578506Paul Bourdelais08/2017
7097(2^260790+1914)/278506Stefano Morozzi01/2020
70995*10^78504+1178505Robert Price08/2019
71002^260711-5869578482Lelio R Paula07/2013
7101(2^260695+2258)/278477Stefano Morozzi01/2020
71022^260678-11106578472Enzo Doria05/2014
710321560^4359+4359^2156078466Hans Havermann02/2020
710418^62501-9778456Lelio R Paula02/2015
710553^45498-278452Lelio R Paula08/2013
7106(2^260549+642)/278433Stefano Morozzi01/2020
7107(2^260527+3906)/278427Stefano Morozzi01/2020
71082^260513-11112178423Enzo Doria05/2014
710937845!2-6478412Robert Price06/2015
71102^260469-11069578409Enzo Doria05/2014
7111(11*10^78408-113)/378409Robert Price01/2017
71122^260447+841578403Lelio R Paula07/2013
711337837!2-6478394Robert Price06/2015
7114(19*2^260379-1)/5378382Lelio R Paula02/2014
71152^260377-11323378382Enzo Doria07/2014
7116(2^260378+3750)/278382Stefano Morozzi01/2020
71189^82138+6^82138-2^8213878380Mike Oakes08/2010
711769^42624+278380Lelio R Paula05/2013
71192^260369-185971378379Enzo Doria03/2016
712018634^16067+16067^1863478374Hans Havermann02/2020
712114*10^78362+108978364Jens K. Andersen11/2007
7122(2^260317+3542)/278363Stefano Morozzi01/2020
71235^112070-5478334Lelio R Paula02/2015
712420120^7821+7821^2012078333Hans Havermann03/2020
7125(10^(2*39165+1)+54*10^39165-1)/978331Robert Price04/2017
7126(2^260195+3546)/278327Stefano Morozzi01/2020
71272^260182-11345378323Enzo Doria07/2014
7128f(16405)78319Robert Price09/2017
712918547^16678+16678^1854778309Hans Havermann02/2020
7130(78557*2^260084+1)/51978296Lelio R Paula06/2014
713210^78288+9^(78288+1)78289Robert Price08/2016
713110^78288+3910978289Patrick De Geest12/2016
713310^78288-21629978288Patrick De Geest12/2016
7134(2^260059+2430)/278286Stefano Morozzi01/2020
7135(2^260056+1662)/278285Stefano Morozzi01/2020
71365^111997+3678283Lelio R Paula02/2015
7137(2^260017+1602)/278273Stefano Morozzi01/2020
7138(2^260017+2162)/278273Stefano Morozzi01/2020
7139(21^59183+1)/2278252Paul Bourdelais03/2010
7140(88*10^78242-7)/978243Robert Price11/2014
71412*6^100547+778242Lelio R Paula10/2014
7142(2^259913+3470)/278242Stefano Morozzi01/2020
7143(2^259885+3726)/278233Stefano Morozzi01/2020
71442^259860-11108978226Enzo Doria05/2014
714518226^18359+18359^1822678223Norbert Schneider02/2020
7146(2^259833+3342)/278218Stefano Morozzi01/2020
714737^49875-278215Lelio R Paula09/2013
7148(13*10^78213+401)/978214Robert Price10/2017
71497*5^111893-478211Lelio R Paula10/2014
7150(11*2^259809-1)/143778209Lelio R Paula02/2014
71517^92511-678181Theodore Burton11/2005
7152(3^163859-4)/25378179Lelio R Paula10/2012
7153(2^259689+1346)/278174Stefano Morozzi01/2020
7154(27*2^259666-1)/62569178163Lelio R Paula02/2014
7155(2^259642+3202)/278160Stefano Morozzi01/2020
7156(2^259624+442)/278155Stefano Morozzi01/2020
71573*10^78146+1778147Robert Price03/2017
7158(2^259594+1558)/278146Stefano Morozzi01/2020
7159(576^28307+1)/57778137Richard Fischer01/2018
71602^259503+7433378119Enzo Doria04/2016
7161(2^259503+2438)/278118Stefano Morozzi01/2020
7162(31*2^259504-1)/1336578116Lelio R Paula02/2014
7164(58547^16384+1)/278111Lelio R Paula11/2011
71636^100379+1378111Lelio R Paula03/2015
71652^259469-10990978108Enzo Doria04/2014
716615^66413-2678108Lelio R Paula02/2015
71677^92410-926678096Mike Oakes02/2010
71682^259398+7579978087Enzo Doria04/2016
71692^259394+187618978086Enzo Doria07/2016
7170PIPrime(78073)78073Eric W. Weisstein07/2006
71715*2^259344-778072Lelio R Paula06/2014
7172(2^259347+990)/278071Stefano Morozzi01/2020
717314^68097-8778048Lelio R Paula02/2015
71742^259233-47557378037Paul Bourdelais03/2013
7175181^34554-278012Lelio R Paula10/2017
71763^163500-2878010Robert Price12/2013
7177(65*10^77992+691)/977993Robert Price08/2016
7178(2^259035+3930)/277978Stefano Morozzi01/2020
71792^259013-11259177971Enzo Doria06/2014
71817*10^77969-1177970Robert Price10/2017
7180(2^259011+2430)/277970Stefano Morozzi01/2020
71826^100193-100193^677966Norbert Schneider04/2017
7183(2^258974+2638)/277959Stefano Morozzi01/2020
718424214^1657+1657^2421477953Hans Havermann03/2020
7185(2^258945+674)/277950Stefano Morozzi01/2020
7186(2^258939+2450)/277949Stefano Morozzi01/2020
718718090^18307+18307^1809077941Norbert Schneider02/2020
71882^258863-11023577926Enzo Doria05/2014
71892^258852+160577923Lelio R Paula06/2013
719010^77919-12345678977919Robert Price02/2020
7191(11*10^77909+49)/377910Robert Price05/2016
71922*7^92187-977908Lelio R Paula10/2014
71932^258763-11015577896Enzo Doria04/2014
7194(2^258738+1062)/277888Stefano Morozzi01/2020
71952^258694-11038777875Enzo Doria05/2014
719611^74773-9477869Lelio R Paula02/2015
71976^100067+12577868Lelio R Paula03/2015
719815^66205+877864Lelio R Paula07/2014
7199(2^258637+17)/1860500377851Stefano Morozzi03/2020
72005^111373-1813677847Enzo Doria05/2014
7201(2^258566+1974)/277836Stefano Morozzi01/2020
72022^258524-10987777824Enzo Doria04/2014
7203(2^258515+3914)/277821Stefano Morozzi01/2020
72046^100002-1664377817Enzo Doria02/2013
7205(13*10^77811+347)/977812Robert Price10/2017
720665^42916+2877803Lelio R Paula01/2016
7207(2^258405+3302)/277788Stefano Morozzi01/2020
7208(89*10^77781-17)/977782Robert Price11/2015
72092^258382-11040577781Enzo Doria05/2014
72115^111278-1499677780Enzo Doria02/2013
7210(2^258378+2314)/277780Stefano Morozzi01/2020
721214^67862+6177779Lelio R Paula02/2015
721310^77777+4848377778Patrick De Geest11/2010
721410^77777-18324377777Patrick De Geest11/2010
7215(27*2^258352+1)/4377772Lelio R Paula08/2012
7216(2^258294+2454)/277754Stefano Morozzi01/2020
7217337^30756-1000277740Enzo Doria07/2012
721810^77726+9977727Robert Price03/2011
721910^77726-8594777726Patrick De Geest06/2013
722089^39870-277723Lelio R Paula08/2013
72217^91966-3277721Lelio R Paula02/2015
722235^50327+277709Lelio R Paula05/2013
722324^56298+2377704Norbert Schneider12/2016
7224(2^258128+3502)/277704Stefano Morozzi01/2020
7226(2^258105+78557)/1977697Lelio R Paula10/2012
7225(2^258102+2842)/277697Stefano Morozzi01/2020
72272^258079+17977690Lelio R Paula03/2012
72282^258062-11311177685Enzo Doria07/2014
7229(2^258022+2422)/277673Stefano Morozzi01/2020
723010^77669+12345678977670Robert Price10/2019
723110^77669+5912777670Patrick De Geest12/2019
723210^77669-10910377669Patrick De Geest12/2019
7233(2^258002+3822)/277667Stefano Morozzi01/2020
723480^40807-7977660Norbert Schneider03/2015
723570385!4-477658Robert Price11/2019
7236(10^77637+359)/977637Serge Batalov12/2014
72372^257862-16577625Lelio R Paula03/2012
7238(25*2^257853+1)/377623Lelio R Paula07/2012
7239(2^257832+1362)/277615Stefano Morozzi01/2020
7240(2^257869+1)/(3*18645362967379)77613Henri Lifchitz04/2005
72416^99728+7177604Lelio R Paula01/2015
72422^257778-11276777599Enzo Doria06/2014
7243(31*2^257771+1)/53777596Lelio R Paula07/2012
7244(2^257762+2214)/277594Stefano Morozzi01/2020
72452^257729-7377585Lelio R Paula03/2012
7246(2^257728+1890)/277584Stefano Morozzi01/2020
72482^257689-6377573Lelio R Paula03/2012
7247(47*10^77572+493)/977573Robert Price11/2017
7249(78557*2^257665+1)/610872577564Lelio R Paula06/2014
7250(3^162563+8)/288577559Lelio R Paula10/2012


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: March, 29 2020 17:41 (Time in France)

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