PRP Records

Probable Primes Top 10000

(280932 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 ?
5012^916639+60563275936Enzo Doria04/2016
5022^916385-2786383275860Enzo Doria11/2015
5032^915928+82081275722Enzo Doria09/2016
5042^915576-114137275616Enzo Doria01/2015
5052^914828+1876741275391Enzo Doria07/2016
5062^914757-2203275370Yves Minet12/2015
5072^911900+1871245274510Enzo Doria05/2016
5082^910490+283429274085Enzo Doria01/2017
5092^909988-1862249273934Enzo Doria12/2015
5102^909297+1879157273726Enzo Doria08/2016
5112^909257-1864423273714Enzo Doria01/2016
5122^908579-1861747273510Enzo Doria12/2015
5132^907635-2791597273226Enzo Doria01/2016
514(53^158341+1)/54273022Paul Bourdelais07/2019
5152^906594-113201272912Enzo Doria08/2014
5162^904773+1872167272364Enzo Doria06/2016
5176^349903+5272278Paul Bourdelais02/2021
5182^904149-1862473272176Enzo Doria12/2015
519(7*10^271757-61)/9271757Erik Branger03/2012
5202^902497+1880117271679Enzo Doria09/2016
5212^901858+77689271487Enzo Doria06/2016
5222^901372+1875301271341Enzo Doria06/2016
5232^899121-115033270663Enzo Doria07/2015
5242^898900+883021270596Enzo Doria12/2016
5252^898762-251511270555Enzo Doria12/2013
5262^898589+47270503Lelio R Paula03/2016
527187322*10^270343-187321270349Danilo Nitsche09/2013
52848358*10^270343-48357270348Danilo Nitsche09/2013
529(10^270343-1)/9270343Maksym Voznyy07/2007
5302^897867-3217270285Yves Minet12/2016
5312^897849-115273270280Enzo Doria07/2015
5322^896616-114179269909Enzo Doria12/2014
5332^894928+583561269401Enzo Doria04/2017
5342^894673-39343269324Enzo Doria08/2015
535F(1285607)268676Henri Lifchitz11/2008
5362^892112+187663268553Enzo Doria08/2016
537(10^268207+1)/11268206Paul Bourdelais02/2010
5382^890957-69583268205Enzo Doria12/2015
53932841!^2+32840!^2+...+2!^2+1!^2268128Serge Batalov07/2017
5402^890122-351401267954Enzo Doria07/2015
541(19^209359-1)/18267718Paul Bourdelais08/2010
542(85^138647+1)/86267507Paul Bourdelais07/2019
543(485^99523-1)/484267291Michael Stocker05/2020
5442^886324+77791266811Enzo Doria06/2016
5452^884714+1880527266326Enzo Doria10/2016
54611^255426+255426^11265999Serge Batalov05/2014
5472^883462-343421265949Enzo Doria07/2015
5482^883442+1875019265943Enzo Doria06/2016
5492^883333-291583265910Enzo Doria07/2015
5502^880411+1882673265031Enzo Doria12/2016
5512^879530-2788031264765Enzo Doria12/2015
5522^878118+2793079264340Enzo Doria02/2016
553(37^168527-1)/36264283Paul Bourdelais08/2019
5542^875748-461129263627Enzo Doria07/2015
5552^875181-2789923263456Enzo Doria12/2015
5562^875101-350083263432Enzo Doria08/2015
5572^874684+1883587263307Enzo Doria01/2017
5582^874616+1872211263286Enzo Doria05/2016
5593^551491+16263129Robert Price04/2020
5602^874073+2792957263123Enzo Doria02/2016
5612^873628+1878751262989Enzo Doria08/2016
5622^873288-269262886Yves Minet01/2015
5632^871991-4207262496Yves Minet03/2021
5642^871146-3173262242Yves Minet07/2016
5652^869601-163261776Yves Minet01/2015
5662^869326+282859261694Enzo Doria11/2016
5672^869035-114181261606Enzo Doria12/2014
5682^865715+80303260607Enzo Doria07/2016
5692^865048+1882411260406Enzo Doria12/2016
5702^864899-113871260361Enzo Doria10/2014
571(7*10^260198-61)/9260198Erik Branger11/2011
5722^864298-2788421260180Enzo Doria12/2015
5732^864039-2791357260102Enzo Doria01/2016
5742^863621-113833259976Enzo Doria10/2014
5752^862837+75767259740Enzo Doria05/2016
5762^862637-31259680Jorge Menendez05/2019
5772^862088+1874941259515Enzo Doria06/2016
5782^861987-134557259484Hans Havermann10/2018
5792^861516-1854029259343Enzo Doria09/2015
5802^860975-1853977259180Enzo Doria09/2015
5813^543128+16259138Robert Price04/2020
5822^860625-1858843259074Enzo Doria10/2015
5832^860110+77689258919Enzo Doria05/2016
5842^859600+1880371258766Enzo Doria10/2016
5852^859433+494711258716Makoto Morimoto10/2013
586(2^859433-44)/(2^2*3)258715Makoto Morimoto08/2019
587(2^859433+39899)/(73*3907*46301)258705Makoto Morimoto10/2016
5882^859240+1875271258658Enzo Doria06/2016
589Tau(971^15738)258571Nik Lygeros / Olivier Rozier05/2015
590(144^119671+1)/145258292Paul Bourdelais08/2019
591(11*2^857159-13)/15258031Renaud Lifchitz08/2011
5922^857016-633113257988Enzo Doria12/2013
5932^855732-113969257602Enzo Doria10/2014
5942^853682-3911256984Enzo Doria05/2014
59511^246668-90256879Enzo Doria12/2012
5962^851904-113939256449Enzo Doria10/2014
5972^851725-851725^2256395Henri Lifchitz03/2019
59811^246167-90256357Enzo Doria12/2012
5992^850700-569049256087Enzo Doria11/2013
60021^193601-20^193601255983Jean-Louis Charton02/2015
601(37^163193+1)/38255918Paul Bourdelais07/2019
6022^849177-114025255628Enzo Doria12/2014
6032^848502-3173255425Yves Minet07/2016
6042^848178-140291255328Enzo Doria01/2014
6052^847622-2441255160Yves Minet02/2016
6062^847291+182843255061Enzo Doria11/2016
6072^847174+1879429255025Enzo Doria09/2016
60824*29^174239+13361254809Curtis Bright04/2015
6092^845610-1868591254554Enzo Doria04/2016
6102^845484+81931254517Enzo Doria08/2016
6112^845402-114761254492Enzo Doria05/2015
6122^844334-2792441254170Enzo Doria02/2016
61311^243796-90253888Enzo Doria12/2012
61430^171733-29^171733253671Jean-Louis Charton10/2018
6152^842209+1876037253531Enzo Doria07/2016
6162^842123-59197253505Enzo Doria10/2015
6172^840797-3253106Paul Bourdelais06/2019
6182^840716-2969253081Yves Minet05/2016
6192^840358-462491252973Enzo Doria08/2015
6202^840310+1878379252959Enzo Doria08/2016
62111^242579-60252620Enzo Doria10/2012
62245^152659+2252378Robert Price09/2015
623(95^127583+1)/96252322Paul Bourdelais07/2019
6242^837725+1869377252181Enzo Doria05/2016
6252^837536-311039252124Enzo Doria06/2015
62621^190632-2252058Robert Price07/2015
6272^837242+1873297252035Enzo Doria06/2016
6282^836656-2787929251859Enzo Doria11/2015
6292^836380+1875541251776Enzo Doria07/2016
630(359^98327-1)/358251233Alexander Zhirkov11/2017
631tau(41^28288)250924Nik Lygeros / Olivier Rozier10/2013
6322^832511-461197250611Enzo Doria07/2015
6332^832505+1881137250609Enzo Doria11/2016
6342^832363+583295250567Enzo Doria12/2016
6352^832244-403635250531Enzo Doria01/2014
6362^831157+1880657250204Enzo Doria11/2016
6372^831088-7200899250183Enzo Doria01/2015
6382^830956-1349250143Yves Minet07/2015
6392^830037+282317249867Enzo Doria09/2016
6402^829589-113653249732Enzo Doria09/2014
6412^828281-3193249338Yves Minet08/2016
6422^828064-2785619249273Enzo Doria10/2015
6432^827602+60409249134Enzo Doria03/2016
64410^249010+348861249011Patrick De Geest04/2016
64510^249010-21249010Serge Batalov12/2014
6462^826733+1882907248872Enzo Doria12/2016
6472^825682+1876549248556Enzo Doria07/2016
6482^824991-114121248348Enzo Doria12/2014
6492^824642-362727248242Enzo Doria12/2013
6502^824565-114265248219Enzo Doria01/2015
651(73*10^248145-1)/9248146Robert Price01/2015
652(2^823337+1)/(3*362268281)247841Gord Palameta08/2018
653(2^822971-1)/6583769/28211445881/21255852651726486149207247700Robert Kinser09/2016
6542^822296+76501247536Enzo Doria05/2016
6552^821590-114167247324Enzo Doria12/2014
6562^821512-2790659247300Enzo Doria12/2015
6572^820077+382847246868Enzo Doria11/2016
6582^820001+81269246845Enzo Doria07/2016
6592^819463-59197246683Enzo Doria10/2015
6602^819296+80581246633Enzo Doria07/2016
6612^817160-350369245990Enzo Doria06/2015
66288093#+(653879#)/(88093#)245374Makoto Morimoto11/2017
6632^815111-113857245373Enzo Doria10/2014
6642^814914-4001245314Yves Minet05/2017
665846^83761-845^83761245200Jean-Louis Charton12/2012
6662^814356-2790449245146Enzo Doria12/2015
6672^814276-459029245122Enzo Doria04/2015
6682^814023+180923245046Enzo Doria07/2016
669(3^513059-2^513059)/(1026119*5430216457)244776Mike Oakes03/2017
6703^513007+16244767Robert Price04/2020
6712^811842-113675244389Enzo Doria09/2014
6722^811132-2787929244176Enzo Doria11/2015
6732^809746-2790971243758Enzo Doria01/2016
6742^808767-3295243464Yves Minet12/2016
6752^808621-113809243420Enzo Doria09/2014
6762^807724+1879621243150Enzo Doria09/2016
67720^186554-3242713Paul Bourdelais12/2020
6782^805843-113611242583Enzo Doria08/2014
6792^805745-459763242554Enzo Doria05/2015
6802^805353+782687242436Enzo Doria11/2016
6816^311257+5242206Paul Bourdelais02/2021
6822^804277-417933242112Enzo Doria01/2014
6832^803468-269039241868Enzo Doria10/2013
6842^803172+80851241779Enzo Doria07/2016
6853^506233-2241535Robert Price11/2013
6862^802025-25999241434Enzo Doria10/2013
687(3^505823+3^252912+1)/7241339Serge Batalov03/2014
6882^801303+1872923241217Enzo Doria05/2016
6892^800579-1862947240999Enzo Doria12/2015
6903^504206+2240568Luke W. Richards03/2018
6912^798973-26283240515Enzo Doria10/2013
6922^798671-69487240424Enzo Doria12/2015
6932^797220+79831239988Enzo Doria06/2016
6942^796910-26001239894Enzo Doria10/2013
6952^796598+653119239800Enzo Doria12/2016
6962^796432-1859729239750Enzo Doria11/2015
6972^796002-1852211239621Enzo Doria08/2015
6982^795709+75767239533Enzo Doria04/2016
6992^795708+81721239532Enzo Doria08/2016
7002^795468-2786249239460Enzo Doria10/2015
7012^795442+80779239452Enzo Doria07/2016
7022^795075-1852057239342Enzo Doria08/2015
703(86^123677+1)/87239252Paul Bourdelais01/2019
7042^794043+1875023239031Enzo Doria06/2016
7052^793347-69577238822Enzo Doria01/2016
7062^792988-344429238714Enzo Doria08/2015
7072^792700-2786369238627Enzo Doria11/2015
7082^792663-1844797238616Enzo Doria06/2015
7092^792605-291943238598Enzo Doria07/2015
710(2^792061-2^396031+1)/5238434Thomas Ritschel03/2014
7112^789373+1869377237625Enzo Doria05/2016
712((10^59387+1)^3*(10^59387+1+10^29694)-(10^118774+10^59387)*(10^29694-1)+10^178161)/27961237544Serge Batalov04/2015
7132^788942+1866409237496Enzo Doria02/2016
7142^788844-114329237466Enzo Doria01/2015
7152^788705-1859713237424Enzo Doria11/2015
7162^786180+1871971236664Enzo Doria05/2016
71711^227092-90236492Enzo Doria11/2012
7182^785260+1866361236387Enzo Doria02/2016
7192^785220+1880611236375Enzo Doria10/2016
72019^184650-2236122Robert Price10/2014
72110^236059+216513236060Patrick De Geest04/2016
72210^236059-20909236059Robert Price09/2015
723(87^121487-1)/86235625Paul Bourdelais12/2018
7242^782634-113981235597Enzo Doria11/2014
7252^782423+1879733235533Enzo Doria09/2016
7262^781682-2789543235310Enzo Doria12/2015
7272^780408-113453234927Enzo Doria08/2014
7282^780368-1864829234915Enzo Doria01/2016
7292^779593-1836559234681Enzo Doria05/2015
730(8713#+(549391#)/(8713#))/360295171234487Makoto Morimoto11/2017
731(5^335429+1)/6234455Paul Bourdelais08/2010
7322^778395-113617234321Enzo Doria08/2014
7332^776245-2792353233674Enzo Doria02/2016
7342^776060-114029233618Enzo Doria11/2014
7352^775987-2789557233596Enzo Doria12/2015
7362^775672+1866721233501Enzo Doria03/2016
737(11^223999+1)/12233270Paul Bourdelais02/2010
7382^774118+1885789233033Enzo Doria04/2017
73921^176191-20^176191232964Jean-Louis Charton01/2015
7402^773679-113425232901Enzo Doria08/2014
74110^232599+192489232600Patrick De Geest12/2013
74210^232599-3232599Markus Tervooren10/2010
7432^772552-458879232562Enzo Doria04/2015
7442^772214+1874899232460Enzo Doria06/2016
7452^771994-1862771232394Enzo Doria12/2015
7462^771889+1876037232362Enzo Doria07/2016
7472^771660+1866511232293Enzo Doria02/2016
7485^332150-18188232163Enzo Doria06/2014
7493^485977-2^485977231870Mike Oakes09/2009
7502^770082-114161231818Enzo Doria01/2015


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: April, 13 2021 12:02 (Time in France)

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