PRP Records

Probable Primes Top 10000

(253538 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 ?
1001(7*10^187645+53)/3187646Robert Price05/2018
10022^623146+1879609187586Enzo Doria09/2016
1003(5*10^187471+91)/3187472Robert Price04/2018
10042^622500+81931187392Enzo Doria08/2016
10052^622300-1861739187331Enzo Doria12/2015
1006(38*10^187281+349)/9187282Robert Price10/2018
10072^622052+76771187257Enzo Doria05/2016
10082^622005-24091187243Enzo Doria08/2013
10092^621879-351787187205Enzo Doria07/2015
10102^621700+79411187151Enzo Doria06/2016
1011(2*10^187062-71)/3187062Robert Price12/2017
10122^620929-113203186919Enzo Doria07/2014
101310^186842+168223186843Patrick De Geest07/2018
101410^186842-8001186842Robert Price03/2018
10152^620347-1777186744Lelio R Paula07/2013
101611^179143-4170186559Enzo Doria12/2012
1017(5^266863+1)/6186529Paul Bourdelais07/2010
10182^619297-2792353186427Enzo Doria02/2016
1019(49*10^186409+383)/9186410Robert Price04/2019
10202^618940-460139186320Enzo Doria06/2015
10212^618046+74179186051Enzo Doria04/2016
10223*10^186019+11186020Robert Price07/2018
1023(16*10^185978-19)/3185979Robert Price02/2019
10242*10^185930-3185931Robert Price07/2015
1025(82^97151+1)/83185928Paul Bourdelais10/2017
10264*10^185905+91185906Robert Price08/2018
1027(37*10^185811+377)/9185812Robert Price11/2018
10282^617250+9385185811Lelio R Paula07/2013
102939^116749+2185756Robert Price04/2015
10302^616924-39719185713Enzo Doria09/2015
10312^616712+1867621185649Enzo Doria04/2016
1032(3^388897+2^388897)/5185551Jean-Louis Charton09/2011
10338*10^185529-67185530Robert Price08/2019
10344*10^185355+9185356Robert Price05/2015
10352^615622+76639185321Enzo Doria05/2016
10362^615591+1879223185312Enzo Doria08/2016
10372^615503+1876643185285Enzo Doria07/2016
10385^265007-4^265007185232Jean-Louis Charton02/2013
1039(4*10^185221-91)/3185222Robert Price03/2018
10402^614783-2790097185069Enzo Doria12/2015
10412^614745-29323185057Enzo Doria07/2015
1042(((((((((((2^3+3)^3+30)^3+6)^3+80)^3+12)^3+450)^3+894)^3+3636)^3+70756)^3+97220)^3+66768)^3+300840185052Serge Batalov07/2013
1043(49*10^184993-67)/9184994Robert Price03/2019
1044(14*10^184950+211)/9184951Robert Price04/2018
10452^614315+81353184928Enzo Doria08/2016
10462^614294-1849961184921Enzo Doria08/2015
10472^614266+1877809184913Enzo Doria08/2016
10482^613715-1860727184747Enzo Doria11/2015
10492*10^184723+41184724Robert Price05/2018
10502^613487-349987184678Enzo Doria07/2015
1051(95^93377+1)/96184672Paul Bourdelais11/2017
105214^161089-161089^14184629Serge Batalov05/2016
10532^613033-114621184542Enzo Doria05/2015
1054(9^193247+1)/10184404Paul Bourdelais02/2010
10552^612341-1604809184334Enzo Doria05/2015
1056(2^611999-1)/18464214225958267477777390354183184199Dario Alpern06/2017
1057(14*10^184150+37)/3184151Robert Price12/2018
10582^611731-4837184150Yves Minet08/2018
10593*10^184124-7184125Robert Price08/2015
10602^611628-24537184119Enzo Doria08/2013
10613*10^184110+13184111Robert Price07/2018
10622^611460+71881184068Enzo Doria04/2016
10634*10^184004-63184005Robert Price10/2018
10642^610982-1867301183924Enzo Doria03/2016
10653*10^183872-49183873Robert Price07/2018
10662^610597+1178897183809Enzo Doria05/2016
1067(17*10^183764+31)/3183765Robert Price01/2019
1068(28*10^183760-1)/9183761Serge Batalov10/2014
10692^610401+1277183750Lelio R Paula07/2013
10702^610356-1849019183736Enzo Doria08/2015
1071(63^102103+1)/64183717Paul Bourdelais10/2017
1072(2^610289+1)/(3*528882550291)183704Gord Palameta08/2018
1073(4*10^183659+149)/9183659Robert Price04/2018
10742^609846-1834251183582Enzo Doria07/2015
107511^176176-240183469Enzo Doria11/2012
1076(41^113749+1)/42183451Paul Bourdelais11/2017
1077(101^91463+1)/102183320Paul Bourdelais11/2017
10782^608965-113989183317Enzo Doria10/2014
1079A005165(43592)183312Serge Batalov07/2017
1080(61*10^183294+119)/9183295Robert Price05/2019
10812^608814-461261183272Enzo Doria06/2015
1082(163*10^183227-1)/9183229Serge Batalov12/2014
10832^608541-608541^2183190Henri Lifchitz02/2018
10842^608293+143807183115Enzo Doria10/2016
10852^608164-462419183076Enzo Doria08/2015
10862^607950-1862303183012Enzo Doria12/2015
1087(46*10^182896+683)/9182897Robert Price03/2019
10882^607101+1871987182756Enzo Doria05/2016
10892^606869-69175182686Enzo Doria11/2015
10903*10^182614-11182615Robert Price07/2018
10912^606560-357182593Enzo Doria05/2014
10922^605687+1866983182330Enzo Doria03/2016
10932^605655-114445182321Enzo Doria02/2015
1094(20^140053+1)/21182212Paul Bourdelais04/2010
1095(14*10^182177-221)/9182178Robert Price04/2018
10962^605174-112751182176Enzo Doria06/2014
10972^604761+1874507182052Enzo Doria06/2016
10982^604705+1871957182035Enzo Doria05/2016
1099(14*10^182000+229)/9182001Robert Price03/2018
1100(10^181996+41)/3181996Robert Price12/2017
1101(5*10^181950-101)/3181951Robert Price04/2018
11022^603915+75233181797Enzo Doria04/2016
110311^174145-360181354Enzo Doria10/2012
11042^602351-396765181326Enzo Doria08/2013
11056*10^181306+17181307Robert Price04/2019
11062^601957-113833181208Enzo Doria09/2014
110766^99581-65^99581181193Robert Price09/2013
110810^181182+383973181183Patrick De Geest04/2016
110910^181182-21181182Serge Batalov12/2014
1110(5*10^181127-29)/3181128Robert Price03/2018
11112^601521-29143181076Enzo Doria07/2015
11122^601442-2797811181053Enzo Doria04/2016
11135*10^180992-9180993Robert Price05/2015
111410^180979+79477180980Patrick De Geest04/2016
111510^180979+107739180980Patrick De Geest04/2016
111610^180979-11180979Serge Batalov12/2014
11172^601023-113851180926Enzo Doria10/2014
11183*10^180852+29180853Robert Price05/2018
11192^600300-1852559180709Enzo Doria08/2015
1120(10^180689+71)/9180689Serge Batalov07/2015
11212^600209+76487180681Enzo Doria05/2016
11222^599702-369885180529Enzo Doria11/2013
1123Tau(643^11688)180524Nik Lygeros / Olivier Rozier05/2015
1124(2951*29^123418-3)/4180490Curtis Bright05/2015
1125(29*10^180432-17)/3180433Robert Price09/2019
11264*10^180360+93180361Robert Price08/2018
11272^598942+80779180300Enzo Doria07/2016
1128(38*10^180296+403)/9180297Robert Price10/2018
11292^598591-1844797180194Enzo Doria06/2015
1130(100^90089+1)/101180176Paul Bourdelais08/2017
11316*10^179970+91179971Robert Price05/2019
1132(4*10^179963-79)/3179964Robert Price02/2018
1133Gamma-Prime(179849)179849Eric W. Weisstein06/2011
11342^597424-1859729179843Enzo Doria11/2015
1135Phi(180683,10)179760Maksym Voznyy09/2015
1136(10^180683-1)*9/(10^643-1)/(10^281-1)179760Robert Price07/2016
1137(3^376657-2^376657)/22301107657179701Mike Oakes04/2017
1138(29*10^179697+223)/9179698Robert Price09/2018
11392^596690-461261179622Enzo Doria07/2015
11402^596684-113939179620Enzo Doria10/2014
11412*10^179602+63179603Robert Price05/2018
11423^375887-112696179344Enzo Doria07/2014
11434*10^179265-71179266Robert Price12/2018
11442^595144-1850429179157Enzo Doria08/2015
11453*10^179138+89179139Robert Price10/2018
11462^594531+82253178972Enzo Doria09/2016
11472^594260-2787899178891Enzo Doria11/2015
11482^593631+101381178701Jorge Menendez04/2018
114910^178695+136719178696Patrick De Geest05/2016
115010^178695-71178695Serge Batalov12/2014
1151(2^148330+1)^4-2178608Cletus Emmanuel12/2003
11522^593222-14145178578Jorge Menendez10/2017
11532^593178+1867219178565Enzo Doria03/2016
1154(18^142031-1)/17178287Paul Bourdelais03/2010
1155(5*10^178206+91)/3178207Robert Price04/2018
11562^591872-291929178172Enzo Doria07/2015
11572^591682-286871178115Enzo Doria07/2015
11584*10^178091+9178092Robert Price05/2015
1159410747#+478483178007Makoto Morimoto02/2016
11603*10^177872+73177873Robert Price08/2018
11612^590762-396765177838Enzo Doria08/2013
1162(136*10^177754-1)/9177756Serge Batalov12/2014
1163ReverseConsecutiveIntegerPrime(37765)177719Eric W. Weisstein04/2010
1164(11*10^177466-113)/3177467Robert Price10/2018
11653*10^177373-97177374Robert Price07/2018
11662^589204+1881151177369Enzo Doria11/2016
11672^589132-69479177347Enzo Doria01/2016
11682^588912-113519177281Enzo Doria08/2014
116915^150706+2177245Robert Price06/2015
11702^588194-1861001177065Enzo Doria11/2015
1171(19*10^176932+521)/9176933Robert Price05/2018
1172(8*10^176908+43)/3176909Robert Price06/2018
11732^587560-113699176874Enzo Doria09/2014
11745^252763-12862176674Enzo Doria05/2014
11752^586804+81721176646Enzo Doria08/2016
1176(10^176584+77)/3176584Robert Price01/2018
11772^586570+1874419176576Enzo Doria06/2016
11782^585994-3311176402Yves Minet12/2014
11792^585832-112799176354Enzo Doria07/2014
11802^585336-461039176204Enzo Doria06/2015
11812^585095-1848127176132Enzo Doria08/2015
11822^584950-115451176088Enzo Doria07/2015
11832^584671-3697176004Yves Minet03/2017
1184(13*10^175965-37)/3175966Robert Price01/2019
11852*10^175860-87175861Robert Price04/2018
1186(86*10^175774-221)/9175775Robert Price09/2019
118710^175608+2971175609Mike Oakes05/2010
118810^175608-55829175608Patrick De Geest09/2013
11892^583051+1879793175516Enzo Doria09/2016
11902^582860-23829175459Enzo Doria08/2013
11912^582670-23913175402Enzo Doria08/2013
11922^582573-29563175372Enzo Doria08/2015
11932^582435-1862767175331Enzo Doria12/2015
1194(11*10^175250-149)/3175251Robert Price09/2018
11952^582072-1848599175222Enzo Doria08/2015
1196(404267#+465)/(3^4*5^2*31)175208Makoto Morimoto06/2019
1197(220221^32768+1)/2175075Serge Batalov03/2018
11982^581560+1874911175068Enzo Doria06/2016
1199(75^93307-1)/74174955Paul Bourdelais09/2017
1200(47*10^174790+493)/9174791Robert Price03/2019
12012^580528-114035174757Enzo Doria11/2014
1202(19*10^174754+737)/9174755Robert Price07/2018
1203(35*10^174704-377)/9174705Robert Price07/2018
12043*10^174665-97174666Robert Price07/2018
12052^580046-459161174612Enzo Doria05/2015
12062^579992-39779174595Enzo Doria09/2015
1207(2*10^174301-71)/3174301Robert Price12/2017
1208(2^578696+1)/257174203Lelio R Paula09/2015
12092^578656-1851809174193Enzo Doria08/2015
12102^578583-113917174171Enzo Doria10/2014
12112^578434-83174126Yves Minet07/2017
121215^148048-2174118Robert Price06/2015
12135*10^174101+81174102Robert Price03/2019
12142^578346+2794249174100Enzo Doria03/2016
12155*10^173904-13173905Robert Price01/2019
1216(71*10^173854-287)/9173855Robert Price09/2019
1217(43*10^173826+101)/9173827Robert Price11/2018
12182*10^173809-87173810Robert Price04/2018
1219(L!41532)/2173772Serge Batalov07/2017
12202^577146-49877173739Enzo Doria10/2015
12212^576889+49727173661Enzo Doria09/2016
1222(2^576551-1)/4612409/64758208321/242584327930759173528Dario Alpern06/2014
1223(13*10^173467-37)/3173468Robert Price01/2019
12242^576016-113919173399Enzo Doria11/2014
12252^575911-1849387173367Enzo Doria08/2015
1226(16*10^173251+107)/3173252Robert Price03/2019
12272^575196-114053173152Enzo Doria11/2014
12282^574591-115387172970Enzo Doria07/2015
12292^574328+81121172890Enzo Doria07/2016
1230(115*10^172862-1)/3172864Serge Batalov12/2014
12313*10^172812+13172813Robert Price07/2018
12324*5^247217-9172798Lelio R Paula10/2015
123369061#+(467617#)/(69061#)172766Makoto Morimoto10/2017
12345*10^172692+57172693Robert Price12/2018
12352^573668-2782319172692Enzo Doria09/2015
12362^573444-1855109172624Enzo Doria09/2015
12373^361608+2172531Robert Price08/2014
1238(54^99563+1)/55172481Paul Bourdelais11/2017
12392^572592-114893172368Enzo Doria05/2015
12405^246497-4^246497172295Jean-Louis Charton11/2008
1241(38^109037-1)/37172254Paul Bourdelais10/2017
12423*10^172219+73172220Robert Price08/2018
1243(36^110503+1)/37171975Lelio R Paula04/2017
1244(22*10^171929-73)/3171930Robert Price04/2019
12454*10^171891-63171892Robert Price10/2018
12462^570980-2782289171883Enzo Doria09/2015
1247(2^(12*47563+13)-9)/7171818Kevin Acres11/2013
12487*10^171535-99171536Robert Price06/2019
12492^569563-1854607171456Enzo Doria09/2015
12503*10^171391+59171392Robert Price08/2018


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: September, 14 2019 09:41 (Time in France)

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