PRP Records

Probable Primes Top 10000

(253466 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(82^97151+1)/83185928Paul Bourdelais10/2017
10024*10^185905+91185906Robert Price08/2018
1003(37*10^185811+377)/9185812Robert Price11/2018
10042^617250+9385185811Lelio R Paula07/2013
100539^116749+2185756Robert Price04/2015
10062^616924-39719185713Enzo Doria09/2015
10072^616712+1867621185649Enzo Doria04/2016
1008(3^388897+2^388897)/5185551Jean-Louis Charton09/2011
10098*10^185529-67185530Robert Price08/2019
10104*10^185355+9185356Robert Price05/2015
10112^615622+76639185321Enzo Doria05/2016
10122^615591+1879223185312Enzo Doria08/2016
10132^615503+1876643185285Enzo Doria07/2016
10145^265007-4^265007185232Jean-Louis Charton02/2013
1015(4*10^185221-91)/3185222Robert Price03/2018
10162^614783-2790097185069Enzo Doria12/2015
10172^614745-29323185057Enzo Doria07/2015
1018(((((((((((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
1019(49*10^184993-67)/9184994Robert Price03/2019
1020(14*10^184950+211)/9184951Robert Price04/2018
10212^614315+81353184928Enzo Doria08/2016
10222^614294-1849961184921Enzo Doria08/2015
10232^614266+1877809184913Enzo Doria08/2016
10242^613715-1860727184747Enzo Doria11/2015
10252*10^184723+41184724Robert Price05/2018
10262^613487-349987184678Enzo Doria07/2015
1027(95^93377+1)/96184672Paul Bourdelais11/2017
102814^161089-161089^14184629Serge Batalov05/2016
10292^613033-114621184542Enzo Doria05/2015
1030(9^193247+1)/10184404Paul Bourdelais02/2010
10312^612341-1604809184334Enzo Doria05/2015
1032(2^611999-1)/18464214225958267477777390354183184199Dario Alpern06/2017
1033(14*10^184150+37)/3184151Robert Price12/2018
10342^611731-4837184150Yves Minet08/2018
10353*10^184124-7184125Robert Price08/2015
10362^611628-24537184119Enzo Doria08/2013
10373*10^184110+13184111Robert Price07/2018
10382^611460+71881184068Enzo Doria04/2016
10394*10^184004-63184005Robert Price10/2018
10402^610982-1867301183924Enzo Doria03/2016
10413*10^183872-49183873Robert Price07/2018
10422^610597+1178897183809Enzo Doria05/2016
1043(17*10^183764+31)/3183765Robert Price01/2019
1044(28*10^183760-1)/9183761Serge Batalov10/2014
10452^610401+1277183750Lelio R Paula07/2013
10462^610356-1849019183736Enzo Doria08/2015
1047(63^102103+1)/64183717Paul Bourdelais10/2017
1048(2^610289+1)/(3*528882550291)183704Gord Palameta08/2018
1049(4*10^183659+149)/9183659Robert Price04/2018
10502^609846-1834251183582Enzo Doria07/2015
105111^176176-240183469Enzo Doria11/2012
1052(41^113749+1)/42183451Paul Bourdelais11/2017
1053(101^91463+1)/102183320Paul Bourdelais11/2017
10542^608965-113989183317Enzo Doria10/2014
1055A005165(43592)183312Serge Batalov07/2017
1056(61*10^183294+119)/9183295Robert Price05/2019
10572^608814-461261183272Enzo Doria06/2015
1058(163*10^183227-1)/9183229Serge Batalov12/2014
10592^608541-608541^2183190Henri Lifchitz02/2018
10602^608293+143807183115Enzo Doria10/2016
10612^608164-462419183076Enzo Doria08/2015
10622^607950-1862303183012Enzo Doria12/2015
1063(46*10^182896+683)/9182897Robert Price03/2019
10642^607101+1871987182756Enzo Doria05/2016
10652^606869-69175182686Enzo Doria11/2015
10663*10^182614-11182615Robert Price07/2018
10672^606560-357182593Enzo Doria05/2014
10682^605687+1866983182330Enzo Doria03/2016
10692^605655-114445182321Enzo Doria02/2015
1070(20^140053+1)/21182212Paul Bourdelais04/2010
1071(14*10^182177-221)/9182178Robert Price04/2018
10722^605174-112751182176Enzo Doria06/2014
10732^604761+1874507182052Enzo Doria06/2016
10742^604705+1871957182035Enzo Doria05/2016
1075(14*10^182000+229)/9182001Robert Price03/2018
1076(10^181996+41)/3181996Robert Price12/2017
1077(5*10^181950-101)/3181951Robert Price04/2018
10782^603915+75233181797Enzo Doria04/2016
107911^174145-360181354Enzo Doria10/2012
10802^602351-396765181326Enzo Doria08/2013
10816*10^181306+17181307Robert Price04/2019
10822^601957-113833181208Enzo Doria09/2014
108366^99581-65^99581181193Robert Price09/2013
108410^181182+383973181183Patrick De Geest04/2016
108510^181182-21181182Serge Batalov12/2014
1086(5*10^181127-29)/3181128Robert Price03/2018
10872^601521-29143181076Enzo Doria07/2015
10882^601442-2797811181053Enzo Doria04/2016
10895*10^180992-9180993Robert Price05/2015
109010^180979+79477180980Patrick De Geest04/2016
109110^180979+107739180980Patrick De Geest04/2016
109210^180979-11180979Serge Batalov12/2014
10932^601023-113851180926Enzo Doria10/2014
10943*10^180852+29180853Robert Price05/2018
10952^600300-1852559180709Enzo Doria08/2015
1096(10^180689+71)/9180689Serge Batalov07/2015
10972^600209+76487180681Enzo Doria05/2016
10982^599702-369885180529Enzo Doria11/2013
1099Tau(643^11688)180524Nik Lygeros / Olivier Rozier05/2015
1100(2951*29^123418-3)/4180490Curtis Bright05/2015
11014*10^180360+93180361Robert Price08/2018
11022^598942+80779180300Enzo Doria07/2016
1103(38*10^180296+403)/9180297Robert Price10/2018
11042^598591-1844797180194Enzo Doria06/2015
1105(100^90089+1)/101180176Paul Bourdelais08/2017
11066*10^179970+91179971Robert Price05/2019
1107(4*10^179963-79)/3179964Robert Price02/2018
1108Gamma-Prime(179849)179849Eric W. Weisstein06/2011
11092^597424-1859729179843Enzo Doria11/2015
1110Phi(180683,10)179760Maksym Voznyy09/2015
1111(10^180683-1)*9/(10^643-1)/(10^281-1)179760Robert Price07/2016
1112(3^376657-2^376657)/22301107657179701Mike Oakes04/2017
1113(29*10^179697+223)/9179698Robert Price09/2018
11142^596690-461261179622Enzo Doria07/2015
11152^596684-113939179620Enzo Doria10/2014
11162*10^179602+63179603Robert Price05/2018
11173^375887-112696179344Enzo Doria07/2014
11184*10^179265-71179266Robert Price12/2018
11192^595144-1850429179157Enzo Doria08/2015
11203*10^179138+89179139Robert Price10/2018
11212^594531+82253178972Enzo Doria09/2016
11222^594260-2787899178891Enzo Doria11/2015
11232^593631+101381178701Jorge Menendez04/2018
112410^178695+136719178696Patrick De Geest05/2016
112510^178695-71178695Serge Batalov12/2014
1126(2^148330+1)^4-2178608Cletus Emmanuel12/2003
11272^593222-14145178578Jorge Menendez10/2017
11282^593178+1867219178565Enzo Doria03/2016
1129(18^142031-1)/17178287Paul Bourdelais03/2010
1130(5*10^178206+91)/3178207Robert Price04/2018
11312^591872-291929178172Enzo Doria07/2015
11322^591682-286871178115Enzo Doria07/2015
11334*10^178091+9178092Robert Price05/2015
1134410747#+478483178007Makoto Morimoto02/2016
11353*10^177872+73177873Robert Price08/2018
11362^590762-396765177838Enzo Doria08/2013
1137(136*10^177754-1)/9177756Serge Batalov12/2014
1138ReverseConsecutiveIntegerPrime(37765)177719Eric W. Weisstein04/2010
1139(11*10^177466-113)/3177467Robert Price10/2018
11403*10^177373-97177374Robert Price07/2018
11412^589204+1881151177369Enzo Doria11/2016
11422^589132-69479177347Enzo Doria01/2016
11432^588912-113519177281Enzo Doria08/2014
114415^150706+2177245Robert Price06/2015
11452^588194-1861001177065Enzo Doria11/2015
1146(19*10^176932+521)/9176933Robert Price05/2018
1147(8*10^176908+43)/3176909Robert Price06/2018
11482^587560-113699176874Enzo Doria09/2014
11495^252763-12862176674Enzo Doria05/2014
11502^586804+81721176646Enzo Doria08/2016
1151(10^176584+77)/3176584Robert Price01/2018
11522^586570+1874419176576Enzo Doria06/2016
11532^585994-3311176402Yves Minet12/2014
11542^585832-112799176354Enzo Doria07/2014
11552^585336-461039176204Enzo Doria06/2015
11562^585095-1848127176132Enzo Doria08/2015
11572^584950-115451176088Enzo Doria07/2015
11582^584671-3697176004Yves Minet03/2017
1159(13*10^175965-37)/3175966Robert Price01/2019
11602*10^175860-87175861Robert Price04/2018
116110^175608+2971175609Mike Oakes05/2010
116210^175608-55829175608Patrick De Geest09/2013
11632^583051+1879793175516Enzo Doria09/2016
11642^582860-23829175459Enzo Doria08/2013
11652^582670-23913175402Enzo Doria08/2013
11662^582573-29563175372Enzo Doria08/2015
11672^582435-1862767175331Enzo Doria12/2015
1168(11*10^175250-149)/3175251Robert Price09/2018
11692^582072-1848599175222Enzo Doria08/2015
1170(404267#+465)/(3^4*5^2*31)175208Makoto Morimoto06/2019
1171(220221^32768+1)/2175075Serge Batalov03/2018
11722^581560+1874911175068Enzo Doria06/2016
1173(75^93307-1)/74174955Paul Bourdelais09/2017
1174(47*10^174790+493)/9174791Robert Price03/2019
11752^580528-114035174757Enzo Doria11/2014
1176(19*10^174754+737)/9174755Robert Price07/2018
1177(35*10^174704-377)/9174705Robert Price07/2018
11783*10^174665-97174666Robert Price07/2018
11792^580046-459161174612Enzo Doria05/2015
11802^579992-39779174595Enzo Doria09/2015
1181(2*10^174301-71)/3174301Robert Price12/2017
1182(2^578696+1)/257174203Lelio R Paula09/2015
11832^578656-1851809174193Enzo Doria08/2015
11842^578583-113917174171Enzo Doria10/2014
11852^578434-83174126Yves Minet07/2017
118615^148048-2174118Robert Price06/2015
11875*10^174101+81174102Robert Price03/2019
11882^578346+2794249174100Enzo Doria03/2016
11895*10^173904-13173905Robert Price01/2019
1190(43*10^173826+101)/9173827Robert Price11/2018
11912*10^173809-87173810Robert Price04/2018
1192(L!41532)/2173772Serge Batalov07/2017
11932^577146-49877173739Enzo Doria10/2015
11942^576889+49727173661Enzo Doria09/2016
1195(2^576551-1)/4612409/64758208321/242584327930759173528Dario Alpern06/2014
1196(13*10^173467-37)/3173468Robert Price01/2019
11972^576016-113919173399Enzo Doria11/2014
11982^575911-1849387173367Enzo Doria08/2015
1199(16*10^173251+107)/3173252Robert Price03/2019
12002^575196-114053173152Enzo Doria11/2014
12012^574591-115387172970Enzo Doria07/2015
12022^574328+81121172890Enzo Doria07/2016
1203(115*10^172862-1)/3172864Serge Batalov12/2014
12043*10^172812+13172813Robert Price07/2018
12054*5^247217-9172798Lelio R Paula10/2015
120669061#+(467617#)/(69061#)172766Makoto Morimoto10/2017
12075*10^172692+57172693Robert Price12/2018
12082^573668-2782319172692Enzo Doria09/2015
12092^573444-1855109172624Enzo Doria09/2015
12103^361608+2172531Robert Price08/2014
1211(54^99563+1)/55172481Paul Bourdelais11/2017
12122^572592-114893172368Enzo Doria05/2015
12135^246497-4^246497172295Jean-Louis Charton11/2008
1214(38^109037-1)/37172254Paul Bourdelais10/2017
12153*10^172219+73172220Robert Price08/2018
1216(36^110503+1)/37171975Lelio R Paula04/2017
1217(22*10^171929-73)/3171930Robert Price04/2019
12184*10^171891-63171892Robert Price10/2018
12192^570980-2782289171883Enzo Doria09/2015
1220(2^(12*47563+13)-9)/7171818Kevin Acres11/2013
12217*10^171535-99171536Robert Price06/2019
12222^569563-1854607171456Enzo Doria09/2015
12233*10^171391+59171392Robert Price08/2018
1224(13*10^171306-37)/3171307Robert Price01/2019
1225(55^98419-1)/54171284Paul Bourdelais12/2017
12262^568642+1876129171179Enzo Doria07/2016
1227(46*10^170932+143)/9170933Robert Price01/2019
1228(58*10^170842+221)/9170843Robert Price02/2017
12293*10^170800+73170801Robert Price08/2018
123011^164009-270170798Enzo Doria10/2012
12312*10^170767+41170768Robert Price05/2018
12323^357706-112358170670Enzo Doria07/2014
1233TheodorusPrime(170657)170657Eric W. Weisstein08/2013
12342^566871+1876163170646Enzo Doria07/2016
1235(10657#+(404267#)/(10657#))/(1675379)170624Makoto Morimoto10/2017
12362^566496+7170533Donovan Johnson07/2006
1237(7^201653+1)/8170416Paul Bourdelais02/2010
12382^565183-352021170138Enzo Doria07/2015
12392^565143-114457170125Enzo Doria02/2015
12402^564976-49869170075Enzo Doria10/2015
12412^564526-351401169940Enzo Doria07/2015
12424*10^169759+19169760Robert Price10/2018
124321^128327-20^128327169677Jean-Louis Charton11/2014
1244(4*10^169559+83)/3169560Robert Price02/2018
12452^562749+2793047169405Enzo Doria02/2016
1246(154*10^169337-1)/9169339Serge Batalov12/2014
1247(56*10^169311+691)/9169312Robert Price05/2019
12482^562369-29503169290Enzo Doria08/2015
1249(22*10^169019+383)/9169020Robert Price05/2018
12505*10^168807+87168808Robert Price02/2019


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: August, 20 2019 14:10 (Time in France)

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