PRP Records

Probable Primes Top 10000

(253141 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 ?
10012^614745-29323185057Enzo Doria07/2015
1002(((((((((((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
1003(49*10^184993-67)/9184994Robert Price03/2019
1004(14*10^184950+211)/9184951Robert Price04/2018
10052^614315+81353184928Enzo Doria08/2016
10062^614294-1849961184921Enzo Doria08/2015
10072^614266+1877809184913Enzo Doria08/2016
10082^613715-1860727184747Enzo Doria11/2015
10092*10^184723+41184724Robert Price05/2018
10102^613487-349987184678Enzo Doria07/2015
1011(95^93377+1)/96184672Paul Bourdelais11/2017
101214^161089-161089^14184629Serge Batalov05/2016
10132^613033-114621184542Enzo Doria05/2015
1014(9^193247+1)/10184404Paul Bourdelais02/2010
10152^612341-1604809184334Enzo Doria05/2015
1016(2^611999-1)/18464214225958267477777390354183184199Dario Alpern06/2017
1017(14*10^184150+37)/3184151Robert Price12/2018
10182^611731-4837184150Yves Minet08/2018
10193*10^184124-7184125Robert Price08/2015
10202^611628-24537184119Enzo Doria08/2013
10213*10^184110+13184111Robert Price07/2018
10222^611460+71881184068Enzo Doria04/2016
10234*10^184004-63184005Robert Price10/2018
10242^610982-1867301183924Enzo Doria03/2016
10253*10^183872-49183873Robert Price07/2018
10262^610597+1178897183809Enzo Doria05/2016
1027(17*10^183764+31)/3183765Robert Price01/2019
1028(28*10^183760-1)/9183761Serge Batalov10/2014
10292^610401+1277183750Lelio R Paula07/2013
10302^610356-1849019183736Enzo Doria08/2015
1031(63^102103+1)/64183717Paul Bourdelais10/2017
1032(2^610289+1)/(3*528882550291)183704Gord Palameta08/2018
1033(4*10^183659+149)/9183659Robert Price04/2018
10342^609846-1834251183582Enzo Doria07/2015
103511^176176-240183469Enzo Doria11/2012
1036(41^113749+1)/42183451Paul Bourdelais11/2017
1037(101^91463+1)/102183320Paul Bourdelais11/2017
10382^608965-113989183317Enzo Doria10/2014
1039A005165(43592)183312Serge Batalov07/2017
1040(61*10^183294+119)/9183295Robert Price05/2019
10412^608814-461261183272Enzo Doria06/2015
1042(163*10^183227-1)/9183229Serge Batalov12/2014
10432^608541-608541^2183190Henri Lifchitz02/2018
10442^608293+143807183115Enzo Doria10/2016
10452^608164-462419183076Enzo Doria08/2015
10462^607950-1862303183012Enzo Doria12/2015
1047(46*10^182896+683)/9182897Robert Price03/2019
10482^607101+1871987182756Enzo Doria05/2016
10492^606869-69175182686Enzo Doria11/2015
10503*10^182614-11182615Robert Price07/2018
10512^606560-357182593Enzo Doria05/2014
10522^605687+1866983182330Enzo Doria03/2016
10532^605655-114445182321Enzo Doria02/2015
1054(20^140053+1)/21182212Paul Bourdelais04/2010
1055(14*10^182177-221)/9182178Robert Price04/2018
10562^605174-112751182176Enzo Doria06/2014
10572^604761+1874507182052Enzo Doria06/2016
10582^604705+1871957182035Enzo Doria05/2016
1059(14*10^182000+229)/9182001Robert Price03/2018
1060(10^181996+41)/3181996Robert Price12/2017
1061(5*10^181950-101)/3181951Robert Price04/2018
10622^603915+75233181797Enzo Doria04/2016
106311^174145-360181354Enzo Doria10/2012
10642^602351-396765181326Enzo Doria08/2013
10656*10^181306+17181307Robert Price04/2019
10662^601957-113833181208Enzo Doria09/2014
106766^99581-65^99581181193Robert Price09/2013
106810^181182+383973181183Patrick De Geest04/2016
106910^181182-21181182Serge Batalov12/2014
1070(5*10^181127-29)/3181128Robert Price03/2018
10712^601521-29143181076Enzo Doria07/2015
10722^601442-2797811181053Enzo Doria04/2016
10735*10^180992-9180993Robert Price05/2015
107410^180979+79477180980Patrick De Geest04/2016
107510^180979+107739180980Patrick De Geest04/2016
107610^180979-11180979Serge Batalov12/2014
10772^601023-113851180926Enzo Doria10/2014
10783*10^180852+29180853Robert Price05/2018
10792^600300-1852559180709Enzo Doria08/2015
1080(10^180689+71)/9180689Serge Batalov07/2015
10812^600209+76487180681Enzo Doria05/2016
10822^599702-369885180529Enzo Doria11/2013
1083Tau(643^11688)180524Nik Lygeros / Olivier Rozier05/2015
1084(2951*29^123418-3)/4180490Curtis Bright05/2015
10854*10^180360+93180361Robert Price08/2018
10862^598942+80779180300Enzo Doria07/2016
1087(38*10^180296+403)/9180297Robert Price10/2018
10882^598591-1844797180194Enzo Doria06/2015
1089(100^90089+1)/101180176Paul Bourdelais08/2017
10906*10^179970+91179971Robert Price05/2019
1091(4*10^179963-79)/3179964Robert Price02/2018
1092Gamma-Prime(179849)179849Eric W. Weisstein06/2011
10932^597424-1859729179843Enzo Doria11/2015
1094Phi(180683,10)179760Maksym Voznyy09/2015
1095(10^180683-1)*9/(10^643-1)/(10^281-1)179760Robert Price07/2016
1096(3^376657-2^376657)/22301107657179701Mike Oakes04/2017
1097(29*10^179697+223)/9179698Robert Price09/2018
10982^596690-461261179622Enzo Doria07/2015
10992^596684-113939179620Enzo Doria10/2014
11002*10^179602+63179603Robert Price05/2018
11013^375887-112696179344Enzo Doria07/2014
11024*10^179265-71179266Robert Price12/2018
11032^595144-1850429179157Enzo Doria08/2015
11043*10^179138+89179139Robert Price10/2018
11052^594531+82253178972Enzo Doria09/2016
11062^594260-2787899178891Enzo Doria11/2015
11072^593631+101381178701Jorge Menendez04/2018
110810^178695+136719178696Patrick De Geest05/2016
110910^178695-71178695Serge Batalov12/2014
1110(2^148330+1)^4-2178608Cletus Emmanuel12/2003
11112^593222-14145178578Jorge Menendez10/2017
11122^593178+1867219178565Enzo Doria03/2016
1113(18^142031-1)/17178287Paul Bourdelais03/2010
1114(5*10^178206+91)/3178207Robert Price04/2018
11152^591872-291929178172Enzo Doria07/2015
11162^591682-286871178115Enzo Doria07/2015
11174*10^178091+9178092Robert Price05/2015
1118410747#+478483178007Makoto Morimoto02/2016
11193*10^177872+73177873Robert Price08/2018
11202^590762-396765177838Enzo Doria08/2013
1121(136*10^177754-1)/9177756Serge Batalov12/2014
1122ReverseConsecutiveIntegerPrime(37765)177719Eric W. Weisstein04/2010
1123(11*10^177466-113)/3177467Robert Price10/2018
11243*10^177373-97177374Robert Price07/2018
11252^589204+1881151177369Enzo Doria11/2016
11262^589132-69479177347Enzo Doria01/2016
11272^588912-113519177281Enzo Doria08/2014
112815^150706+2177245Robert Price06/2015
11292^588194-1861001177065Enzo Doria11/2015
1130(19*10^176932+521)/9176933Robert Price05/2018
1131(8*10^176908+43)/3176909Robert Price06/2018
11322^587560-113699176874Enzo Doria09/2014
11335^252763-12862176674Enzo Doria05/2014
11342^586804+81721176646Enzo Doria08/2016
1135(10^176584+77)/3176584Robert Price01/2018
11362^586570+1874419176576Enzo Doria06/2016
11372^585994-3311176402Yves Minet12/2014
11382^585832-112799176354Enzo Doria07/2014
11392^585336-461039176204Enzo Doria06/2015
11402^585095-1848127176132Enzo Doria08/2015
11412^584950-115451176088Enzo Doria07/2015
11422^584671-3697176004Yves Minet03/2017
1143(13*10^175965-37)/3175966Robert Price01/2019
11442*10^175860-87175861Robert Price04/2018
114510^175608+2971175609Mike Oakes05/2010
114610^175608-55829175608Patrick De Geest09/2013
11472^583051+1879793175516Enzo Doria09/2016
11482^582860-23829175459Enzo Doria08/2013
11492^582670-23913175402Enzo Doria08/2013
11502^582573-29563175372Enzo Doria08/2015
11512^582435-1862767175331Enzo Doria12/2015
1152(11*10^175250-149)/3175251Robert Price09/2018
11532^582072-1848599175222Enzo Doria08/2015
1154(404267#+465)/(3^4*5^2*31)175208Makoto Morimoto06/2019
1155(220221^32768+1)/2175075Serge Batalov03/2018
11562^581560+1874911175068Enzo Doria06/2016
1157(75^93307-1)/74174955Paul Bourdelais09/2017
1158(47*10^174790+493)/9174791Robert Price03/2019
11592^580528-114035174757Enzo Doria11/2014
1160(19*10^174754+737)/9174755Robert Price07/2018
1161(35*10^174704-377)/9174705Robert Price07/2018
11623*10^174665-97174666Robert Price07/2018
11632^580046-459161174612Enzo Doria05/2015
11642^579992-39779174595Enzo Doria09/2015
1165(2*10^174301-71)/3174301Robert Price12/2017
1166(2^578696+1)/257174203Lelio R Paula09/2015
11672^578656-1851809174193Enzo Doria08/2015
11682^578583-113917174171Enzo Doria10/2014
11692^578434-83174126Yves Minet07/2017
117015^148048-2174118Robert Price06/2015
11715*10^174101+81174102Robert Price03/2019
11722^578346+2794249174100Enzo Doria03/2016
11735*10^173904-13173905Robert Price01/2019
1174(43*10^173826+101)/9173827Robert Price11/2018
11752*10^173809-87173810Robert Price04/2018
1176(L!41532)/2173772Serge Batalov07/2017
11772^577146-49877173739Enzo Doria10/2015
11782^576889+49727173661Enzo Doria09/2016
1179(2^576551-1)/4612409/64758208321/242584327930759173528Dario Alpern06/2014
1180(13*10^173467-37)/3173468Robert Price01/2019
11812^576016-113919173399Enzo Doria11/2014
11822^575911-1849387173367Enzo Doria08/2015
1183(16*10^173251+107)/3173252Robert Price03/2019
11842^575196-114053173152Enzo Doria11/2014
11852^574591-115387172970Enzo Doria07/2015
11862^574328+81121172890Enzo Doria07/2016
1187(115*10^172862-1)/3172864Serge Batalov12/2014
11883*10^172812+13172813Robert Price07/2018
11894*5^247217-9172798Lelio R Paula10/2015
119069061#+(467617#)/(69061#)172766Makoto Morimoto10/2017
11915*10^172692+57172693Robert Price12/2018
11922^573668-2782319172692Enzo Doria09/2015
11932^573444-1855109172624Enzo Doria09/2015
11943^361608+2172531Robert Price08/2014
1195(54^99563+1)/55172481Paul Bourdelais11/2017
11962^572592-114893172368Enzo Doria05/2015
11975^246497-4^246497172295Jean-Louis Charton11/2008
1198(38^109037-1)/37172254Paul Bourdelais10/2017
11993*10^172219+73172220Robert Price08/2018
1200(36^110503+1)/37171975Lelio R Paula04/2017
1201(22*10^171929-73)/3171930Robert Price04/2019
12024*10^171891-63171892Robert Price10/2018
12032^570980-2782289171883Enzo Doria09/2015
1204(2^(12*47563+13)-9)/7171818Kevin Acres11/2013
12057*10^171535-99171536Robert Price06/2019
12062^569563-1854607171456Enzo Doria09/2015
12073*10^171391+59171392Robert Price08/2018
1208(13*10^171306-37)/3171307Robert Price01/2019
1209(55^98419-1)/54171284Paul Bourdelais12/2017
12102^568642+1876129171179Enzo Doria07/2016
1211(46*10^170932+143)/9170933Robert Price01/2019
1212(58*10^170842+221)/9170843Robert Price02/2017
12133*10^170800+73170801Robert Price08/2018
121411^164009-270170798Enzo Doria10/2012
12152*10^170767+41170768Robert Price05/2018
12163^357706-112358170670Enzo Doria07/2014
1217TheodorusPrime(170657)170657Eric W. Weisstein08/2013
12182^566871+1876163170646Enzo Doria07/2016
1219(10657#+(404267#)/(10657#))/(1675379)170624Makoto Morimoto10/2017
12202^566496+7170533Donovan Johnson07/2006
1221(7^201653+1)/8170416Paul Bourdelais02/2010
12222^565183-352021170138Enzo Doria07/2015
12232^565143-114457170125Enzo Doria02/2015
12242^564976-49869170075Enzo Doria10/2015
12252^564526-351401169940Enzo Doria07/2015
12264*10^169759+19169760Robert Price10/2018
122721^128327-20^128327169677Jean-Louis Charton11/2014
1228(4*10^169559+83)/3169560Robert Price02/2018
12292^562749+2793047169405Enzo Doria02/2016
1230(154*10^169337-1)/9169339Serge Batalov12/2014
1231(56*10^169311+691)/9169312Robert Price05/2019
12322^562369-29503169290Enzo Doria08/2015
1233(22*10^169019+383)/9169020Robert Price05/2018
12345*10^168807+87168808Robert Price02/2019
12352^560405-39943168699Enzo Doria09/2015
12362^559686-350471168483Enzo Doria06/2015
12372^559672-1855889168479Enzo Doria09/2015
1238(5*10^168379-473)/9168379Robert Price01/2018
12392^559000-59939168276Enzo Doria11/2015
1240(16*10^168181+41)/3168182Robert Price03/2019
1241(19*10^168173+77)/3168174Robert Price05/2019
12422^558640-114149168168Enzo Doria12/2014
12432^558498-1849277168125Enzo Doria08/2015
12442^558476-1850249168119Enzo Doria08/2015
1245(7*10^168067+71)/3168068Robert Price05/2018
12462^558150-1852211168020Enzo Doria08/2015
12472^558125-113661168013Enzo Doria09/2014
1248393^64747-392^64747167980Jean-Louis Charton08/2012
1249(13*10^167911+179)/3167912Robert Price11/2018
125039^105456+2167788Robert Price04/2015


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: July, 18 2019 11:13 (Time in France)

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