PRP Records

Probable Primes Top 10000

(252489 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 ?
10012^607101+1871987182756Enzo Doria05/2016
10022^606869-69175182686Enzo Doria11/2015
10033*10^182614-11182615Robert Price07/2018
10042^606560-357182593Enzo Doria05/2014
10052^605687+1866983182330Enzo Doria03/2016
10062^605655-114445182321Enzo Doria02/2015
1007(20^140053+1)/21182212Paul Bourdelais04/2010
1008(14*10^182177-221)/9182178Robert Price04/2018
10092^605174-112751182176Enzo Doria06/2014
10102^604761+1874507182052Enzo Doria06/2016
10112^604705+1871957182035Enzo Doria05/2016
1012(14*10^182000+229)/9182001Robert Price03/2018
1013(10^181996+41)/3181996Robert Price12/2017
1014(5*10^181950-101)/3181951Robert Price04/2018
10152^603915+75233181797Enzo Doria04/2016
101611^174145-360181354Enzo Doria10/2012
10172^602351-396765181326Enzo Doria08/2013
10182^601957-113833181208Enzo Doria09/2014
101966^99581-65^99581181193Robert Price09/2013
102010^181182+383973181183Patrick De Geest04/2016
102110^181182-21181182Serge Batalov12/2014
1022(5*10^181127-29)/3181128Robert Price03/2018
10232^601521-29143181076Enzo Doria07/2015
10242^601442-2797811181053Enzo Doria04/2016
10255*10^180992-9180993Robert Price05/2015
102610^180979+79477180980Patrick De Geest04/2016
102710^180979+107739180980Patrick De Geest04/2016
102810^180979-11180979Serge Batalov12/2014
10292^601023-113851180926Enzo Doria10/2014
10303*10^180852+29180853Robert Price05/2018
10312^600300-1852559180709Enzo Doria08/2015
1032(10^180689+71)/9180689Serge Batalov07/2015
10332^600209+76487180681Enzo Doria05/2016
10342^599702-369885180529Enzo Doria11/2013
1035Tau(643^11688)180524Nik Lygeros / Olivier Rozier05/2015
1036(2951*29^123418-3)/4180490Curtis Bright05/2015
10374*10^180360+93180361Robert Price08/2018
10382^598942+80779180300Enzo Doria07/2016
1039(38*10^180296+403)/9180297Robert Price10/2018
10402^598591-1844797180194Enzo Doria06/2015
1041(100^90089+1)/101180176Paul Bourdelais08/2017
1042(4*10^179963-79)/3179964Robert Price02/2018
1043Gamma-Prime(179849)179849Eric W. Weisstein06/2011
10442^597424-1859729179843Enzo Doria11/2015
1045Phi(180683,10)179760Maksym Voznyy09/2015
1046(10^180683-1)*9/(10^643-1)/(10^281-1)179760Robert Price07/2016
1047(3^376657-2^376657)/22301107657179701Mike Oakes04/2017
1048(29*10^179697+223)/9179698Robert Price09/2018
10492^596690-461261179622Enzo Doria07/2015
10502^596684-113939179620Enzo Doria10/2014
10512*10^179602+63179603Robert Price05/2018
10523^375887-112696179344Enzo Doria07/2014
10534*10^179265-71179266Robert Price12/2018
10542^595144-1850429179157Enzo Doria08/2015
10553*10^179138+89179139Robert Price10/2018
10562^594531+82253178972Enzo Doria09/2016
10572^594260-2787899178891Enzo Doria11/2015
10582^593631+101381178701Jorge Menendez04/2018
105910^178695+136719178696Patrick De Geest05/2016
106010^178695-71178695Serge Batalov12/2014
1061(2^148330+1)^4-2178608Cletus Emmanuel12/2003
10622^593222-14145178578Jorge Menendez10/2017
10632^593178+1867219178565Enzo Doria03/2016
1064(18^142031-1)/17178287Paul Bourdelais03/2010
1065(5*10^178206+91)/3178207Robert Price04/2018
10662^591872-291929178172Enzo Doria07/2015
10672^591682-286871178115Enzo Doria07/2015
10684*10^178091+9178092Robert Price05/2015
1069410747#+478483178007Makoto Morimoto02/2016
10703*10^177872+73177873Robert Price08/2018
10712^590762-396765177838Enzo Doria08/2013
1072(136*10^177754-1)/9177756Serge Batalov12/2014
1073ReverseConsecutiveIntegerPrime(37765)177719Eric W. Weisstein04/2010
1074(11*10^177466-113)/3177467Robert Price10/2018
10753*10^177373-97177374Robert Price07/2018
10762^589204+1881151177369Enzo Doria11/2016
10772^589132-69479177347Enzo Doria01/2016
10782^588912-113519177281Enzo Doria08/2014
107915^150706+2177245Robert Price06/2015
10802^588194-1861001177065Enzo Doria11/2015
1081(19*10^176932+521)/9176933Robert Price05/2018
1082(8*10^176908+43)/3176909Robert Price06/2018
10832^587560-113699176874Enzo Doria09/2014
10845^252763-12862176674Enzo Doria05/2014
10852^586804+81721176646Enzo Doria08/2016
1086(10^176584+77)/3176584Robert Price01/2018
10872^586570+1874419176576Enzo Doria06/2016
10882^585994-3311176402Yves Minet12/2014
10892^585832-112799176354Enzo Doria07/2014
10902^585336-461039176204Enzo Doria06/2015
10912^585095-1848127176132Enzo Doria08/2015
10922^584950-115451176088Enzo Doria07/2015
10932^584671-3697176004Yves Minet03/2017
1094(13*10^175965-37)/3175966Robert Price01/2019
10952*10^175860-87175861Robert Price04/2018
109610^175608+2971175609Mike Oakes05/2010
109710^175608-55829175608Patrick De Geest09/2013
10982^583051+1879793175516Enzo Doria09/2016
10992^582860-23829175459Enzo Doria08/2013
11002^582670-23913175402Enzo Doria08/2013
11012^582573-29563175372Enzo Doria08/2015
11022^582435-1862767175331Enzo Doria12/2015
1103(11*10^175250-149)/3175251Robert Price09/2018
11042^582072-1848599175222Enzo Doria08/2015
1105(220221^32768+1)/2175075Serge Batalov03/2018
11062^581560+1874911175068Enzo Doria06/2016
1107(75^93307-1)/74174955Paul Bourdelais09/2017
11082^580528-114035174757Enzo Doria11/2014
1109(19*10^174754+737)/9174755Robert Price07/2018
1110(35*10^174704-377)/9174705Robert Price07/2018
11113*10^174665-97174666Robert Price07/2018
11122^580046-459161174612Enzo Doria05/2015
11132^579992-39779174595Enzo Doria09/2015
1114(2*10^174301-71)/3174301Robert Price12/2017
1115(2^578696+1)/257174203Lelio R Paula09/2015
11162^578656-1851809174193Enzo Doria08/2015
11172^578583-113917174171Enzo Doria10/2014
11182^578434-83174126Yves Minet07/2017
111915^148048-2174118Robert Price06/2015
11202^578346+2794249174100Enzo Doria03/2016
11215*10^173904-13173905Robert Price01/2019
1122(43*10^173826+101)/9173827Robert Price11/2018
11232*10^173809-87173810Robert Price04/2018
1124(L!41532)/2173772Serge Batalov07/2017
11252^577146-49877173739Enzo Doria10/2015
11262^576889+49727173661Enzo Doria09/2016
1127(2^576551-1)/4612409/64758208321/242584327930759173528Dario Alpern06/2014
1128(13*10^173467-37)/3173468Robert Price01/2019
11292^576016-113919173399Enzo Doria11/2014
11302^575911-1849387173367Enzo Doria08/2015
11312^575196-114053173152Enzo Doria11/2014
11322^574591-115387172970Enzo Doria07/2015
11332^574328+81121172890Enzo Doria07/2016
1134(115*10^172862-1)/3172864Serge Batalov12/2014
11353*10^172812+13172813Robert Price07/2018
11364*5^247217-9172798Lelio R Paula10/2015
113769061#+(467617#)/(69061#)172766Makoto Morimoto10/2017
11385*10^172692+57172693Robert Price12/2018
11392^573668-2782319172692Enzo Doria09/2015
11402^573444-1855109172624Enzo Doria09/2015
11413^361608+2172531Robert Price08/2014
1142(54^99563+1)/55172481Paul Bourdelais11/2017
11432^572592-114893172368Enzo Doria05/2015
11445^246497-4^246497172295Jean-Louis Charton11/2008
1145(38^109037-1)/37172254Paul Bourdelais10/2017
11463*10^172219+73172220Robert Price08/2018
1147(36^110503+1)/37171975Lelio R Paula04/2017
11484*10^171891-63171892Robert Price10/2018
11492^570980-2782289171883Enzo Doria09/2015
1150(2^(12*47563+13)-9)/7171818Kevin Acres11/2013
11512^569563-1854607171456Enzo Doria09/2015
11523*10^171391+59171392Robert Price08/2018
1153(13*10^171306-37)/3171307Robert Price01/2019
1154(55^98419-1)/54171284Paul Bourdelais12/2017
11552^568642+1876129171179Enzo Doria07/2016
1156(58*10^170842+221)/9170843Robert Price02/2017
11573*10^170800+73170801Robert Price08/2018
115811^164009-270170798Enzo Doria10/2012
11592*10^170767+41170768Robert Price05/2018
11603^357706-112358170670Enzo Doria07/2014
1161TheodorusPrime(170657)170657Eric W. Weisstein08/2013
11622^566871+1876163170646Enzo Doria07/2016
1163(10657#+(404267#)/(10657#))/(1675379)170624Makoto Morimoto10/2017
11642^566496+7170533Donovan Johnson07/2006
1165(7^201653+1)/8170416Paul Bourdelais02/2010
11662^565183-352021170138Enzo Doria07/2015
11672^565143-114457170125Enzo Doria02/2015
11682^564976-49869170075Enzo Doria10/2015
11692^564526-351401169940Enzo Doria07/2015
11704*10^169759+19169760Robert Price10/2018
117121^128327-20^128327169677Jean-Louis Charton11/2014
1172(4*10^169559+83)/3169560Robert Price02/2018
11732^562749+2793047169405Enzo Doria02/2016
1174(154*10^169337-1)/9169339Serge Batalov12/2014
11752^562369-29503169290Enzo Doria08/2015
1176(22*10^169019+383)/9169020Robert Price05/2018
11772^560405-39943168699Enzo Doria09/2015
11782^559686-350471168483Enzo Doria06/2015
11792^559672-1855889168479Enzo Doria09/2015
1180(5*10^168379-473)/9168379Robert Price01/2018
11812^559000-59939168276Enzo Doria11/2015
11822^558640-114149168168Enzo Doria12/2014
11832^558498-1849277168125Enzo Doria08/2015
11842^558476-1850249168119Enzo Doria08/2015
1185(7*10^168067+71)/3168068Robert Price05/2018
11862^558150-1852211168020Enzo Doria08/2015
11872^558125-113661168013Enzo Doria09/2014
1188393^64747-392^64747167980Jean-Louis Charton08/2012
1189(13*10^167911+179)/3167912Robert Price11/2018
119039^105456+2167788Robert Price04/2015
1191(28^115877-1)/27167691Paul Bourdelais12/2017
119210^167639+121911167640Patrick De Geest07/2018
119310^167639-8001167639Robert Price03/2018
11942^556504-462059167525Enzo Doria07/2015
11955*10^167510+9167511Robert Price08/2015
11962^555343+1874333167175Enzo Doria06/2016
11972^555210-461261167135Enzo Doria07/2015
11982^554372+1880527166883Enzo Doria11/2016
11992^554299+72173166861Enzo Doria04/2016
12002^554037-2797063166782Enzo Doria03/2016
12012^553484-29819166616Enzo Doria08/2015
12022^553383-2784217166585Enzo Doria10/2015
12032^553069+76427166491Enzo Doria05/2016
12042*10^166458+51166459Robert Price05/2018
1205589^60089-588^60089166454Jean-Louis Charton09/2012
120611^159756-2424166369Mike Oakes06/2010
12072^552649-361275166364Enzo Doria05/2014
12082^552628-113669166358Enzo Doria09/2014
120910^166324+550603166325Patrick De Geest07/2018
121010^166324-801166324Robert Price02/2018
12112^552137+1879397166210Enzo Doria09/2016
1212(23^121949-1)/22166061Paul Bourdelais10/2017
12132^551542+19249166031Payam Samidoost08/2002
12142^551535-23821166029Enzo Doria08/2013
12152^551507-23557166021Enzo Doria08/2013
12167*10^165916-3165917Robert Price08/2015
121781^86837-80^86837165728Robert Price01/2015
12182^550270-69551165648Enzo Doria12/2015
12192^550000-23625165567Enzo Doria08/2013
12202^549675-1852057165469Enzo Doria08/2015
1221-tau(103^14938)165374Nik Lygeros / Olivier Rozier10/2013
1222(28*10^165358-1)/9165359Serge Batalov10/2014
12232^549278+1879669165350Enzo Doria09/2016
1224(7*10^165350-439)/9165350Robert Price02/2018
12252^549252-351269165342Enzo Doria06/2015
1226(14*10^165282+73)/3165283Robert Price12/2018
12272^549049+2797607165281Enzo Doria04/2016
1228(7*10^165239+107)/3165240Robert Price02/2018
1229(44^100511-1)/43165184Paul Bourdelais11/2017
1230(7*10^165134+107)/3165135Robert Price02/2018
12312^547178-1856501164717Enzo Doria10/2015
123211^158160-60164707Enzo Doria07/2012
12332^546398-59201164483Enzo Doria10/2015
12342^546332-114893164463Enzo Doria05/2015
12352^545958+1876189164350Enzo Doria07/2016
12362^545878-49841164326Enzo Doria10/2015
1237(10^164284+77)/3164284Robert Price01/2018
12382^545668-4019164263Yves Minet04/2017
1239(13*53^238539*617^9)/10^247183164151Hans Havermann07/2017
12402^545185+76757164118Enzo Doria05/2016
12412^545076-114329164085Enzo Doria01/2015
1242(2*10^164043-143)/3164043Robert Price03/2018
1243(29^112153+1)/30164011Lelio R Paula03/2017
12442^544757+1874777163989Enzo Doria06/2016
12452^544444-457199163894Enzo Doria01/2015
12462^544264-343529163840Enzo Doria07/2015
12477*10^163780+9163781Robert Price09/2015
12482^543989+2793047163758Enzo Doria02/2016
12492^542870-69551163421Enzo Doria12/2015
12502^542395+72533163278Enzo Doria04/2016


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: January, 15 2019 17:26 (Time in France)

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