PRP Records

Probable Primes Top 10000

(252675 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 ?
10013*10^184124-7184125Robert Price08/2015
10022^611628-24537184119Enzo Doria08/2013
10033*10^184110+13184111Robert Price07/2018
10042^611460+71881184068Enzo Doria04/2016
10054*10^184004-63184005Robert Price10/2018
10062^610982-1867301183924Enzo Doria03/2016
10073*10^183872-49183873Robert Price07/2018
10082^610597+1178897183809Enzo Doria05/2016
1009(17*10^183764+31)/3183765Robert Price01/2019
1010(28*10^183760-1)/9183761Serge Batalov10/2014
10112^610401+1277183750Lelio R Paula07/2013
10122^610356-1849019183736Enzo Doria08/2015
1013(63^102103+1)/64183717Paul Bourdelais10/2017
1014(2^610289+1)/(3*528882550291)183704Gord Palameta08/2018
1015(4*10^183659+149)/9183659Robert Price04/2018
10162^609846-1834251183582Enzo Doria07/2015
101711^176176-240183469Enzo Doria11/2012
1018(41^113749+1)/42183451Paul Bourdelais11/2017
1019(101^91463+1)/102183320Paul Bourdelais11/2017
10202^608965-113989183317Enzo Doria10/2014
1021A005165(43592)183312Serge Batalov07/2017
10222^608814-461261183272Enzo Doria06/2015
1023(163*10^183227-1)/9183229Serge Batalov12/2014
10242^608541-608541^2183190Henri Lifchitz02/2018
10252^608293+143807183115Enzo Doria10/2016
10262^608164-462419183076Enzo Doria08/2015
10272^607950-1862303183012Enzo Doria12/2015
1028(46*10^182896+683)/9182897Robert Price03/2019
10292^607101+1871987182756Enzo Doria05/2016
10302^606869-69175182686Enzo Doria11/2015
10313*10^182614-11182615Robert Price07/2018
10322^606560-357182593Enzo Doria05/2014
10332^605687+1866983182330Enzo Doria03/2016
10342^605655-114445182321Enzo Doria02/2015
1035(20^140053+1)/21182212Paul Bourdelais04/2010
1036(14*10^182177-221)/9182178Robert Price04/2018
10372^605174-112751182176Enzo Doria06/2014
10382^604761+1874507182052Enzo Doria06/2016
10392^604705+1871957182035Enzo Doria05/2016
1040(14*10^182000+229)/9182001Robert Price03/2018
1041(10^181996+41)/3181996Robert Price12/2017
1042(5*10^181950-101)/3181951Robert Price04/2018
10432^603915+75233181797Enzo Doria04/2016
104411^174145-360181354Enzo Doria10/2012
10452^602351-396765181326Enzo Doria08/2013
10466*10^181306+17181307Robert Price04/2019
10472^601957-113833181208Enzo Doria09/2014
104866^99581-65^99581181193Robert Price09/2013
104910^181182+383973181183Patrick De Geest04/2016
105010^181182-21181182Serge Batalov12/2014
1051(5*10^181127-29)/3181128Robert Price03/2018
10522^601521-29143181076Enzo Doria07/2015
10532^601442-2797811181053Enzo Doria04/2016
10545*10^180992-9180993Robert Price05/2015
105510^180979+79477180980Patrick De Geest04/2016
105610^180979+107739180980Patrick De Geest04/2016
105710^180979-11180979Serge Batalov12/2014
10582^601023-113851180926Enzo Doria10/2014
10593*10^180852+29180853Robert Price05/2018
10602^600300-1852559180709Enzo Doria08/2015
1061(10^180689+71)/9180689Serge Batalov07/2015
10622^600209+76487180681Enzo Doria05/2016
10632^599702-369885180529Enzo Doria11/2013
1064Tau(643^11688)180524Nik Lygeros / Olivier Rozier05/2015
1065(2951*29^123418-3)/4180490Curtis Bright05/2015
10664*10^180360+93180361Robert Price08/2018
10672^598942+80779180300Enzo Doria07/2016
1068(38*10^180296+403)/9180297Robert Price10/2018
10692^598591-1844797180194Enzo Doria06/2015
1070(100^90089+1)/101180176Paul Bourdelais08/2017
1071(4*10^179963-79)/3179964Robert Price02/2018
1072Gamma-Prime(179849)179849Eric W. Weisstein06/2011
10732^597424-1859729179843Enzo Doria11/2015
1074Phi(180683,10)179760Maksym Voznyy09/2015
1075(10^180683-1)*9/(10^643-1)/(10^281-1)179760Robert Price07/2016
1076(3^376657-2^376657)/22301107657179701Mike Oakes04/2017
1077(29*10^179697+223)/9179698Robert Price09/2018
10782^596690-461261179622Enzo Doria07/2015
10792^596684-113939179620Enzo Doria10/2014
10802*10^179602+63179603Robert Price05/2018
10813^375887-112696179344Enzo Doria07/2014
10824*10^179265-71179266Robert Price12/2018
10832^595144-1850429179157Enzo Doria08/2015
10843*10^179138+89179139Robert Price10/2018
10852^594531+82253178972Enzo Doria09/2016
10862^594260-2787899178891Enzo Doria11/2015
10872^593631+101381178701Jorge Menendez04/2018
108810^178695+136719178696Patrick De Geest05/2016
108910^178695-71178695Serge Batalov12/2014
1090(2^148330+1)^4-2178608Cletus Emmanuel12/2003
10912^593222-14145178578Jorge Menendez10/2017
10922^593178+1867219178565Enzo Doria03/2016
1093(18^142031-1)/17178287Paul Bourdelais03/2010
1094(5*10^178206+91)/3178207Robert Price04/2018
10952^591872-291929178172Enzo Doria07/2015
10962^591682-286871178115Enzo Doria07/2015
10974*10^178091+9178092Robert Price05/2015
1098410747#+478483178007Makoto Morimoto02/2016
10993*10^177872+73177873Robert Price08/2018
11002^590762-396765177838Enzo Doria08/2013
1101(136*10^177754-1)/9177756Serge Batalov12/2014
1102ReverseConsecutiveIntegerPrime(37765)177719Eric W. Weisstein04/2010
1103(11*10^177466-113)/3177467Robert Price10/2018
11043*10^177373-97177374Robert Price07/2018
11052^589204+1881151177369Enzo Doria11/2016
11062^589132-69479177347Enzo Doria01/2016
11072^588912-113519177281Enzo Doria08/2014
110815^150706+2177245Robert Price06/2015
11092^588194-1861001177065Enzo Doria11/2015
1110(19*10^176932+521)/9176933Robert Price05/2018
1111(8*10^176908+43)/3176909Robert Price06/2018
11122^587560-113699176874Enzo Doria09/2014
11135^252763-12862176674Enzo Doria05/2014
11142^586804+81721176646Enzo Doria08/2016
1115(10^176584+77)/3176584Robert Price01/2018
11162^586570+1874419176576Enzo Doria06/2016
11172^585994-3311176402Yves Minet12/2014
11182^585832-112799176354Enzo Doria07/2014
11192^585336-461039176204Enzo Doria06/2015
11202^585095-1848127176132Enzo Doria08/2015
11212^584950-115451176088Enzo Doria07/2015
11222^584671-3697176004Yves Minet03/2017
1123(13*10^175965-37)/3175966Robert Price01/2019
11242*10^175860-87175861Robert Price04/2018
112510^175608+2971175609Mike Oakes05/2010
112610^175608-55829175608Patrick De Geest09/2013
11272^583051+1879793175516Enzo Doria09/2016
11282^582860-23829175459Enzo Doria08/2013
11292^582670-23913175402Enzo Doria08/2013
11302^582573-29563175372Enzo Doria08/2015
11312^582435-1862767175331Enzo Doria12/2015
1132(11*10^175250-149)/3175251Robert Price09/2018
11332^582072-1848599175222Enzo Doria08/2015
1134(220221^32768+1)/2175075Serge Batalov03/2018
11352^581560+1874911175068Enzo Doria06/2016
1136(75^93307-1)/74174955Paul Bourdelais09/2017
1137(47*10^174790+493)/9174791Robert Price03/2019
11382^580528-114035174757Enzo Doria11/2014
1139(19*10^174754+737)/9174755Robert Price07/2018
1140(35*10^174704-377)/9174705Robert Price07/2018
11413*10^174665-97174666Robert Price07/2018
11422^580046-459161174612Enzo Doria05/2015
11432^579992-39779174595Enzo Doria09/2015
1144(2*10^174301-71)/3174301Robert Price12/2017
1145(2^578696+1)/257174203Lelio R Paula09/2015
11462^578656-1851809174193Enzo Doria08/2015
11472^578583-113917174171Enzo Doria10/2014
11482^578434-83174126Yves Minet07/2017
114915^148048-2174118Robert Price06/2015
11505*10^174101+81174102Robert Price03/2019
11512^578346+2794249174100Enzo Doria03/2016
11525*10^173904-13173905Robert Price01/2019
1153(43*10^173826+101)/9173827Robert Price11/2018
11542*10^173809-87173810Robert Price04/2018
1155(L!41532)/2173772Serge Batalov07/2017
11562^577146-49877173739Enzo Doria10/2015
11572^576889+49727173661Enzo Doria09/2016
1158(2^576551-1)/4612409/64758208321/242584327930759173528Dario Alpern06/2014
1159(13*10^173467-37)/3173468Robert Price01/2019
11602^576016-113919173399Enzo Doria11/2014
11612^575911-1849387173367Enzo Doria08/2015
1162(16*10^173251+107)/3173252Robert Price03/2019
11632^575196-114053173152Enzo Doria11/2014
11642^574591-115387172970Enzo Doria07/2015
11652^574328+81121172890Enzo Doria07/2016
1166(115*10^172862-1)/3172864Serge Batalov12/2014
11673*10^172812+13172813Robert Price07/2018
11684*5^247217-9172798Lelio R Paula10/2015
116969061#+(467617#)/(69061#)172766Makoto Morimoto10/2017
11705*10^172692+57172693Robert Price12/2018
11712^573668-2782319172692Enzo Doria09/2015
11722^573444-1855109172624Enzo Doria09/2015
11733^361608+2172531Robert Price08/2014
1174(54^99563+1)/55172481Paul Bourdelais11/2017
11752^572592-114893172368Enzo Doria05/2015
11765^246497-4^246497172295Jean-Louis Charton11/2008
1177(38^109037-1)/37172254Paul Bourdelais10/2017
11783*10^172219+73172220Robert Price08/2018
1179(36^110503+1)/37171975Lelio R Paula04/2017
11804*10^171891-63171892Robert Price10/2018
11812^570980-2782289171883Enzo Doria09/2015
1182(2^(12*47563+13)-9)/7171818Kevin Acres11/2013
11832^569563-1854607171456Enzo Doria09/2015
11843*10^171391+59171392Robert Price08/2018
1185(13*10^171306-37)/3171307Robert Price01/2019
1186(55^98419-1)/54171284Paul Bourdelais12/2017
11872^568642+1876129171179Enzo Doria07/2016
1188(46*10^170932+143)/9170933Robert Price01/2019
1189(58*10^170842+221)/9170843Robert Price02/2017
11903*10^170800+73170801Robert Price08/2018
119111^164009-270170798Enzo Doria10/2012
11922*10^170767+41170768Robert Price05/2018
11933^357706-112358170670Enzo Doria07/2014
1194TheodorusPrime(170657)170657Eric W. Weisstein08/2013
11952^566871+1876163170646Enzo Doria07/2016
1196(10657#+(404267#)/(10657#))/(1675379)170624Makoto Morimoto10/2017
11972^566496+7170533Donovan Johnson07/2006
1198(7^201653+1)/8170416Paul Bourdelais02/2010
11992^565183-352021170138Enzo Doria07/2015
12002^565143-114457170125Enzo Doria02/2015
12012^564976-49869170075Enzo Doria10/2015
12022^564526-351401169940Enzo Doria07/2015
12034*10^169759+19169760Robert Price10/2018
120421^128327-20^128327169677Jean-Louis Charton11/2014
1205(4*10^169559+83)/3169560Robert Price02/2018
12062^562749+2793047169405Enzo Doria02/2016
1207(154*10^169337-1)/9169339Serge Batalov12/2014
12082^562369-29503169290Enzo Doria08/2015
1209(22*10^169019+383)/9169020Robert Price05/2018
12105*10^168807+87168808Robert Price02/2019
12112^560405-39943168699Enzo Doria09/2015
12122^559686-350471168483Enzo Doria06/2015
12132^559672-1855889168479Enzo Doria09/2015
1214(5*10^168379-473)/9168379Robert Price01/2018
12152^559000-59939168276Enzo Doria11/2015
1216(16*10^168181+41)/3168182Robert Price03/2019
12172^558640-114149168168Enzo Doria12/2014
12182^558498-1849277168125Enzo Doria08/2015
12192^558476-1850249168119Enzo Doria08/2015
1220(7*10^168067+71)/3168068Robert Price05/2018
12212^558150-1852211168020Enzo Doria08/2015
12222^558125-113661168013Enzo Doria09/2014
1223393^64747-392^64747167980Jean-Louis Charton08/2012
1224(13*10^167911+179)/3167912Robert Price11/2018
122539^105456+2167788Robert Price04/2015
1226(28^115877-1)/27167691Paul Bourdelais12/2017
122710^167639+121911167640Patrick De Geest07/2018
122810^167639-8001167639Robert Price03/2018
12292^556504-462059167525Enzo Doria07/2015
12305*10^167510+9167511Robert Price08/2015
12312^555343+1874333167175Enzo Doria06/2016
12322^555210-461261167135Enzo Doria07/2015
12332^554372+1880527166883Enzo Doria11/2016
12342^554299+72173166861Enzo Doria04/2016
12352^554037-2797063166782Enzo Doria03/2016
1236(49*10^166721-139)/9166722Robert Price03/2019
12372^553484-29819166616Enzo Doria08/2015
12382^553383-2784217166585Enzo Doria10/2015
12392^553069+76427166491Enzo Doria05/2016
12402*10^166458+51166459Robert Price05/2018
1241589^60089-588^60089166454Jean-Louis Charton09/2012
124211^159756-2424166369Mike Oakes06/2010
12432^552649-361275166364Enzo Doria05/2014
12442^552628-113669166358Enzo Doria09/2014
124510^166324+550603166325Patrick De Geest07/2018
124610^166324-801166324Robert Price02/2018
12472^552137+1879397166210Enzo Doria09/2016
1248(23^121949-1)/22166061Paul Bourdelais10/2017
12492^551542+19249166031Payam Samidoost08/2002
12502^551535-23821166029Enzo Doria08/2013


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: April, 20 2019 09:21 (Time in France)

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