PRP Records

Probable Primes Top 10000

(252932 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(95^93377+1)/96184672Paul Bourdelais11/2017
100214^161089-161089^14184629Serge Batalov05/2016
10032^613033-114621184542Enzo Doria05/2015
1004(9^193247+1)/10184404Paul Bourdelais02/2010
10052^612341-1604809184334Enzo Doria05/2015
1006(2^611999-1)/18464214225958267477777390354183184199Dario Alpern06/2017
1007(14*10^184150+37)/3184151Robert Price12/2018
10082^611731-4837184150Yves Minet08/2018
10093*10^184124-7184125Robert Price08/2015
10102^611628-24537184119Enzo Doria08/2013
10113*10^184110+13184111Robert Price07/2018
10122^611460+71881184068Enzo Doria04/2016
10134*10^184004-63184005Robert Price10/2018
10142^610982-1867301183924Enzo Doria03/2016
10153*10^183872-49183873Robert Price07/2018
10162^610597+1178897183809Enzo Doria05/2016
1017(17*10^183764+31)/3183765Robert Price01/2019
1018(28*10^183760-1)/9183761Serge Batalov10/2014
10192^610401+1277183750Lelio R Paula07/2013
10202^610356-1849019183736Enzo Doria08/2015
1021(63^102103+1)/64183717Paul Bourdelais10/2017
1022(2^610289+1)/(3*528882550291)183704Gord Palameta08/2018
1023(4*10^183659+149)/9183659Robert Price04/2018
10242^609846-1834251183582Enzo Doria07/2015
102511^176176-240183469Enzo Doria11/2012
1026(41^113749+1)/42183451Paul Bourdelais11/2017
1027(101^91463+1)/102183320Paul Bourdelais11/2017
10282^608965-113989183317Enzo Doria10/2014
1029A005165(43592)183312Serge Batalov07/2017
1030(61*10^183294+119)/9183295Robert Price05/2019
10312^608814-461261183272Enzo Doria06/2015
1032(163*10^183227-1)/9183229Serge Batalov12/2014
10332^608541-608541^2183190Henri Lifchitz02/2018
10342^608293+143807183115Enzo Doria10/2016
10352^608164-462419183076Enzo Doria08/2015
10362^607950-1862303183012Enzo Doria12/2015
1037(46*10^182896+683)/9182897Robert Price03/2019
10382^607101+1871987182756Enzo Doria05/2016
10392^606869-69175182686Enzo Doria11/2015
10403*10^182614-11182615Robert Price07/2018
10412^606560-357182593Enzo Doria05/2014
10422^605687+1866983182330Enzo Doria03/2016
10432^605655-114445182321Enzo Doria02/2015
1044(20^140053+1)/21182212Paul Bourdelais04/2010
1045(14*10^182177-221)/9182178Robert Price04/2018
10462^605174-112751182176Enzo Doria06/2014
10472^604761+1874507182052Enzo Doria06/2016
10482^604705+1871957182035Enzo Doria05/2016
1049(14*10^182000+229)/9182001Robert Price03/2018
1050(10^181996+41)/3181996Robert Price12/2017
1051(5*10^181950-101)/3181951Robert Price04/2018
10522^603915+75233181797Enzo Doria04/2016
105311^174145-360181354Enzo Doria10/2012
10542^602351-396765181326Enzo Doria08/2013
10556*10^181306+17181307Robert Price04/2019
10562^601957-113833181208Enzo Doria09/2014
105766^99581-65^99581181193Robert Price09/2013
105810^181182+383973181183Patrick De Geest04/2016
105910^181182-21181182Serge Batalov12/2014
1060(5*10^181127-29)/3181128Robert Price03/2018
10612^601521-29143181076Enzo Doria07/2015
10622^601442-2797811181053Enzo Doria04/2016
10635*10^180992-9180993Robert Price05/2015
106410^180979+79477180980Patrick De Geest04/2016
106510^180979+107739180980Patrick De Geest04/2016
106610^180979-11180979Serge Batalov12/2014
10672^601023-113851180926Enzo Doria10/2014
10683*10^180852+29180853Robert Price05/2018
10692^600300-1852559180709Enzo Doria08/2015
1070(10^180689+71)/9180689Serge Batalov07/2015
10712^600209+76487180681Enzo Doria05/2016
10722^599702-369885180529Enzo Doria11/2013
1073Tau(643^11688)180524Nik Lygeros / Olivier Rozier05/2015
1074(2951*29^123418-3)/4180490Curtis Bright05/2015
10754*10^180360+93180361Robert Price08/2018
10762^598942+80779180300Enzo Doria07/2016
1077(38*10^180296+403)/9180297Robert Price10/2018
10782^598591-1844797180194Enzo Doria06/2015
1079(100^90089+1)/101180176Paul Bourdelais08/2017
10806*10^179970+91179971Robert Price05/2019
1081(4*10^179963-79)/3179964Robert Price02/2018
1082Gamma-Prime(179849)179849Eric W. Weisstein06/2011
10832^597424-1859729179843Enzo Doria11/2015
1084Phi(180683,10)179760Maksym Voznyy09/2015
1085(10^180683-1)*9/(10^643-1)/(10^281-1)179760Robert Price07/2016
1086(3^376657-2^376657)/22301107657179701Mike Oakes04/2017
1087(29*10^179697+223)/9179698Robert Price09/2018
10882^596690-461261179622Enzo Doria07/2015
10892^596684-113939179620Enzo Doria10/2014
10902*10^179602+63179603Robert Price05/2018
10913^375887-112696179344Enzo Doria07/2014
10924*10^179265-71179266Robert Price12/2018
10932^595144-1850429179157Enzo Doria08/2015
10943*10^179138+89179139Robert Price10/2018
10952^594531+82253178972Enzo Doria09/2016
10962^594260-2787899178891Enzo Doria11/2015
10972^593631+101381178701Jorge Menendez04/2018
109810^178695+136719178696Patrick De Geest05/2016
109910^178695-71178695Serge Batalov12/2014
1100(2^148330+1)^4-2178608Cletus Emmanuel12/2003
11012^593222-14145178578Jorge Menendez10/2017
11022^593178+1867219178565Enzo Doria03/2016
1103(18^142031-1)/17178287Paul Bourdelais03/2010
1104(5*10^178206+91)/3178207Robert Price04/2018
11052^591872-291929178172Enzo Doria07/2015
11062^591682-286871178115Enzo Doria07/2015
11074*10^178091+9178092Robert Price05/2015
1108410747#+478483178007Makoto Morimoto02/2016
11093*10^177872+73177873Robert Price08/2018
11102^590762-396765177838Enzo Doria08/2013
1111(136*10^177754-1)/9177756Serge Batalov12/2014
1112ReverseConsecutiveIntegerPrime(37765)177719Eric W. Weisstein04/2010
1113(11*10^177466-113)/3177467Robert Price10/2018
11143*10^177373-97177374Robert Price07/2018
11152^589204+1881151177369Enzo Doria11/2016
11162^589132-69479177347Enzo Doria01/2016
11172^588912-113519177281Enzo Doria08/2014
111815^150706+2177245Robert Price06/2015
11192^588194-1861001177065Enzo Doria11/2015
1120(19*10^176932+521)/9176933Robert Price05/2018
1121(8*10^176908+43)/3176909Robert Price06/2018
11222^587560-113699176874Enzo Doria09/2014
11235^252763-12862176674Enzo Doria05/2014
11242^586804+81721176646Enzo Doria08/2016
1125(10^176584+77)/3176584Robert Price01/2018
11262^586570+1874419176576Enzo Doria06/2016
11272^585994-3311176402Yves Minet12/2014
11282^585832-112799176354Enzo Doria07/2014
11292^585336-461039176204Enzo Doria06/2015
11302^585095-1848127176132Enzo Doria08/2015
11312^584950-115451176088Enzo Doria07/2015
11322^584671-3697176004Yves Minet03/2017
1133(13*10^175965-37)/3175966Robert Price01/2019
11342*10^175860-87175861Robert Price04/2018
113510^175608+2971175609Mike Oakes05/2010
113610^175608-55829175608Patrick De Geest09/2013
11372^583051+1879793175516Enzo Doria09/2016
11382^582860-23829175459Enzo Doria08/2013
11392^582670-23913175402Enzo Doria08/2013
11402^582573-29563175372Enzo Doria08/2015
11412^582435-1862767175331Enzo Doria12/2015
1142(11*10^175250-149)/3175251Robert Price09/2018
11432^582072-1848599175222Enzo Doria08/2015
1144(404267#+465)/(3^4*5^2*31)175208Makoto Morimoto06/2019
1145(220221^32768+1)/2175075Serge Batalov03/2018
11462^581560+1874911175068Enzo Doria06/2016
1147(75^93307-1)/74174955Paul Bourdelais09/2017
1148(47*10^174790+493)/9174791Robert Price03/2019
11492^580528-114035174757Enzo Doria11/2014
1150(19*10^174754+737)/9174755Robert Price07/2018
1151(35*10^174704-377)/9174705Robert Price07/2018
11523*10^174665-97174666Robert Price07/2018
11532^580046-459161174612Enzo Doria05/2015
11542^579992-39779174595Enzo Doria09/2015
1155(2*10^174301-71)/3174301Robert Price12/2017
1156(2^578696+1)/257174203Lelio R Paula09/2015
11572^578656-1851809174193Enzo Doria08/2015
11582^578583-113917174171Enzo Doria10/2014
11592^578434-83174126Yves Minet07/2017
116015^148048-2174118Robert Price06/2015
11615*10^174101+81174102Robert Price03/2019
11622^578346+2794249174100Enzo Doria03/2016
11635*10^173904-13173905Robert Price01/2019
1164(43*10^173826+101)/9173827Robert Price11/2018
11652*10^173809-87173810Robert Price04/2018
1166(L!41532)/2173772Serge Batalov07/2017
11672^577146-49877173739Enzo Doria10/2015
11682^576889+49727173661Enzo Doria09/2016
1169(2^576551-1)/4612409/64758208321/242584327930759173528Dario Alpern06/2014
1170(13*10^173467-37)/3173468Robert Price01/2019
11712^576016-113919173399Enzo Doria11/2014
11722^575911-1849387173367Enzo Doria08/2015
1173(16*10^173251+107)/3173252Robert Price03/2019
11742^575196-114053173152Enzo Doria11/2014
11752^574591-115387172970Enzo Doria07/2015
11762^574328+81121172890Enzo Doria07/2016
1177(115*10^172862-1)/3172864Serge Batalov12/2014
11783*10^172812+13172813Robert Price07/2018
11794*5^247217-9172798Lelio R Paula10/2015
118069061#+(467617#)/(69061#)172766Makoto Morimoto10/2017
11815*10^172692+57172693Robert Price12/2018
11822^573668-2782319172692Enzo Doria09/2015
11832^573444-1855109172624Enzo Doria09/2015
11843^361608+2172531Robert Price08/2014
1185(54^99563+1)/55172481Paul Bourdelais11/2017
11862^572592-114893172368Enzo Doria05/2015
11875^246497-4^246497172295Jean-Louis Charton11/2008
1188(38^109037-1)/37172254Paul Bourdelais10/2017
11893*10^172219+73172220Robert Price08/2018
1190(36^110503+1)/37171975Lelio R Paula04/2017
1191(22*10^171929-73)/3171930Robert Price04/2019
11924*10^171891-63171892Robert Price10/2018
11932^570980-2782289171883Enzo Doria09/2015
1194(2^(12*47563+13)-9)/7171818Kevin Acres11/2013
11952^569563-1854607171456Enzo Doria09/2015
11963*10^171391+59171392Robert Price08/2018
1197(13*10^171306-37)/3171307Robert Price01/2019
1198(55^98419-1)/54171284Paul Bourdelais12/2017
11992^568642+1876129171179Enzo Doria07/2016
1200(46*10^170932+143)/9170933Robert Price01/2019
1201(58*10^170842+221)/9170843Robert Price02/2017
12023*10^170800+73170801Robert Price08/2018
120311^164009-270170798Enzo Doria10/2012
12042*10^170767+41170768Robert Price05/2018
12053^357706-112358170670Enzo Doria07/2014
1206TheodorusPrime(170657)170657Eric W. Weisstein08/2013
12072^566871+1876163170646Enzo Doria07/2016
1208(10657#+(404267#)/(10657#))/(1675379)170624Makoto Morimoto10/2017
12092^566496+7170533Donovan Johnson07/2006
1210(7^201653+1)/8170416Paul Bourdelais02/2010
12112^565183-352021170138Enzo Doria07/2015
12122^565143-114457170125Enzo Doria02/2015
12132^564976-49869170075Enzo Doria10/2015
12142^564526-351401169940Enzo Doria07/2015
12154*10^169759+19169760Robert Price10/2018
121621^128327-20^128327169677Jean-Louis Charton11/2014
1217(4*10^169559+83)/3169560Robert Price02/2018
12182^562749+2793047169405Enzo Doria02/2016
1219(154*10^169337-1)/9169339Serge Batalov12/2014
1220(56*10^169311+691)/9169312Robert Price05/2019
12212^562369-29503169290Enzo Doria08/2015
1222(22*10^169019+383)/9169020Robert Price05/2018
12235*10^168807+87168808Robert Price02/2019
12242^560405-39943168699Enzo Doria09/2015
12252^559686-350471168483Enzo Doria06/2015
12262^559672-1855889168479Enzo Doria09/2015
1227(5*10^168379-473)/9168379Robert Price01/2018
12282^559000-59939168276Enzo Doria11/2015
1229(16*10^168181+41)/3168182Robert Price03/2019
1230(19*10^168173+77)/3168174Robert Price05/2019
12312^558640-114149168168Enzo Doria12/2014
12322^558498-1849277168125Enzo Doria08/2015
12332^558476-1850249168119Enzo Doria08/2015
1234(7*10^168067+71)/3168068Robert Price05/2018
12352^558150-1852211168020Enzo Doria08/2015
12362^558125-113661168013Enzo Doria09/2014
1237393^64747-392^64747167980Jean-Louis Charton08/2012
1238(13*10^167911+179)/3167912Robert Price11/2018
123939^105456+2167788Robert Price04/2015
1240(28^115877-1)/27167691Paul Bourdelais12/2017
124110^167639+121911167640Patrick De Geest07/2018
124210^167639-8001167639Robert Price03/2018
12432^556504-462059167525Enzo Doria07/2015
12445*10^167510+9167511Robert Price08/2015
12452^555343+1874333167175Enzo Doria06/2016
12462^555210-461261167135Enzo Doria07/2015
12472^554372+1880527166883Enzo Doria11/2016
12482^554299+72173166861Enzo Doria04/2016
12492^554037-2797063166782Enzo Doria03/2016
1250(49*10^166721-139)/9166722Robert Price03/2019


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: June, 18 2019 07:14 (Time in France)

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