PRP Records

Probable Primes Top 10000

(252602 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 ?
10012^610982-1867301183924Enzo Doria03/2016
10023*10^183872-49183873Robert Price07/2018
10032^610597+1178897183809Enzo Doria05/2016
1004(17*10^183764+31)/3183765Robert Price01/2019
1005(28*10^183760-1)/9183761Serge Batalov10/2014
10062^610401+1277183750Lelio R Paula07/2013
10072^610356-1849019183736Enzo Doria08/2015
1008(63^102103+1)/64183717Paul Bourdelais10/2017
1009(2^610289+1)/(3*528882550291)183704Gord Palameta08/2018
1010(4*10^183659+149)/9183659Robert Price04/2018
10112^609846-1834251183582Enzo Doria07/2015
101211^176176-240183469Enzo Doria11/2012
1013(41^113749+1)/42183451Paul Bourdelais11/2017
1014(101^91463+1)/102183320Paul Bourdelais11/2017
10152^608965-113989183317Enzo Doria10/2014
1016A005165(43592)183312Serge Batalov07/2017
10172^608814-461261183272Enzo Doria06/2015
1018(163*10^183227-1)/9183229Serge Batalov12/2014
10192^608541-608541^2183190Henri Lifchitz02/2018
10202^608293+143807183115Enzo Doria10/2016
10212^608164-462419183076Enzo Doria08/2015
10222^607950-1862303183012Enzo Doria12/2015
10232^607101+1871987182756Enzo Doria05/2016
10242^606869-69175182686Enzo Doria11/2015
10253*10^182614-11182615Robert Price07/2018
10262^606560-357182593Enzo Doria05/2014
10272^605687+1866983182330Enzo Doria03/2016
10282^605655-114445182321Enzo Doria02/2015
1029(20^140053+1)/21182212Paul Bourdelais04/2010
1030(14*10^182177-221)/9182178Robert Price04/2018
10312^605174-112751182176Enzo Doria06/2014
10322^604761+1874507182052Enzo Doria06/2016
10332^604705+1871957182035Enzo Doria05/2016
1034(14*10^182000+229)/9182001Robert Price03/2018
1035(10^181996+41)/3181996Robert Price12/2017
1036(5*10^181950-101)/3181951Robert Price04/2018
10372^603915+75233181797Enzo Doria04/2016
103811^174145-360181354Enzo Doria10/2012
10392^602351-396765181326Enzo Doria08/2013
10402^601957-113833181208Enzo Doria09/2014
104166^99581-65^99581181193Robert Price09/2013
104210^181182+383973181183Patrick De Geest04/2016
104310^181182-21181182Serge Batalov12/2014
1044(5*10^181127-29)/3181128Robert Price03/2018
10452^601521-29143181076Enzo Doria07/2015
10462^601442-2797811181053Enzo Doria04/2016
10475*10^180992-9180993Robert Price05/2015
104810^180979+79477180980Patrick De Geest04/2016
104910^180979+107739180980Patrick De Geest04/2016
105010^180979-11180979Serge Batalov12/2014
10512^601023-113851180926Enzo Doria10/2014
10523*10^180852+29180853Robert Price05/2018
10532^600300-1852559180709Enzo Doria08/2015
1054(10^180689+71)/9180689Serge Batalov07/2015
10552^600209+76487180681Enzo Doria05/2016
10562^599702-369885180529Enzo Doria11/2013
1057Tau(643^11688)180524Nik Lygeros / Olivier Rozier05/2015
1058(2951*29^123418-3)/4180490Curtis Bright05/2015
10594*10^180360+93180361Robert Price08/2018
10602^598942+80779180300Enzo Doria07/2016
1061(38*10^180296+403)/9180297Robert Price10/2018
10622^598591-1844797180194Enzo Doria06/2015
1063(100^90089+1)/101180176Paul Bourdelais08/2017
1064(4*10^179963-79)/3179964Robert Price02/2018
1065Gamma-Prime(179849)179849Eric W. Weisstein06/2011
10662^597424-1859729179843Enzo Doria11/2015
1067Phi(180683,10)179760Maksym Voznyy09/2015
1068(10^180683-1)*9/(10^643-1)/(10^281-1)179760Robert Price07/2016
1069(3^376657-2^376657)/22301107657179701Mike Oakes04/2017
1070(29*10^179697+223)/9179698Robert Price09/2018
10712^596690-461261179622Enzo Doria07/2015
10722^596684-113939179620Enzo Doria10/2014
10732*10^179602+63179603Robert Price05/2018
10743^375887-112696179344Enzo Doria07/2014
10754*10^179265-71179266Robert Price12/2018
10762^595144-1850429179157Enzo Doria08/2015
10773*10^179138+89179139Robert Price10/2018
10782^594531+82253178972Enzo Doria09/2016
10792^594260-2787899178891Enzo Doria11/2015
10802^593631+101381178701Jorge Menendez04/2018
108110^178695+136719178696Patrick De Geest05/2016
108210^178695-71178695Serge Batalov12/2014
1083(2^148330+1)^4-2178608Cletus Emmanuel12/2003
10842^593222-14145178578Jorge Menendez10/2017
10852^593178+1867219178565Enzo Doria03/2016
1086(18^142031-1)/17178287Paul Bourdelais03/2010
1087(5*10^178206+91)/3178207Robert Price04/2018
10882^591872-291929178172Enzo Doria07/2015
10892^591682-286871178115Enzo Doria07/2015
10904*10^178091+9178092Robert Price05/2015
1091410747#+478483178007Makoto Morimoto02/2016
10923*10^177872+73177873Robert Price08/2018
10932^590762-396765177838Enzo Doria08/2013
1094(136*10^177754-1)/9177756Serge Batalov12/2014
1095ReverseConsecutiveIntegerPrime(37765)177719Eric W. Weisstein04/2010
1096(11*10^177466-113)/3177467Robert Price10/2018
10973*10^177373-97177374Robert Price07/2018
10982^589204+1881151177369Enzo Doria11/2016
10992^589132-69479177347Enzo Doria01/2016
11002^588912-113519177281Enzo Doria08/2014
110115^150706+2177245Robert Price06/2015
11022^588194-1861001177065Enzo Doria11/2015
1103(19*10^176932+521)/9176933Robert Price05/2018
1104(8*10^176908+43)/3176909Robert Price06/2018
11052^587560-113699176874Enzo Doria09/2014
11065^252763-12862176674Enzo Doria05/2014
11072^586804+81721176646Enzo Doria08/2016
1108(10^176584+77)/3176584Robert Price01/2018
11092^586570+1874419176576Enzo Doria06/2016
11102^585994-3311176402Yves Minet12/2014
11112^585832-112799176354Enzo Doria07/2014
11122^585336-461039176204Enzo Doria06/2015
11132^585095-1848127176132Enzo Doria08/2015
11142^584950-115451176088Enzo Doria07/2015
11152^584671-3697176004Yves Minet03/2017
1116(13*10^175965-37)/3175966Robert Price01/2019
11172*10^175860-87175861Robert Price04/2018
111810^175608+2971175609Mike Oakes05/2010
111910^175608-55829175608Patrick De Geest09/2013
11202^583051+1879793175516Enzo Doria09/2016
11212^582860-23829175459Enzo Doria08/2013
11222^582670-23913175402Enzo Doria08/2013
11232^582573-29563175372Enzo Doria08/2015
11242^582435-1862767175331Enzo Doria12/2015
1125(11*10^175250-149)/3175251Robert Price09/2018
11262^582072-1848599175222Enzo Doria08/2015
1127(220221^32768+1)/2175075Serge Batalov03/2018
11282^581560+1874911175068Enzo Doria06/2016
1129(75^93307-1)/74174955Paul Bourdelais09/2017
11302^580528-114035174757Enzo Doria11/2014
1131(19*10^174754+737)/9174755Robert Price07/2018
1132(35*10^174704-377)/9174705Robert Price07/2018
11333*10^174665-97174666Robert Price07/2018
11342^580046-459161174612Enzo Doria05/2015
11352^579992-39779174595Enzo Doria09/2015
1136(2*10^174301-71)/3174301Robert Price12/2017
1137(2^578696+1)/257174203Lelio R Paula09/2015
11382^578656-1851809174193Enzo Doria08/2015
11392^578583-113917174171Enzo Doria10/2014
11402^578434-83174126Yves Minet07/2017
114115^148048-2174118Robert Price06/2015
11425*10^174101+81174102Robert Price03/2019
11432^578346+2794249174100Enzo Doria03/2016
11445*10^173904-13173905Robert Price01/2019
1145(43*10^173826+101)/9173827Robert Price11/2018
11462*10^173809-87173810Robert Price04/2018
1147(L!41532)/2173772Serge Batalov07/2017
11482^577146-49877173739Enzo Doria10/2015
11492^576889+49727173661Enzo Doria09/2016
1150(2^576551-1)/4612409/64758208321/242584327930759173528Dario Alpern06/2014
1151(13*10^173467-37)/3173468Robert Price01/2019
11522^576016-113919173399Enzo Doria11/2014
11532^575911-1849387173367Enzo Doria08/2015
1154(16*10^173251+107)/3173252Robert Price03/2019
11552^575196-114053173152Enzo Doria11/2014
11562^574591-115387172970Enzo Doria07/2015
11572^574328+81121172890Enzo Doria07/2016
1158(115*10^172862-1)/3172864Serge Batalov12/2014
11593*10^172812+13172813Robert Price07/2018
11604*5^247217-9172798Lelio R Paula10/2015
116169061#+(467617#)/(69061#)172766Makoto Morimoto10/2017
11625*10^172692+57172693Robert Price12/2018
11632^573668-2782319172692Enzo Doria09/2015
11642^573444-1855109172624Enzo Doria09/2015
11653^361608+2172531Robert Price08/2014
1166(54^99563+1)/55172481Paul Bourdelais11/2017
11672^572592-114893172368Enzo Doria05/2015
11685^246497-4^246497172295Jean-Louis Charton11/2008
1169(38^109037-1)/37172254Paul Bourdelais10/2017
11703*10^172219+73172220Robert Price08/2018
1171(36^110503+1)/37171975Lelio R Paula04/2017
11724*10^171891-63171892Robert Price10/2018
11732^570980-2782289171883Enzo Doria09/2015
1174(2^(12*47563+13)-9)/7171818Kevin Acres11/2013
11752^569563-1854607171456Enzo Doria09/2015
11763*10^171391+59171392Robert Price08/2018
1177(13*10^171306-37)/3171307Robert Price01/2019
1178(55^98419-1)/54171284Paul Bourdelais12/2017
11792^568642+1876129171179Enzo Doria07/2016
1180(46*10^170932+143)/9170933Robert Price01/2019
1181(58*10^170842+221)/9170843Robert Price02/2017
11823*10^170800+73170801Robert Price08/2018
118311^164009-270170798Enzo Doria10/2012
11842*10^170767+41170768Robert Price05/2018
11853^357706-112358170670Enzo Doria07/2014
1186TheodorusPrime(170657)170657Eric W. Weisstein08/2013
11872^566871+1876163170646Enzo Doria07/2016
1188(10657#+(404267#)/(10657#))/(1675379)170624Makoto Morimoto10/2017
11892^566496+7170533Donovan Johnson07/2006
1190(7^201653+1)/8170416Paul Bourdelais02/2010
11912^565183-352021170138Enzo Doria07/2015
11922^565143-114457170125Enzo Doria02/2015
11932^564976-49869170075Enzo Doria10/2015
11942^564526-351401169940Enzo Doria07/2015
11954*10^169759+19169760Robert Price10/2018
119621^128327-20^128327169677Jean-Louis Charton11/2014
1197(4*10^169559+83)/3169560Robert Price02/2018
11982^562749+2793047169405Enzo Doria02/2016
1199(154*10^169337-1)/9169339Serge Batalov12/2014
12002^562369-29503169290Enzo Doria08/2015
1201(22*10^169019+383)/9169020Robert Price05/2018
12025*10^168807+87168808Robert Price02/2019
12032^560405-39943168699Enzo Doria09/2015
12042^559686-350471168483Enzo Doria06/2015
12052^559672-1855889168479Enzo Doria09/2015
1206(5*10^168379-473)/9168379Robert Price01/2018
12072^559000-59939168276Enzo Doria11/2015
1208(16*10^168181+41)/3168182Robert Price03/2019
12092^558640-114149168168Enzo Doria12/2014
12102^558498-1849277168125Enzo Doria08/2015
12112^558476-1850249168119Enzo Doria08/2015
1212(7*10^168067+71)/3168068Robert Price05/2018
12132^558150-1852211168020Enzo Doria08/2015
12142^558125-113661168013Enzo Doria09/2014
1215393^64747-392^64747167980Jean-Louis Charton08/2012
1216(13*10^167911+179)/3167912Robert Price11/2018
121739^105456+2167788Robert Price04/2015
1218(28^115877-1)/27167691Paul Bourdelais12/2017
121910^167639+121911167640Patrick De Geest07/2018
122010^167639-8001167639Robert Price03/2018
12212^556504-462059167525Enzo Doria07/2015
12225*10^167510+9167511Robert Price08/2015
12232^555343+1874333167175Enzo Doria06/2016
12242^555210-461261167135Enzo Doria07/2015
12252^554372+1880527166883Enzo Doria11/2016
12262^554299+72173166861Enzo Doria04/2016
12272^554037-2797063166782Enzo Doria03/2016
1228(49*10^166721-139)/9166722Robert Price03/2019
12292^553484-29819166616Enzo Doria08/2015
12302^553383-2784217166585Enzo Doria10/2015
12312^553069+76427166491Enzo Doria05/2016
12322*10^166458+51166459Robert Price05/2018
1233589^60089-588^60089166454Jean-Louis Charton09/2012
123411^159756-2424166369Mike Oakes06/2010
12352^552649-361275166364Enzo Doria05/2014
12362^552628-113669166358Enzo Doria09/2014
123710^166324+550603166325Patrick De Geest07/2018
123810^166324-801166324Robert Price02/2018
12392^552137+1879397166210Enzo Doria09/2016
1240(23^121949-1)/22166061Paul Bourdelais10/2017
12412^551542+19249166031Payam Samidoost08/2002
12422^551535-23821166029Enzo Doria08/2013
12432^551507-23557166021Enzo Doria08/2013
12447*10^165916-3165917Robert Price08/2015
124581^86837-80^86837165728Robert Price01/2015
12462^550270-69551165648Enzo Doria12/2015
12472^550000-23625165567Enzo Doria08/2013
12482^549675-1852057165469Enzo Doria08/2015
1249-tau(103^14938)165374Nik Lygeros / Olivier Rozier10/2013
1250(28*10^165358-1)/9165359Serge Batalov10/2014


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: March, 20 2019 09:34 (Time in France)

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