PRP Records

Probable Primes Top 10000

(252402 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 ?
10012^604761+1874507182052Enzo Doria06/2016
10022^604705+1871957182035Enzo Doria05/2016
1003(14*10^182000+229)/9182001Robert Price03/2018
1004(10^181996+41)/3181996Robert Price12/2017
1005(5*10^181950-101)/3181951Robert Price04/2018
10062^603915+75233181797Enzo Doria04/2016
100711^174145-360181354Enzo Doria10/2012
10082^602351-396765181326Enzo Doria08/2013
10092^601957-113833181208Enzo Doria09/2014
101066^99581-65^99581181193Robert Price09/2013
101110^181182+383973181183Patrick De Geest04/2016
101210^181182-21181182Serge Batalov12/2014
1013(5*10^181127-29)/3181128Robert Price03/2018
10142^601521-29143181076Enzo Doria07/2015
10152^601442-2797811181053Enzo Doria04/2016
10165*10^180992-9180993Robert Price05/2015
101710^180979+79477180980Patrick De Geest04/2016
101810^180979+107739180980Patrick De Geest04/2016
101910^180979-11180979Serge Batalov12/2014
10202^601023-113851180926Enzo Doria10/2014
10213*10^180852+29180853Robert Price05/2018
10222^600300-1852559180709Enzo Doria08/2015
1023(10^180689+71)/9180689Serge Batalov07/2015
10242^600209+76487180681Enzo Doria05/2016
10252^599702-369885180529Enzo Doria11/2013
1026Tau(643^11688)180524Nik Lygeros / Olivier Rozier05/2015
1027(2951*29^123418-3)/4180490Curtis Bright05/2015
10284*10^180360+93180361Robert Price08/2018
10292^598942+80779180300Enzo Doria07/2016
1030(38*10^180296+403)/9180297Robert Price10/2018
10312^598591-1844797180194Enzo Doria06/2015
1032(100^90089+1)/101180176Paul Bourdelais08/2017
1033(4*10^179963-79)/3179964Robert Price02/2018
1034Gamma-Prime(179849)179849Eric W. Weisstein06/2011
10352^597424-1859729179843Enzo Doria11/2015
1036Phi(180683,10)179760Maksym Voznyy09/2015
1037(10^180683-1)*9/(10^643-1)/(10^281-1)179760Robert Price07/2016
1038(3^376657-2^376657)/22301107657179701Mike Oakes04/2017
1039(29*10^179697+223)/9179698Robert Price09/2018
10402^596690-461261179622Enzo Doria07/2015
10412^596684-113939179620Enzo Doria10/2014
10422*10^179602+63179603Robert Price05/2018
10433^375887-112696179344Enzo Doria07/2014
10442^595144-1850429179157Enzo Doria08/2015
10453*10^179138+89179139Robert Price10/2018
10462^594531+82253178972Enzo Doria09/2016
10472^594260-2787899178891Enzo Doria11/2015
10482^593631+101381178701Jorge Menendez04/2018
104910^178695+136719178696Patrick De Geest05/2016
105010^178695-71178695Serge Batalov12/2014
1051(2^148330+1)^4-2178608Cletus Emmanuel12/2003
10522^593222-14145178578Jorge Menendez10/2017
10532^593178+1867219178565Enzo Doria03/2016
1054(18^142031-1)/17178287Paul Bourdelais03/2010
1055(5*10^178206+91)/3178207Robert Price04/2018
10562^591872-291929178172Enzo Doria07/2015
10572^591682-286871178115Enzo Doria07/2015
10584*10^178091+9178092Robert Price05/2015
1059410747#+478483178007Makoto Morimoto02/2016
10603*10^177872+73177873Robert Price08/2018
10612^590762-396765177838Enzo Doria08/2013
1062(136*10^177754-1)/9177756Serge Batalov12/2014
1063ReverseConsecutiveIntegerPrime(37765)177719Eric W. Weisstein04/2010
1064(11*10^177466-113)/3177467Robert Price10/2018
10653*10^177373-97177374Robert Price07/2018
10662^589204+1881151177369Enzo Doria11/2016
10672^589132-69479177347Enzo Doria01/2016
10682^588912-113519177281Enzo Doria08/2014
106915^150706+2177245Robert Price06/2015
10702^588194-1861001177065Enzo Doria11/2015
1071(19*10^176932+521)/9176933Robert Price05/2018
1072(8*10^176908+43)/3176909Robert Price06/2018
10732^587560-113699176874Enzo Doria09/2014
10745^252763-12862176674Enzo Doria05/2014
10752^586804+81721176646Enzo Doria08/2016
1076(10^176584+77)/3176584Robert Price01/2018
10772^586570+1874419176576Enzo Doria06/2016
10782^585994-3311176402Yves Minet12/2014
10792^585832-112799176354Enzo Doria07/2014
10802^585336-461039176204Enzo Doria06/2015
10812^585095-1848127176132Enzo Doria08/2015
10822^584950-115451176088Enzo Doria07/2015
10832^584671-3697176004Yves Minet03/2017
10842*10^175860-87175861Robert Price04/2018
108510^175608+2971175609Mike Oakes05/2010
108610^175608-55829175608Patrick De Geest09/2013
10872^583051+1879793175516Enzo Doria09/2016
10882^582860-23829175459Enzo Doria08/2013
10892^582670-23913175402Enzo Doria08/2013
10902^582573-29563175372Enzo Doria08/2015
10912^582435-1862767175331Enzo Doria12/2015
1092(11*10^175250-149)/3175251Robert Price09/2018
10932^582072-1848599175222Enzo Doria08/2015
1094(220221^32768+1)/2175075Serge Batalov03/2018
10952^581560+1874911175068Enzo Doria06/2016
1096(75^93307-1)/74174955Paul Bourdelais09/2017
10972^580528-114035174757Enzo Doria11/2014
1098(19*10^174754+737)/9174755Robert Price07/2018
1099(35*10^174704-377)/9174705Robert Price07/2018
11003*10^174665-97174666Robert Price07/2018
11012^580046-459161174612Enzo Doria05/2015
11022^579992-39779174595Enzo Doria09/2015
1103(2*10^174301-71)/3174301Robert Price12/2017
1104(2^578696+1)/257174203Lelio R Paula09/2015
11052^578656-1851809174193Enzo Doria08/2015
11062^578583-113917174171Enzo Doria10/2014
11072^578434-83174126Yves Minet07/2017
110815^148048-2174118Robert Price06/2015
11092^578346+2794249174100Enzo Doria03/2016
1110(43*10^173826+101)/9173827Robert Price11/2018
11112*10^173809-87173810Robert Price04/2018
1112(L!41532)/2173772Serge Batalov07/2017
11132^577146-49877173739Enzo Doria10/2015
11142^576889+49727173661Enzo Doria09/2016
1115(2^576551-1)/4612409/64758208321/242584327930759173528Dario Alpern06/2014
11162^576016-113919173399Enzo Doria11/2014
11172^575911-1849387173367Enzo Doria08/2015
11182^575196-114053173152Enzo Doria11/2014
11192^574591-115387172970Enzo Doria07/2015
11202^574328+81121172890Enzo Doria07/2016
1121(115*10^172862-1)/3172864Serge Batalov12/2014
11223*10^172812+13172813Robert Price07/2018
11234*5^247217-9172798Lelio R Paula10/2015
112469061#+(467617#)/(69061#)172766Makoto Morimoto10/2017
11252^573668-2782319172692Enzo Doria09/2015
11262^573444-1855109172624Enzo Doria09/2015
11273^361608+2172531Robert Price08/2014
1128(54^99563+1)/55172481Paul Bourdelais11/2017
11292^572592-114893172368Enzo Doria05/2015
11305^246497-4^246497172295Jean-Louis Charton11/2008
1131(38^109037-1)/37172254Paul Bourdelais10/2017
11323*10^172219+73172220Robert Price08/2018
1133(36^110503+1)/37171975Lelio R Paula04/2017
11344*10^171891-63171892Robert Price10/2018
11352^570980-2782289171883Enzo Doria09/2015
1136(2^(12*47563+13)-9)/7171818Kevin Acres11/2013
11372^569563-1854607171456Enzo Doria09/2015
11383*10^171391+59171392Robert Price08/2018
1139(55^98419-1)/54171284Paul Bourdelais12/2017
11402^568642+1876129171179Enzo Doria07/2016
1141(58*10^170842+221)/9170843Robert Price02/2017
11423*10^170800+73170801Robert Price08/2018
114311^164009-270170798Enzo Doria10/2012
11442*10^170767+41170768Robert Price05/2018
11453^357706-112358170670Enzo Doria07/2014
1146TheodorusPrime(170657)170657Eric W. Weisstein08/2013
11472^566871+1876163170646Enzo Doria07/2016
1148(10657#+(404267#)/(10657#))/(1675379)170624Makoto Morimoto10/2017
11492^566496+7170533Donovan Johnson07/2006
1150(7^201653+1)/8170416Paul Bourdelais02/2010
11512^565183-352021170138Enzo Doria07/2015
11522^565143-114457170125Enzo Doria02/2015
11532^564976-49869170075Enzo Doria10/2015
11542^564526-351401169940Enzo Doria07/2015
11554*10^169759+19169760Robert Price10/2018
115621^128327-20^128327169677Jean-Louis Charton11/2014
1157(4*10^169559+83)/3169560Robert Price02/2018
11582^562749+2793047169405Enzo Doria02/2016
1159(154*10^169337-1)/9169339Serge Batalov12/2014
11602^562369-29503169290Enzo Doria08/2015
1161(22*10^169019+383)/9169020Robert Price05/2018
11622^560405-39943168699Enzo Doria09/2015
11632^559686-350471168483Enzo Doria06/2015
11642^559672-1855889168479Enzo Doria09/2015
1165(5*10^168379-473)/9168379Robert Price01/2018
11662^559000-59939168276Enzo Doria11/2015
11672^558640-114149168168Enzo Doria12/2014
11682^558498-1849277168125Enzo Doria08/2015
11692^558476-1850249168119Enzo Doria08/2015
1170(7*10^168067+71)/3168068Robert Price05/2018
11712^558150-1852211168020Enzo Doria08/2015
11722^558125-113661168013Enzo Doria09/2014
1173393^64747-392^64747167980Jean-Louis Charton08/2012
1174(13*10^167911+179)/3167912Robert Price11/2018
117539^105456+2167788Robert Price04/2015
1176(28^115877-1)/27167691Paul Bourdelais12/2017
117710^167639+121911167640Patrick De Geest07/2018
117810^167639-8001167639Robert Price03/2018
11792^556504-462059167525Enzo Doria07/2015
11805*10^167510+9167511Robert Price08/2015
11812^555343+1874333167175Enzo Doria06/2016
11822^555210-461261167135Enzo Doria07/2015
11832^554372+1880527166883Enzo Doria11/2016
11842^554299+72173166861Enzo Doria04/2016
11852^554037-2797063166782Enzo Doria03/2016
11862^553484-29819166616Enzo Doria08/2015
11872^553383-2784217166585Enzo Doria10/2015
11882^553069+76427166491Enzo Doria05/2016
11892*10^166458+51166459Robert Price05/2018
1190589^60089-588^60089166454Jean-Louis Charton09/2012
119111^159756-2424166369Mike Oakes06/2010
11922^552649-361275166364Enzo Doria05/2014
11932^552628-113669166358Enzo Doria09/2014
119410^166324+550603166325Patrick De Geest07/2018
119510^166324-801166324Robert Price02/2018
11962^552137+1879397166210Enzo Doria09/2016
1197(23^121949-1)/22166061Paul Bourdelais10/2017
11982^551542+19249166031Payam Samidoost08/2002
11992^551535-23821166029Enzo Doria08/2013
12002^551507-23557166021Enzo Doria08/2013
12017*10^165916-3165917Robert Price08/2015
120281^86837-80^86837165728Robert Price01/2015
12032^550270-69551165648Enzo Doria12/2015
12042^550000-23625165567Enzo Doria08/2013
12052^549675-1852057165469Enzo Doria08/2015
1206-tau(103^14938)165374Nik Lygeros / Olivier Rozier10/2013
1207(28*10^165358-1)/9165359Serge Batalov10/2014
12082^549278+1879669165350Enzo Doria09/2016
1209(7*10^165350-439)/9165350Robert Price02/2018
12102^549252-351269165342Enzo Doria06/2015
12112^549049+2797607165281Enzo Doria04/2016
1212(7*10^165239+107)/3165240Robert Price02/2018
1213(44^100511-1)/43165184Paul Bourdelais11/2017
1214(7*10^165134+107)/3165135Robert Price02/2018
12152^547178-1856501164717Enzo Doria10/2015
121611^158160-60164707Enzo Doria07/2012
12172^546398-59201164483Enzo Doria10/2015
12182^546332-114893164463Enzo Doria05/2015
12192^545958+1876189164350Enzo Doria07/2016
12202^545878-49841164326Enzo Doria10/2015
1221(10^164284+77)/3164284Robert Price01/2018
12222^545668-4019164263Yves Minet04/2017
1223(13*53^238539*617^9)/10^247183164151Hans Havermann07/2017
12242^545185+76757164118Enzo Doria05/2016
12252^545076-114329164085Enzo Doria01/2015
1226(2*10^164043-143)/3164043Robert Price03/2018
1227(29^112153+1)/30164011Lelio R Paula03/2017
12282^544757+1874777163989Enzo Doria06/2016
12292^544444-457199163894Enzo Doria01/2015
12302^544264-343529163840Enzo Doria07/2015
12317*10^163780+9163781Robert Price09/2015
12322^543989+2793047163758Enzo Doria02/2016
12332^542870-69551163421Enzo Doria12/2015
12342^542395+72533163278Enzo Doria04/2016
12352^542072-3683163180Yves Minet03/2017
12362^541779-1867357163092Enzo Doria04/2016
12378*10^162924+9162925Robert Price12/2015
12382^540905+81557162829Enzo Doria08/2016
12392^540628-2939162746Yves Minet09/2014
1240919^54919-918^54919162743Jean-Louis Charton01/2013
12413*10^162620-59162621Robert Price09/2018
12423^340694-112960162553Enzo Doria07/2014
12432^539807-114081162499Enzo Doria12/2014
12442^539654-114893162453Enzo Doria05/2015
12452^539617-1851583162441Enzo Doria08/2015
12462^539346+81049162360Enzo Doria07/2016
12472^539220-115499162322Enzo Doria07/2015
12482^539217-113713162321Enzo Doria09/2014
12499^170099-8^170099162316Jean-Louis Charton05/2005
1250(115*10^162153-1)/3162155Serge Batalov12/2014


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: December, 17 2018 20:37 (Time in France)

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