PRP Records

Probable Primes Top 10000

(231676 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 (> 30000) Who ? When ?
100110^181182-21181182Serge Batalov12/2014
1002(5*10^181127-29)/3181128Robert Price03/2018
10032^601521-29143181076Enzo Doria07/2015
10042^601442-2797811181053Enzo Doria04/2016
10055*10^180992-9180993Robert Price05/2015
100610^180979+79477180980Patrick De Geest04/2016
100710^180979+107739180980Patrick De Geest04/2016
100810^180979-11180979Serge Batalov12/2014
10092^601023-113851180926Enzo Doria10/2014
10103*10^180852+29180853Robert Price05/2018
10112^600300-1852559180709Enzo Doria08/2015
1012(10^180689+71)/9180689Serge Batalov07/2015
10132^600209+76487180681Enzo Doria05/2016
10142^599702-369885180529Enzo Doria11/2013
1015Tau(643^11688)180524Nik Lygeros / Olivier Rozier05/2015
1016(2951*29^123418-3)/4180490Curtis Bright05/2015
10174*10^180360+93180361Robert Price08/2018
10182^598942+80779180300Enzo Doria07/2016
1019(38*10^180296+403)/9180297Robert Price10/2018
10202^598591-1844797180194Enzo Doria06/2015
1021(100^90089+1)/101180176Paul Bourdelais08/2017
1022(4*10^179963-79)/3179964Robert Price02/2018
1023Gamma-Prime(179849)179849Eric W. Weisstein06/2011
10242^597424-1859729179843Enzo Doria11/2015
1025Phi(180683,10)179760Maksym Voznyy09/2015
1026(10^180683-1)*9/(10^643-1)/(10^281-1)179760Robert Price07/2016
1027(3^376657-2^376657)/22301107657179701Mike Oakes04/2017
1028(29*10^179697+223)/9179698Robert Price09/2018
10292^596690-461261179622Enzo Doria07/2015
10302^596684-113939179620Enzo Doria10/2014
10312*10^179602+63179603Robert Price05/2018
10323^375887-112696179344Enzo Doria07/2014
10332^595144-1850429179157Enzo Doria08/2015
10343*10^179138+89179139Robert Price10/2018
10352^594531+82253178972Enzo Doria09/2016
10362^594260-2787899178891Enzo Doria11/2015
10372^593631+101381178701Jorge Menendez04/2018
103810^178695+136719178696Patrick De Geest05/2016
103910^178695-71178695Serge Batalov12/2014
1040(2^148330+1)^4-2178608Cletus Emmanuel12/2003
10412^593222-14145178578Jorge Menendez10/2017
10422^593178+1867219178565Enzo Doria03/2016
1043(18^142031-1)/17178287Paul Bourdelais03/2010
1044(5*10^178206+91)/3178207Robert Price04/2018
10452^591872-291929178172Enzo Doria07/2015
10462^591682-286871178115Enzo Doria07/2015
10474*10^178091+9178092Robert Price05/2015
1048410747#+478483178007Makoto Morimoto02/2016
10493*10^177872+73177873Robert Price08/2018
10502^590762-396765177838Enzo Doria08/2013
1051(136*10^177754-1)/9177756Serge Batalov12/2014
1052ReverseConsecutiveIntegerPrime(37765)177719Eric W. Weisstein04/2010
1053(11*10^177466-113)/3177467Robert Price10/2018
10543*10^177373-97177374Robert Price07/2018
10552^589204+1881151177369Enzo Doria11/2016
10562^589132-69479177347Enzo Doria01/2016
10572^588912-113519177281Enzo Doria08/2014
105815^150706+2177245Robert Price06/2015
10592^588194-1861001177065Enzo Doria11/2015
1060(19*10^176932+521)/9176933Robert Price05/2018
1061(8*10^176908+43)/3176909Robert Price06/2018
10622^587560-113699176874Enzo Doria09/2014
10635^252763-12862176674Enzo Doria05/2014
10642^586804+81721176646Enzo Doria08/2016
1065(10^176584+77)/3176584Robert Price01/2018
10662^586570+1874419176576Enzo Doria06/2016
10672^585994-3311176402Yves Minet12/2014
10682^585832-112799176354Enzo Doria07/2014
10692^585336-461039176204Enzo Doria06/2015
10702^585095-1848127176132Enzo Doria08/2015
10712^584950-115451176088Enzo Doria07/2015
10722^584671-3697176004Yves Minet03/2017
10732*10^175860-87175861Robert Price04/2018
107410^175608+2971175609Mike Oakes05/2010
107510^175608-55829175608Patrick De Geest09/2013
10762^583051+1879793175516Enzo Doria09/2016
10772^582860-23829175459Enzo Doria08/2013
10782^582670-23913175402Enzo Doria08/2013
10792^582573-29563175372Enzo Doria08/2015
10802^582435-1862767175331Enzo Doria12/2015
1081(11*10^175250-149)/3175251Robert Price09/2018
10822^582072-1848599175222Enzo Doria08/2015
1083(220221^32768+1)/2175075Serge Batalov03/2018
10842^581560+1874911175068Enzo Doria06/2016
1085(75^93307-1)/74174955Paul Bourdelais09/2017
10862^580528-114035174757Enzo Doria11/2014
1087(19*10^174754+737)/9174755Robert Price07/2018
1088(35*10^174704-377)/9174705Robert Price07/2018
10893*10^174665-97174666Robert Price07/2018
10902^580046-459161174612Enzo Doria05/2015
10912^579992-39779174595Enzo Doria09/2015
1092(2*10^174301-71)/3174301Robert Price12/2017
1093(2^578696+1)/257174203Lelio R Paula09/2015
10942^578656-1851809174193Enzo Doria08/2015
10952^578583-113917174171Enzo Doria10/2014
10962^578434-83174126Yves Minet07/2017
109715^148048-2174118Robert Price06/2015
10982^578346+2794249174100Enzo Doria03/2016
10992*10^173809-87173810Robert Price04/2018
1100(L!41532)/2173772Serge Batalov07/2017
11012^577146-49877173739Enzo Doria10/2015
11022^576889+49727173661Enzo Doria09/2016
1103(2^576551-1)/4612409/64758208321/242584327930759173528Dario Alpern06/2014
11042^576016-113919173399Enzo Doria11/2014
11052^575911-1849387173367Enzo Doria08/2015
11062^575196-114053173152Enzo Doria11/2014
11072^574591-115387172970Enzo Doria07/2015
11082^574328+81121172890Enzo Doria07/2016
1109(115*10^172862-1)/3172864Serge Batalov12/2014
11103*10^172812+13172813Robert Price07/2018
11114*5^247217-9172798Lelio R Paula10/2015
111269061#+(467617#)/(69061#)172766Makoto Morimoto10/2017
11132^573668-2782319172692Enzo Doria09/2015
11142^573444-1855109172624Enzo Doria09/2015
11153^361608+2172531Robert Price08/2014
1116(54^99563+1)/55172481Paul Bourdelais11/2017
11172^572592-114893172368Enzo Doria05/2015
11185^246497-4^246497172295Jean-Louis Charton11/2008
1119(38^109037-1)/37172254Paul Bourdelais10/2017
11203*10^172219+73172220Robert Price08/2018
1121(36^110503+1)/37171975Lelio R Paula04/2017
11224*10^171891-63171892Robert Price10/2018
11232^570980-2782289171883Enzo Doria09/2015
1124(2^(12*47563+13)-9)/7171818Kevin Acres11/2013
11252^569563-1854607171456Enzo Doria09/2015
11263*10^171391+59171392Robert Price08/2018
1127(55^98419-1)/54171284Paul Bourdelais12/2017
11282^568642+1876129171179Enzo Doria07/2016
1129(58*10^170842+221)/9170843Robert Price02/2017
11303*10^170800+73170801Robert Price08/2018
113111^164009-270170798Enzo Doria10/2012
11322*10^170767+41170768Robert Price05/2018
11333^357706-112358170670Enzo Doria07/2014
1134TheodorusPrime(170657)170657Eric W. Weisstein08/2013
11352^566871+1876163170646Enzo Doria07/2016
1136(10657#+(404267#)/(10657#))/(1675379)170624Makoto Morimoto10/2017
11372^566496+7170533Donovan Johnson07/2006
1138(7^201653+1)/8170416Paul Bourdelais02/2010
11392^565183-352021170138Enzo Doria07/2015
11402^565143-114457170125Enzo Doria02/2015
11412^564976-49869170075Enzo Doria10/2015
11422^564526-351401169940Enzo Doria07/2015
11434*10^169759+19169760Robert Price10/2018
114421^128327-20^128327169677Jean-Louis Charton11/2014
1145(4*10^169559+83)/3169560Robert Price02/2018
11462^562749+2793047169405Enzo Doria02/2016
1147(154*10^169337-1)/9169339Serge Batalov12/2014
11482^562369-29503169290Enzo Doria08/2015
1149(22*10^169019+383)/9169020Robert Price05/2018
11502^560405-39943168699Enzo Doria09/2015
11512^559686-350471168483Enzo Doria06/2015
11522^559672-1855889168479Enzo Doria09/2015
1153(5*10^168379-473)/9168379Robert Price01/2018
11542^559000-59939168276Enzo Doria11/2015
11552^558640-114149168168Enzo Doria12/2014
11562^558498-1849277168125Enzo Doria08/2015
11572^558476-1850249168119Enzo Doria08/2015
1158(7*10^168067+71)/3168068Robert Price05/2018
11592^558150-1852211168020Enzo Doria08/2015
11602^558125-113661168013Enzo Doria09/2014
1161393^64747-392^64747167980Jean-Louis Charton08/2012
116239^105456+2167788Robert Price04/2015
1163(28^115877-1)/27167691Paul Bourdelais12/2017
116410^167639+121911167640Patrick De Geest07/2018
116510^167639-8001167639Robert Price03/2018
11662^556504-462059167525Enzo Doria07/2015
11675*10^167510+9167511Robert Price08/2015
11682^555343+1874333167175Enzo Doria06/2016
11692^555210-461261167135Enzo Doria07/2015
11702^554372+1880527166883Enzo Doria11/2016
11712^554299+72173166861Enzo Doria04/2016
11722^554037-2797063166782Enzo Doria03/2016
11732^553484-29819166616Enzo Doria08/2015
11742^553383-2784217166585Enzo Doria10/2015
11752^553069+76427166491Enzo Doria05/2016
11762*10^166458+51166459Robert Price05/2018
1177589^60089-588^60089166454Jean-Louis Charton09/2012
117811^159756-2424166369Mike Oakes06/2010
11792^552649-361275166364Enzo Doria05/2014
11802^552628-113669166358Enzo Doria09/2014
118110^166324+550603166325Patrick De Geest07/2018
118210^166324-801166324Robert Price02/2018
11832^552137+1879397166210Enzo Doria09/2016
1184(23^121949-1)/22166061Paul Bourdelais10/2017
11852^551542+19249166031Payam Samidoost08/2002
11862^551535-23821166029Enzo Doria08/2013
11872^551507-23557166021Enzo Doria08/2013
11887*10^165916-3165917Robert Price08/2015
118981^86837-80^86837165728Robert Price01/2015
11902^550270-69551165648Enzo Doria12/2015
11912^550000-23625165567Enzo Doria08/2013
11922^549675-1852057165469Enzo Doria08/2015
1193-tau(103^14938)165374Nik Lygeros / Olivier Rozier10/2013
1194(28*10^165358-1)/9165359Serge Batalov10/2014
11952^549278+1879669165350Enzo Doria09/2016
1196(7*10^165350-439)/9165350Robert Price02/2018
11972^549252-351269165342Enzo Doria06/2015
11982^549049+2797607165281Enzo Doria04/2016
1199(7*10^165239+107)/3165240Robert Price02/2018
1200(44^100511-1)/43165184Paul Bourdelais11/2017
1201(7*10^165134+107)/3165135Robert Price02/2018
12022^547178-1856501164717Enzo Doria10/2015
120311^158160-60164707Enzo Doria07/2012
12042^546398-59201164483Enzo Doria10/2015
12052^546332-114893164463Enzo Doria05/2015
12062^545958+1876189164350Enzo Doria07/2016
12072^545878-49841164326Enzo Doria10/2015
1208(10^164284+77)/3164284Robert Price01/2018
12092^545668-4019164263Yves Minet04/2017
1210(13*53^238539*617^9)/10^247183164151Hans Havermann07/2017
12112^545185+76757164118Enzo Doria05/2016
12122^545076-114329164085Enzo Doria01/2015
1213(2*10^164043-143)/3164043Robert Price03/2018
1214(29^112153+1)/30164011Lelio R Paula03/2017
12152^544757+1874777163989Enzo Doria06/2016
12162^544444-457199163894Enzo Doria01/2015
12172^544264-343529163840Enzo Doria07/2015
12187*10^163780+9163781Robert Price09/2015
12192^543989+2793047163758Enzo Doria02/2016
12202^542870-69551163421Enzo Doria12/2015
12212^542395+72533163278Enzo Doria04/2016
12222^542072-3683163180Yves Minet03/2017
12232^541779-1867357163092Enzo Doria04/2016
12248*10^162924+9162925Robert Price12/2015
12252^540905+81557162829Enzo Doria08/2016
12262^540628-2939162746Yves Minet09/2014
1227919^54919-918^54919162743Jean-Louis Charton01/2013
12283*10^162620-59162621Robert Price09/2018
12293^340694-112960162553Enzo Doria07/2014
12302^539807-114081162499Enzo Doria12/2014
12312^539654-114893162453Enzo Doria05/2015
12322^539617-1851583162441Enzo Doria08/2015
12332^539346+81049162360Enzo Doria07/2016
12342^539220-115499162322Enzo Doria07/2015
12352^539217-113713162321Enzo Doria09/2014
12369^170099-8^170099162316Jean-Louis Charton05/2005
1237(115*10^162153-1)/3162155Serge Batalov12/2014
1238(10^162138+11)/3162138Serge Batalov07/2015
12392^538473-112723162097Enzo Doria06/2014
12402^538157+79337162002Enzo Doria06/2016
12412^538136-114749161996Enzo Doria05/2015
12422^538104+1531161986Lelio R Paula01/2013
1243(9*29^110727-1199)/14161927Curtis Bright05/2015
12442^537815-22737161899Enzo Doria07/2013
12452^537804-39839161896Enzo Doria09/2015
12462^537458-59201161791Enzo Doria10/2015
12472*10^161766+51161767Robert Price05/2018
12482^537209-49849161717Enzo Doria10/2015
12492^536937+1879397161635Enzo Doria09/2016
12502^536569-22881161524Enzo Doria07/2013


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: November, 17 2018 18:49 (Time in France)

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