PRP Records

Probable Primes Top 10000

(214429 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 ?
100110^178695-71178695Serge Batalov12/2014
1002(2^148330+1)^4-2178608Cletus Emmanuel12/2003
10032^593222-14145178578Jorge Menendez10/2017
10042^593178+1867219178565Enzo Doria03/2016
1005(18^142031-1)/17178287Paul Bourdelais03/2010
1006(5*10^178206+91)/3178207Robert Price04/2018
10072^591872-291929178172Enzo Doria07/2015
10082^591682-286871178115Enzo Doria07/2015
10094*10^178091+9178092Robert Price05/2015
1010410747#+478483178007Makoto Morimoto02/2016
10112^590762-396765177838Enzo Doria08/2013
1012(136*10^177754-1)/9177756Serge Batalov12/2014
1013ReverseConsecutiveIntegerPrime(37765)177719Eric W. Weisstein04/2010
10143*10^177373-97177374Robert Price07/2018
10152^589204+1881151177369Enzo Doria11/2016
10162^589132-69479177347Enzo Doria01/2016
10172^588912-113519177281Enzo Doria08/2014
101815^150706+2177245Robert Price06/2015
10192^588194-1861001177065Enzo Doria11/2015
1020(19*10^176932+521)/9176933Robert Price05/2018
1021(8*10^176908+43)/3176909Robert Price06/2018
10222^587560-113699176874Enzo Doria09/2014
10235^252763-12862176674Enzo Doria05/2014
10242^586804+81721176646Enzo Doria08/2016
1025(10^176584+77)/3176584Robert Price01/2018
10262^586570+1874419176576Enzo Doria06/2016
10272^585994-3311176402Yves Minet12/2014
10282^585832-112799176354Enzo Doria07/2014
10292^585336-461039176204Enzo Doria06/2015
10302^585095-1848127176132Enzo Doria08/2015
10312^584950-115451176088Enzo Doria07/2015
10322^584671-3697176004Yves Minet03/2017
10332*10^175860-87175861Robert Price04/2018
103410^175608+2971175609Mike Oakes05/2010
103510^175608-55829175608Patrick De Geest09/2013
10362^583051+1879793175516Enzo Doria09/2016
10372^582860-23829175459Enzo Doria08/2013
10382^582670-23913175402Enzo Doria08/2013
10392^582573-29563175372Enzo Doria08/2015
10402^582435-1862767175331Enzo Doria12/2015
10412^582072-1848599175222Enzo Doria08/2015
1042(220221^32768+1)/2175075Serge Batalov03/2018
10432^581560+1874911175068Enzo Doria06/2016
1044(75^93307-1)/74174955Paul Bourdelais09/2017
10452^580528-114035174757Enzo Doria11/2014
1046(19*10^174754+737)/9174755Robert Price07/2018
1047(35*10^174704-377)/9174705Robert Price07/2018
10483*10^174665-97174666Robert Price07/2018
10492^580046-459161174612Enzo Doria05/2015
10502^579992-39779174595Enzo Doria09/2015
1051(2*10^174301-71)/3174301Robert Price12/2017
1052(2^578696+1)/257174203Lelio R Paula09/2015
10532^578656-1851809174193Enzo Doria08/2015
10542^578583-113917174171Enzo Doria10/2014
10552^578434-83174126Yves Minet07/2017
105615^148048-2174118Robert Price06/2015
10572^578346+2794249174100Enzo Doria03/2016
10582*10^173809-87173810Robert Price04/2018
1059(L!41532)/2173772Serge Batalov07/2017
10602^577146-49877173739Enzo Doria10/2015
10612^576889+49727173661Enzo Doria09/2016
1062(2^576551-1)/4612409/64758208321/242584327930759173528Dario Alpern06/2014
10632^576016-113919173399Enzo Doria11/2014
10642^575911-1849387173367Enzo Doria08/2015
10652^575196-114053173152Enzo Doria11/2014
10662^574591-115387172970Enzo Doria07/2015
10672^574328+81121172890Enzo Doria07/2016
1068(115*10^172862-1)/3172864Serge Batalov12/2014
10694*5^247217-9172798Lelio R Paula10/2015
107069061#+(467617#)/(69061#)172766Makoto Morimoto10/2017
10712^573668-2782319172692Enzo Doria09/2015
10722^573444-1855109172624Enzo Doria09/2015
10733^361608+2172531Robert Price08/2014
1074(54^99563+1)/55172481Paul Bourdelais11/2017
10752^572592-114893172368Enzo Doria05/2015
10765^246497-4^246497172295Jean-Louis Charton11/2008
1077(38^109037-1)/37172254Paul Bourdelais10/2017
1078(36^110503+1)/37171975Lelio R Paula04/2017
10792^570980-2782289171883Enzo Doria09/2015
1080(2^(12*47563+13)-9)/7171818Kevin Acres11/2013
10812^569563-1854607171456Enzo Doria09/2015
1082(55^98419-1)/54171284Paul Bourdelais12/2017
10832^568642+1876129171179Enzo Doria07/2016
1084(58*10^170842+221)/9170843Robert Price02/2017
108511^164009-270170798Enzo Doria10/2012
10862*10^170767+41170768Robert Price05/2018
10873^357706-112358170670Enzo Doria07/2014
1088TheodorusPrime(170657)170657Eric W. Weisstein08/2013
10892^566871+1876163170646Enzo Doria07/2016
1090(10657#+(404267#)/(10657#))/(1675379)170624Makoto Morimoto10/2017
10912^566496+7170533Donovan Johnson07/2006
1092(7^201653+1)/8170416Paul Bourdelais02/2010
10932^565183-352021170138Enzo Doria07/2015
10942^565143-114457170125Enzo Doria02/2015
10952^564976-49869170075Enzo Doria10/2015
10962^564526-351401169940Enzo Doria07/2015
109721^128327-20^128327169677Jean-Louis Charton11/2014
1098(4*10^169559+83)/3169560Robert Price02/2018
10992^562749+2793047169405Enzo Doria02/2016
1100(154*10^169337-1)/9169339Serge Batalov12/2014
11012^562369-29503169290Enzo Doria08/2015
1102(22*10^169019+383)/9169020Robert Price05/2018
11032^560405-39943168699Enzo Doria09/2015
11042^559686-350471168483Enzo Doria06/2015
11052^559672-1855889168479Enzo Doria09/2015
1106(5*10^168379-473)/9168379Robert Price01/2018
11072^559000-59939168276Enzo Doria11/2015
11082^558640-114149168168Enzo Doria12/2014
11092^558498-1849277168125Enzo Doria08/2015
11102^558476-1850249168119Enzo Doria08/2015
1111(7*10^168067+71)/3168068Robert Price05/2018
11122^558150-1852211168020Enzo Doria08/2015
11132^558125-113661168013Enzo Doria09/2014
1114393^64747-392^64747167980Jean-Louis Charton08/2012
111539^105456+2167788Robert Price04/2015
1116(28^115877-1)/27167691Paul Bourdelais12/2017
111710^167639+121911167640Patrick De Geest07/2018
111810^167639-8001167639Robert Price03/2018
11192^556504-462059167525Enzo Doria07/2015
11205*10^167510+9167511Robert Price08/2015
11212^555343+1874333167175Enzo Doria06/2016
11222^555210-461261167135Enzo Doria07/2015
11232^554372+1880527166883Enzo Doria11/2016
11242^554299+72173166861Enzo Doria04/2016
11252^554037-2797063166782Enzo Doria03/2016
11262^553484-29819166616Enzo Doria08/2015
11272^553383-2784217166585Enzo Doria10/2015
11282^553069+76427166491Enzo Doria05/2016
11292*10^166458+51166459Robert Price05/2018
1130589^60089-588^60089166454Jean-Louis Charton09/2012
113111^159756-2424166369Mike Oakes06/2010
11322^552649-361275166364Enzo Doria05/2014
11332^552628-113669166358Enzo Doria09/2014
113410^166324+550603166325Patrick De Geest07/2018
113510^166324-801166324Robert Price02/2018
11362^552137+1879397166210Enzo Doria09/2016
1137(23^121949-1)/22166061Paul Bourdelais10/2017
11382^551542+19249166031Payam Samidoost08/2002
11392^551535-23821166029Enzo Doria08/2013
11402^551507-23557166021Enzo Doria08/2013
11417*10^165916-3165917Robert Price08/2015
114281^86837-80^86837165728Robert Price01/2015
11432^550270-69551165648Enzo Doria12/2015
11442^550000-23625165567Enzo Doria08/2013
11452^549675-1852057165469Enzo Doria08/2015
1146-tau(103^14938)165374Nik Lygeros / Olivier Rozier10/2013
1147(28*10^165358-1)/9165359Serge Batalov10/2014
11482^549278+1879669165350Enzo Doria09/2016
1149(7*10^165350-439)/9165350Robert Price02/2018
11502^549252-351269165342Enzo Doria06/2015
11512^549049+2797607165281Enzo Doria04/2016
1152(7*10^165239+107)/3165240Robert Price02/2018
1153(44^100511-1)/43165184Paul Bourdelais11/2017
1154(7*10^165134+107)/3165135Robert Price02/2018
11552^547178-1856501164717Enzo Doria10/2015
115611^158160-60164707Enzo Doria07/2012
11572^546398-59201164483Enzo Doria10/2015
11582^546332-114893164463Enzo Doria05/2015
11592^545958+1876189164350Enzo Doria07/2016
11602^545878-49841164326Enzo Doria10/2015
1161(10^164284+77)/3164284Robert Price01/2018
11622^545668-4019164263Yves Minet04/2017
1163(13*53^238539*617^9)/10^247183164151Hans Havermann07/2017
11642^545185+76757164118Enzo Doria05/2016
11652^545076-114329164085Enzo Doria01/2015
1166(2*10^164043-143)/3164043Robert Price03/2018
1167(29^112153+1)/30164011Lelio R Paula03/2017
11682^544757+1874777163989Enzo Doria06/2016
11692^544444-457199163894Enzo Doria01/2015
11702^544264-343529163840Enzo Doria07/2015
11717*10^163780+9163781Robert Price09/2015
11722^543989+2793047163758Enzo Doria02/2016
11732^542870-69551163421Enzo Doria12/2015
11742^542395+72533163278Enzo Doria04/2016
11752^542072-3683163180Yves Minet03/2017
11762^541779-1867357163092Enzo Doria04/2016
11778*10^162924+9162925Robert Price12/2015
11782^540905+81557162829Enzo Doria08/2016
11792^540628-2939162746Yves Minet09/2014
1180919^54919-918^54919162743Jean-Louis Charton01/2013
11813^340694-112960162553Enzo Doria07/2014
11822^539807-114081162499Enzo Doria12/2014
11832^539654-114893162453Enzo Doria05/2015
11842^539617-1851583162441Enzo Doria08/2015
11852^539346+81049162360Enzo Doria07/2016
11862^539220-115499162322Enzo Doria07/2015
11872^539217-113713162321Enzo Doria09/2014
11889^170099-8^170099162316Jean-Louis Charton05/2005
1189(115*10^162153-1)/3162155Serge Batalov12/2014
1190(10^162138+11)/3162138Serge Batalov07/2015
11912^538473-112723162097Enzo Doria06/2014
11922^538157+79337162002Enzo Doria06/2016
11932^538136-114749161996Enzo Doria05/2015
11942^538104+1531161986Lelio R Paula01/2013
1195(9*29^110727-1199)/14161927Curtis Bright05/2015
11962^537815-22737161899Enzo Doria07/2013
11972^537804-39839161896Enzo Doria09/2015
11982^537458-59201161791Enzo Doria10/2015
11992*10^161766+51161767Robert Price05/2018
12002^537209-49849161717Enzo Doria10/2015
12012^536937+1879397161635Enzo Doria09/2016
12022^536569-22881161524Enzo Doria07/2013
120310^161253+573493161254Patrick De Geest07/2018
120410^161253-8001161253Robert Price03/2018
12057*10^161192-9161193Robert Price10/2015
12062^535269-113803161133Enzo Doria09/2014
12072^535205-23295161113Enzo Doria08/2013
1208(89^82609+1)/90161036Paul Bourdelais10/2017
12092^534359-23229160859Enzo Doria08/2013
121067^88037-66^88037160763Robert Price10/2013
12112^533948-1852559160735Enzo Doria08/2015
12122^533665-23335160650Enzo Doria08/2013
12133^336353-2^336353160482Mike Oakes10/2007
12142^532253+1868417160225Enzo Doria04/2016
12152^532108-291989160181Enzo Doria07/2015
12162^531110-1853771159881Enzo Doria09/2015
12172^530992-1845299159845Enzo Doria07/2015
1218(136*10^159736-1)/9159738Serge Batalov12/2014
12192^530417-113833159672Enzo Doria09/2014
12202^530406-69701159669Enzo Doria02/2016
12217^188858-188858^7159604Norbert Schneider05/2018
1222(24^115597-1)/23159547Paul Bourdelais09/2017
1223(17*10^159438-377)/9159439Robert Price03/2018
12242^528944-461315159229Enzo Doria07/2015
12252^528620-113879159131Enzo Doria10/2014
12262^528000-23307158944Enzo Doria08/2013
12272^527817+1876817158889Enzo Doria07/2016
12282^527774-49451158876Enzo Doria10/2015
12292^527745-291553158868Enzo Doria07/2015
12302^527644-1856999158837Enzo Doria10/2015
1231(37200^37199-37198^37199)/(2^37199)158822Henri Lifchitz06/2013
12322^527573-1863253158816Enzo Doria12/2015
12332^527553-23401158810Enzo Doria08/2013
123411^152420-210158730Enzo Doria09/2012
1235(13*10^158694+401)/9158695Robert Price01/2018
12362^527052-69059158659Enzo Doria11/2015
12372^526849-113233158598Enzo Doria07/2014
1238(2^526763-lucasV(1,2,526763)+1)/2158572Mike Oakes11/2016
12392^526658-3551158540Yves Minet03/2017
12402^526375-23115158455Enzo Doria08/2013
12412^526028-112793158351Enzo Doria07/2014
12422^525690-9221158249Lelio R Paula01/2013
12432*10^158242-7158243Robert Price10/2015
12442^525667-525667^2158242Henri Lifchitz12/2017
12452^525186-1857431158097Enzo Doria10/2015
12462^524515-23245157895Enzo Doria08/2013
12472^524499-109087157890Enzo Doria04/2014
12482^18067*(2^506221+1)-1157827Makoto Morimoto05/2014
12492^524288+189093157827Makoto Morimoto01/2016
1250(2^(2^19)-9333)/(19*23*463*1213*31973)157814Makoto Morimoto09/2017


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: July, 21 2018 22:46 (Time in France)

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