PRP Records

Probable Primes Top 10000

(205869 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 ?
10012^585994-3311176402Yves Minet12/2014
10022^585832-112799176354Enzo Doria07/2014
10032^585336-461039176204Enzo Doria06/2015
10042^585095-1848127176132Enzo Doria08/2015
10052^584950-115451176088Enzo Doria07/2015
10062^584671-3697176004Yves Minet03/2017
10072*10^175860-87175861Robert Price04/2018
100810^175608+2971175609Mike Oakes05/2010
100910^175608-55829175608Patrick De Geest09/2013
10102^583051+1879793175516Enzo Doria09/2016
10112^582860-23829175459Enzo Doria08/2013
10122^582670-23913175402Enzo Doria08/2013
10132^582573-29563175372Enzo Doria08/2015
10142^582435-1862767175331Enzo Doria12/2015
10152^582072-1848599175222Enzo Doria08/2015
1016(220221^32768+1)/2175075Serge Batalov03/2018
10172^581560+1874911175068Enzo Doria06/2016
1018(75^93307-1)/74174955Paul Bourdelais09/2017
10192^580528-114035174757Enzo Doria11/2014
10202^580046-459161174612Enzo Doria05/2015
10212^579992-39779174595Enzo Doria09/2015
1022(2*10^174301-71)/3174301Robert Price12/2017
1023(2^578696+1)/257174203Lelio R Paula09/2015
10242^578656-1851809174193Enzo Doria08/2015
10252^578583-113917174171Enzo Doria10/2014
10262^578434-83174126Yves Minet07/2017
102715^148048-2174118Robert Price06/2015
10282^578346+2794249174100Enzo Doria03/2016
10292*10^173809-87173810Robert Price04/2018
1030(L!41532)/2173772Serge Batalov07/2017
10312^577146-49877173739Enzo Doria10/2015
10322^576889+49727173661Enzo Doria09/2016
1033(2^576551-1)/4612409/64758208321/242584327930759173528Dario Alpern06/2014
10342^576016-113919173399Enzo Doria11/2014
10352^575911-1849387173367Enzo Doria08/2015
10362^575196-114053173152Enzo Doria11/2014
10372^574591-115387172970Enzo Doria07/2015
10382^574328+81121172890Enzo Doria07/2016
1039(115*10^172862-1)/3172864Serge Batalov12/2014
10404*5^247217-9172798Lelio R Paula10/2015
104169061#+(467617#)/(69061#)172766Makoto Morimoto10/2017
10422^573668-2782319172692Enzo Doria09/2015
10432^573444-1855109172624Enzo Doria09/2015
10443^361608+2172531Robert Price08/2014
1045(54^99563+1)/55172481Paul Bourdelais11/2017
10462^572592-114893172368Enzo Doria05/2015
10475^246497-4^246497172295Jean-Louis Charton11/2008
1048(38^109037-1)/37172254Paul Bourdelais10/2017
1049(36^110503+1)/37171975Lelio R Paula04/2017
10502^570980-2782289171883Enzo Doria09/2015
1051(2^(12*47563+13)-9)/7171818Kevin Acres11/2013
10522^569563-1854607171456Enzo Doria09/2015
1053(55^98419-1)/54171284Paul Bourdelais12/2017
10542^568642+1876129171179Enzo Doria07/2016
1055(58*10^170842+221)/9170843Robert Price02/2017
105611^164009-270170798Enzo Doria10/2012
10573^357706-112358170670Enzo Doria07/2014
1058TheodorusPrime(170657)170657Eric W. Weisstein08/2013
10592^566871+1876163170646Enzo Doria07/2016
1060(10657#+(404267#)/(10657#))/(1675379)170624Makoto Morimoto10/2017
10612^566496+7170533Donovan Johnson07/2006
1062(7^201653+1)/8170416Paul Bourdelais02/2010
10632^565183-352021170138Enzo Doria07/2015
10642^565143-114457170125Enzo Doria02/2015
10652^564976-49869170075Enzo Doria10/2015
10662^564526-351401169940Enzo Doria07/2015
106721^128327-20^128327169677Jean-Louis Charton11/2014
1068(4*10^169559+83)/3169560Robert Price02/2018
10692^562749+2793047169405Enzo Doria02/2016
1070(154*10^169337-1)/9169339Serge Batalov12/2014
10712^562369-29503169290Enzo Doria08/2015
10722^560405-39943168699Enzo Doria09/2015
10732^559686-350471168483Enzo Doria06/2015
10742^559672-1855889168479Enzo Doria09/2015
1075(5*10^168379-473)/9168379Robert Price01/2018
10762^559000-59939168276Enzo Doria11/2015
10772^558640-114149168168Enzo Doria12/2014
10782^558498-1849277168125Enzo Doria08/2015
10792^558476-1850249168119Enzo Doria08/2015
10802^558150-1852211168020Enzo Doria08/2015
10812^558125-113661168013Enzo Doria09/2014
1082393^64747-392^64747167980Jean-Louis Charton08/2012
108339^105456+2167788Robert Price04/2015
1084(28^115877-1)/27167691Paul Bourdelais12/2017
108510^167639-8001167639Robert Price03/2018
10862^556504-462059167525Enzo Doria07/2015
10875*10^167510+9167511Robert Price08/2015
10882^555343+1874333167175Enzo Doria06/2016
10892^555210-461261167135Enzo Doria07/2015
10902^554372+1880527166883Enzo Doria11/2016
10912^554299+72173166861Enzo Doria04/2016
10922^554037-2797063166782Enzo Doria03/2016
10932^553484-29819166616Enzo Doria08/2015
10942^553383-2784217166585Enzo Doria10/2015
10952^553069+76427166491Enzo Doria05/2016
1096589^60089-588^60089166454Jean-Louis Charton09/2012
109711^159756-2424166369Mike Oakes06/2010
10982^552649-361275166364Enzo Doria05/2014
10992^552628-113669166358Enzo Doria09/2014
110010^166324-801166324Robert Price02/2018
11012^552137+1879397166210Enzo Doria09/2016
1102(23^121949-1)/22166061Paul Bourdelais10/2017
11032^551542+19249166031Payam Samidoost08/2002
11042^551535-23821166029Enzo Doria08/2013
11052^551507-23557166021Enzo Doria08/2013
11067*10^165916-3165917Robert Price08/2015
110781^86837-80^86837165728Robert Price01/2015
11082^550270-69551165648Enzo Doria12/2015
11092^550000-23625165567Enzo Doria08/2013
11102^549675-1852057165469Enzo Doria08/2015
1111-tau(103^14938)165374Nik Lygeros / Olivier Rozier10/2013
1112(28*10^165358-1)/9165359Serge Batalov10/2014
11142^549278+1879669165350Enzo Doria09/2016
1113(7*10^165350-439)/9165350Robert Price02/2018
11152^549252-351269165342Enzo Doria06/2015
11162^549049+2797607165281Enzo Doria04/2016
1117(7*10^165239+107)/3165240Robert Price02/2018
1118(44^100511-1)/43165184Paul Bourdelais11/2017
1119(7*10^165134+107)/3165135Robert Price02/2018
11202^547178-1856501164717Enzo Doria10/2015
112111^158160-60164707Enzo Doria07/2012
11222^546398-59201164483Enzo Doria10/2015
11232^546332-114893164463Enzo Doria05/2015
11242^545958+1876189164350Enzo Doria07/2016
11252^545878-49841164326Enzo Doria10/2015
1126(10^164284+77)/3164284Robert Price01/2018
11272^545668-4019164263Yves Minet04/2017
1128(13*53^238539*617^9)/10^247183164151Hans Havermann07/2017
11292^545185+76757164118Enzo Doria05/2016
11302^545076-114329164085Enzo Doria01/2015
1131(2*10^164043-143)/3164043Robert Price03/2018
1132(29^112153+1)/30164011Lelio R Paula03/2017
11332^544757+1874777163989Enzo Doria06/2016
11342^544444-457199163894Enzo Doria01/2015
11352^544264-343529163840Enzo Doria07/2015
11367*10^163780+9163781Robert Price09/2015
11372^543989+2793047163758Enzo Doria02/2016
11382^542870-69551163421Enzo Doria12/2015
11392^542395+72533163278Enzo Doria04/2016
11402^542072-3683163180Yves Minet03/2017
11412^541779-1867357163092Enzo Doria04/2016
11428*10^162924+9162925Robert Price12/2015
11432^540905+81557162829Enzo Doria08/2016
11442^540628-2939162746Yves Minet09/2014
1145919^54919-918^54919162743Jean-Louis Charton01/2013
11463^340694-112960162553Enzo Doria07/2014
11472^539807-114081162499Enzo Doria12/2014
11482^539654-114893162453Enzo Doria05/2015
11492^539617-1851583162441Enzo Doria08/2015
11502^539346+81049162360Enzo Doria07/2016
11512^539220-115499162322Enzo Doria07/2015
11522^539217-113713162321Enzo Doria09/2014
11539^170099-8^170099162316Jean-Louis Charton05/2005
1154(115*10^162153-1)/3162155Serge Batalov12/2014
1155(10^162138+11)/3162138Serge Batalov07/2015
11562^538473-112723162097Enzo Doria06/2014
11572^538157+79337162002Enzo Doria06/2016
11582^538136-114749161996Enzo Doria05/2015
11592^538104+1531161986Lelio R Paula01/2013
1160(9*29^110727-1199)/14161927Curtis Bright05/2015
11612^537815-22737161899Enzo Doria07/2013
11622^537804-39839161896Enzo Doria09/2015
11632^537458-59201161791Enzo Doria10/2015
11642^537209-49849161717Enzo Doria10/2015
11652^536937+1879397161635Enzo Doria09/2016
11662^536569-22881161524Enzo Doria07/2013
116710^161253-8001161253Robert Price03/2018
11687*10^161192-9161193Robert Price10/2015
11692^535269-113803161133Enzo Doria09/2014
11702^535205-23295161113Enzo Doria08/2013
1171(89^82609+1)/90161036Paul Bourdelais10/2017
11722^534359-23229160859Enzo Doria08/2013
117367^88037-66^88037160763Robert Price10/2013
11742^533948-1852559160735Enzo Doria08/2015
11752^533665-23335160650Enzo Doria08/2013
11763^336353-2^336353160482Mike Oakes10/2007
11772^532253+1868417160225Enzo Doria04/2016
11782^532108-291989160181Enzo Doria07/2015
11792^531110-1853771159881Enzo Doria09/2015
11802^530992-1845299159845Enzo Doria07/2015
1181(136*10^159736-1)/9159738Serge Batalov12/2014
11822^530417-113833159672Enzo Doria09/2014
11832^530406-69701159669Enzo Doria02/2016
1184(24^115597-1)/23159547Paul Bourdelais09/2017
1185(17*10^159438-377)/9159439Robert Price03/2018
11862^528944-461315159229Enzo Doria07/2015
11872^528620-113879159131Enzo Doria10/2014
11882^528000-23307158944Enzo Doria08/2013
11892^527817+1876817158889Enzo Doria07/2016
11902^527774-49451158876Enzo Doria10/2015
11912^527745-291553158868Enzo Doria07/2015
11922^527644-1856999158837Enzo Doria10/2015
1193(37200^37199-37198^37199)/(2^37199)158822Henri Lifchitz06/2013
11942^527573-1863253158816Enzo Doria12/2015
11952^527553-23401158810Enzo Doria08/2013
119611^152420-210158730Enzo Doria09/2012
1197(13*10^158694+401)/9158695Robert Price01/2018
11982^527052-69059158659Enzo Doria11/2015
11992^526849-113233158598Enzo Doria07/2014
1200(2^526763-lucasV(1,2,526763)+1)/2158572Mike Oakes11/2016
12012^526658-3551158540Yves Minet03/2017
12022^526375-23115158455Enzo Doria08/2013
12032^526028-112793158351Enzo Doria07/2014
12042^525690-9221158249Lelio R Paula01/2013
12052*10^158242-7158243Robert Price10/2015
12062^525667-525667^2158242Henri Lifchitz12/2017
12072^525186-1857431158097Enzo Doria10/2015
12082^524515-23245157895Enzo Doria08/2013
12092^524499-109087157890Enzo Doria04/2014
12102^18067*(2^506221+1)-1157827Makoto Morimoto05/2014
12112^524288+189093157827Makoto Morimoto01/2016
1212(2^(2^19)-9333)/(19*23*463*1213*31973)157814Makoto Morimoto09/2017
1213(10^157792+359)/9157792Serge Batalov12/2014
12142^523924+1876591157717Enzo Doria07/2016
1215(46^94841+1)/47157696Robert Price01/2014
12162^523774+77839157672Enzo Doria05/2016
12172^523587+2799143157616Enzo Doria04/2016
12182^523371+1872113157551Enzo Doria05/2016
12192^522535-351457157299Enzo Doria07/2015
12202^522226+2799079157206Enzo Doria04/2016
12212^522134-1849451157178Enzo Doria08/2015
12222^521401-29593156958Enzo Doria08/2015
12232^521348-23397156942Enzo Doria08/2013
1224(98^78797+1)/99156901Paul Bourdelais12/2017
122565^86522+64156857Lelio R Paula04/2016
12268^173687-7^173687156855Jean-Louis Charton09/2004
12272^520977-1858183156830Enzo Doria10/2015
12282^520314-1849481156631Enzo Doria08/2015
1229(2^(6*86654+1)-5)/3156513Kevin Acres12/2013
123053^90679-52^90679156356Robert Price01/2013
12312^519106-59141156267Enzo Doria10/2015
12322^519053+6077156251Enzo Doria02/2016
12332^518968-1860989156225Enzo Doria11/2015
12342^518931-2782297156214Enzo Doria09/2015
12352^518608-2939156117Yves Minet09/2014
123610*27^109005+697156027Curtis Bright05/2015
12372^517967-113485155924Enzo Doria08/2014
12382^517698+4429155843Lelio R Paula01/2013
12392^517543-113257155796Enzo Doria07/2014
124031^104309-30^104309155563Henri Lifchitz08/2013
12412^516742-39851155555Enzo Doria09/2015
12422^516440+1878421155464Enzo Doria08/2016
12432^515863-1867237155291Enzo Doria03/2016
12442^515786-461861155268Enzo Doria07/2015
12452^515644-113247155225Enzo Doria07/2014
1246(7*10^155203+107)/3155204Robert Price02/2018
12472^515227-114997155099Enzo Doria06/2015
1248EPrime(155025)155025Eric W. Weisstein10/2010
1249(14*10^155024-221)/9155025Robert Price04/2018
1250(4*10^155022+173)/3155023Robert Price02/2018


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: April, 22 2018 09:48 (Time in France)

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