PRP Records

Probable Primes Top 10000

(271023 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 ?
10012^641514+1876549193115Enzo Doria07/2016
10022^640888-2785619192927Enzo Doria10/2015
10032^640874-2783741192923Enzo Doria09/2015
100434*10^192868-9192870Robert Price06/2020
1005(46*10^192841+683)/9192842Robert Price03/2019
10062^640181+467192714Lelio R Paula08/2013
10072^639536-1850249192520Enzo Doria08/2015
100840714<>40712<>...<>1086421357911<>...<>40711<>40713192464Hans Havermann12/2019
10095*10^192422-43192423Robert Price01/2019
10102^639110-2792441192392Enzo Doria02/2016
10112^638955-29827192345Enzo Doria08/2015
10122^638713-2784223192272Enzo Doria10/2015
10132^638490-113507192205Enzo Doria08/2014
10142^638189-39943192115Enzo Doria09/2015
10152^638110+1877119192091Enzo Doria07/2016
10162^638066-2785211192078Enzo Doria10/2015
1017(112*10^191900+17)/3191902Robert Price03/2020
10182^637475-115309191900Enzo Doria07/2015
10192^636661+1876577191655Enzo Doria07/2016
1020(34^125101-1)/33191589Paul Bourdelais11/2017
10212^636177-1855123191509Enzo Doria09/2015
10222^636158-113627191503Enzo Doria08/2014
1023(37*25^136966+63)/4191472Curtis Bright05/2015
10242^636035+79823191466Enzo Doria06/2016
10252^636011-1860847191459Enzo Doria11/2015
10262^635926-1860611191433Enzo Doria11/2015
10273*10^191152-7191153Robert Price08/2015
10282^634883-1865677191119Enzo Doria02/2016
10292^634801+1871957191095Enzo Doria05/2016
1030(35*10^191073+1)/9191074Serge Batalov07/2010
10319*10^191018-41191019Robert Price08/2020
10322^634470-59861190995Enzo Doria11/2015
10332^634368-29519190964Enzo Doria08/2015
10342^634188-350609190910Enzo Doria06/2015
1035(26*10^190789-131)/3190790Robert Price10/2019
1036(13*10^190732-61)/3190733Robert Price11/2018
1037(7*10^190683+143)/3190684Robert Price03/2018
10382^633088-113879190579Enzo Doria10/2014
10392^633064+1874911190572Enzo Doria06/2016
1040(43*10^190547+83)/9190548Robert Price11/2018
1041(299*10^190533+1)/3190535Robert Price04/2020
10422^632795-351205190491Enzo Doria06/2015
1043(16*10^190420-19)/3190421Robert Price02/2019
1044(43*10^190351+101)/9190352Robert Price11/2018
10452^632156+78391190298Enzo Doria06/2016
104697*10^190295-3190297Robert Price05/2020
10472^632082-1851971190276Enzo Doria08/2015
10482^632020+1880311190257Enzo Doria09/2016
10492^631637-462373190142Enzo Doria08/2015
10502*10^190126-21190127Robert Price09/2020
1051(28*10^190105+191)/3190106Robert Price02/2020
10522^631122-39251189987Enzo Doria08/2015
1053(26*10^189928-89)/9189929Robert Price06/2018
10542^630839-97189902Yves Minet07/2017
105599*10^189876-7189878Robert Price07/2020
10562^630359+1788953189757Enzo Doria05/2016
10572^630228+1871971189718Enzo Doria05/2016
10582^630108+781189682Lelio R Paula08/2013
10592^629870-1867811189610Enzo Doria04/2016
1060(359^74189-1)/358189558Alexander Zhirkov11/2017
10612^629326+2792929189447Enzo Doria02/2016
1062(10^189385-61)/3189385Serge Batalov12/2014
10632^629036+1874011189359Enzo Doria06/2016
10642^628930+80779189327Enzo Doria07/2016
10652^628582+1179439189223Enzo Doria06/2016
1066(44*10^188999-503)/9189000Robert Price12/2018
1067(16*10^188823+167)/3188824Robert Price06/2019
10682^627037-2785843188757Enzo Doria10/2015
1069(16*10^188457+161)/3188458Robert Price02/2019
1070L(901657)188436Renaud Lifchitz11/2008
10712^625651+74213188340Enzo Doria04/2016
10722^625584-460919188320Enzo Doria06/2015
1073(10^188164+359)/9188164Serge Batalov12/2014
10742^624481-113611187988Enzo Doria08/2014
1075(2^624389+125582)/2187960Stefano Morozzi09/2019
1076(2^624389+166982)/2187960Stefano Morozzi09/2019
1077(2^624389+179886)/2187960Stefano Morozzi09/2019
1078(2^624387+64466)/2187959Stefano Morozzi09/2019
1079(2^624378+112990)/2187957Stefano Morozzi09/2019
1080(2^624380+161986)/2187957Stefano Morozzi09/2019
1082(2^624376+55762)/2187956Stefano Morozzi09/2019
1081(2^624377+169506)/2187956Stefano Morozzi09/2019
1083(2^624355+80178)/2187950Stefano Morozzi09/2019
1084(2^624351+61350)/2187949Stefano Morozzi09/2019
1085(2^624341+63462)/2187946Stefano Morozzi09/2019
1086(2^624344+135990)/2187946Stefano Morozzi09/2019
1087(2^624344+183898)/2187946Stefano Morozzi09/2019
1089(2^624340+126982)/2187945Stefano Morozzi09/2019
1088(2^624338+196110)/2187945Stefano Morozzi09/2019
1090(2^624337+105162)/2187944Stefano Morozzi09/2019
1091(2^624333+44594)/2187943Stefano Morozzi09/2019
1092(2^624321+88742)/2187940Stefano Morozzi09/2019
1093(2^624324+135178)/2187940Stefano Morozzi09/2019
1094(2^624317+14186)/2187938Stefano Morozzi09/2019
1095(2^624313+24450)/2187937Stefano Morozzi09/2019
1096(2^624309+184590)/2187936Stefano Morozzi09/2019
1098(2^624307+152658)/2187935Stefano Morozzi09/2019
1097(2^624307+185978)/2187935Stefano Morozzi09/2019
1099(2^624303+40814)/2187934Stefano Morozzi09/2019
1100(2^624304+99238)/2187934Stefano Morozzi09/2019
11012^624077-112723187866Enzo Doria07/2014
11022^624008+1874941187846Enzo Doria06/2016
11032^623870+78679187804Enzo Doria05/2016
11042^623714-114035187757Enzo Doria11/2014
11052^623651-1834251187738Enzo Doria07/2015
1106(7*10^187645+53)/3187646Robert Price05/2018
11072^623146+1879609187586Enzo Doria09/2016
1108(5*10^187471+91)/3187472Robert Price04/2018
11092^622500+81931187392Enzo Doria08/2016
11102^622300-1861739187331Enzo Doria12/2015
1111(38*10^187281+349)/9187282Robert Price10/2018
11122^622052+76771187257Enzo Doria05/2016
11132^622005-24091187243Enzo Doria08/2013
11147*10^187205-57187206Robert Price06/2020
11152^621879-351787187205Enzo Doria07/2015
1116(5*10^187168-53)/3187169Robert Price09/2020
1117(23*10^187164-143)/3187165Robert Price12/2019
11182^621700+79411187151Enzo Doria06/2016
1119(7*10^187101+131)/3187102Robert Price06/2020
1120(2*10^187062-71)/3187062Robert Price12/2017
11212^620929-113203186919Enzo Doria07/2014
112210^186842+168223186843Patrick De Geest07/2018
112310^186842-8001186842Robert Price03/2018
11242^620347-1777186744Lelio R Paula07/2013
112511^179143-4170186559Enzo Doria12/2012
1126(5^266863+1)/6186529Paul Bourdelais07/2010
11272^619297-2792353186427Enzo Doria02/2016
1128(49*10^186409+383)/9186410Robert Price04/2019
11292^618940-460139186320Enzo Doria06/2015
11302^618046+74179186051Enzo Doria04/2016
11313*10^186019+11186020Robert Price07/2018
1132(16*10^185978-19)/3185979Robert Price02/2019
11332*10^185930-3185931Robert Price07/2015
1134(82^97151+1)/83185928Paul Bourdelais10/2017
11354*10^185905+91185906Robert Price08/2018
1136(19*10^185873+131)/3185874Robert Price06/2020
1137(37*10^185811+377)/9185812Robert Price11/2018
11382^617250+9385185811Lelio R Paula07/2013
113939^116749+2185756Robert Price04/2015
11402^616924-39719185713Enzo Doria09/2015
11412^616712+1867621185649Enzo Doria04/2016
1142(3^388897+2^388897)/5185551Jean-Louis Charton09/2011
11438*10^185529-67185530Robert Price08/2019
11444*10^185355+9185356Robert Price05/2015
11452^615622+76639185321Enzo Doria05/2016
11462^615591+1879223185312Enzo Doria08/2016
11472^615503+1876643185285Enzo Doria07/2016
11485^265007-4^265007185232Jean-Louis Charton02/2013
1149(4*10^185221-91)/3185222Robert Price03/2018
1150(7*10^185221+131)/3185222Robert Price06/2020
115156*10^185139-3185141Robert Price03/2020
11522^614783-2790097185069Enzo Doria12/2015
11532^614745-29323185057Enzo Doria07/2015
1154(((((((((((2^3+3)^3+30)^3+6)^3+80)^3+12)^3+450)^3+894)^3+3636)^3+70756)^3+97220)^3+66768)^3+300840185052Serge Batalov07/2013
1155(49*10^184993-67)/9184994Robert Price03/2019
1156(14*10^184950+211)/9184951Robert Price04/2018
11572^614315+81353184928Enzo Doria08/2016
11582^614294-1849961184921Enzo Doria08/2015
11592^614266+1877809184913Enzo Doria08/2016
11602^613715-1860727184747Enzo Doria11/2015
11612*10^184723+41184724Robert Price05/2018
11622^613487-349987184678Enzo Doria07/2015
1163(95^93377+1)/96184672Paul Bourdelais11/2017
116414^161089-161089^14184629Serge Batalov05/2016
11652^613033-114621184542Enzo Doria05/2015
1166(9^193247+1)/10184404Paul Bourdelais02/2010
11672^612341-1604809184334Enzo Doria05/2015
1168(2^611999-1)/18464214225958267477777390354183184199Dario Alpern06/2017
1169(14*10^184150+37)/3184151Robert Price12/2018
11702^611731-4837184150Yves Minet08/2018
11713*10^184124-7184125Robert Price08/2015
11722^611628-24537184119Enzo Doria08/2013
11733*10^184110+13184111Robert Price07/2018
11742^611460+71881184068Enzo Doria04/2016
11754*10^184004-63184005Robert Price10/2018
11762^610982-1867301183924Enzo Doria03/2016
11773*10^183872-49183873Robert Price07/2018
11782^610597+1178897183809Enzo Doria05/2016
1179(17*10^183764+31)/3183765Robert Price01/2019
1180(28*10^183760-1)/9183761Serge Batalov10/2014
11812^610401+1277183750Lelio R Paula07/2013
11822^610356-1849019183736Enzo Doria08/2015
1183(63^102103+1)/64183717Paul Bourdelais10/2017
118423*10^183710-7183712Robert Price02/2020
1185(2^610289+1)/(3*528882550291)183704Gord Palameta08/2018
1186(4*10^183659+149)/9183659Robert Price04/2018
11872^609846-1834251183582Enzo Doria07/2015
118810^183546-800000001183546Robert Price09/2020
1189(23*10^183477-71)/3183478Robert Price07/2020
119011^176176-240183469Enzo Doria11/2012
1191(41^113749+1)/42183451Paul Bourdelais11/2017
11926*10^183429+53183430Robert Price05/2020
1193(28*10^183403+191)/3183404Robert Price02/2020
1194(101^91463+1)/102183320Paul Bourdelais11/2017
11952^608965-113989183317Enzo Doria10/2014
1196A005165(43592)183312Serge Batalov07/2017
1197(61*10^183294+119)/9183295Robert Price05/2019
11982^608814-461261183272Enzo Doria06/2015
1199(163*10^183227-1)/9183229Serge Batalov12/2014
12002^608541-608541^2183190Henri Lifchitz02/2018
12012^608293+143807183115Enzo Doria10/2016
12022^608164-462419183076Enzo Doria08/2015
12032^607950-1862303183012Enzo Doria12/2015
1204(46*10^182896+683)/9182897Robert Price03/2019
1205(2*10^182787+73)/3182787Robert Price09/2020
12062^607101+1871987182756Enzo Doria05/2016
12072^606869-69175182686Enzo Doria11/2015
1208(23*10^182666-71)/3182667Robert Price07/2020
12093*10^182614-11182615Robert Price07/2018
12102^606560-357182593Enzo Doria05/2014
121166*10^182420+7182422Robert Price07/2020
12122^605687+1866983182330Enzo Doria03/2016
12132^605655-114445182321Enzo Doria02/2015
121494*10^182291-3182293Robert Price05/2020
1215(20^140053+1)/21182212Paul Bourdelais04/2010
1216(14*10^182177-221)/9182178Robert Price04/2018
12172^605174-112751182176Enzo Doria06/2014
12182^604761+1874507182052Enzo Doria06/2016
12192^604705+1871957182035Enzo Doria05/2016
1220(14*10^182000+229)/9182001Robert Price03/2018
1221(10^181996+41)/3181996Robert Price12/2017
1222(5*10^181950-101)/3181951Robert Price04/2018
12232^603915+75233181797Enzo Doria04/2016
12247*10^181594-57181595Robert Price06/2020
1225(194*10^181369-11)/3181371Robert Price09/2020
122611^174145-360181354Enzo Doria10/2012
12272^602351-396765181326Enzo Doria08/2013
12286*10^181306+17181307Robert Price04/2019
12292^601957-113833181208Enzo Doria09/2014
123066^99581-65^99581181193Robert Price09/2013
123110^181182+383973181183Patrick De Geest04/2016
123210^181182-21181182Serge Batalov12/2014
1233(5*10^181127-29)/3181128Robert Price03/2018
12342^601521-29143181076Enzo Doria07/2015
12352^601442-2797811181053Enzo Doria04/2016
123644*10^181029+3181031Robert Price04/2020
12375*10^180992-9180993Robert Price05/2015
123810^180979+79477180980Patrick De Geest04/2016
123910^180979+107739180980Patrick De Geest04/2016
124010^180979-11180979Serge Batalov12/2014
12412^601023-113851180926Enzo Doria10/2014
1242(23*10^180862-143)/3180863Robert Price12/2019
12433*10^180852+29180853Robert Price05/2018
1244(79*10^180710-1)/3180712Robert Price02/2020
12452^600300-1852559180709Enzo Doria08/2015
1246(10^180689+71)/9180689Serge Batalov07/2015
12472^600209+76487180681Enzo Doria05/2016
12482^599702-369885180529Enzo Doria11/2013
1249Tau(643^11688)180524Nik Lygeros / Olivier Rozier05/2015
1250(2951*29^123418-3)/4180490Curtis Bright05/2015


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: September, 30 2020 00:02 (Time in France)

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