PRP Records

Probable Primes Top 10000

(259919 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 ?
1001(10^188164+359)/9188164Serge Batalov12/2014
10022^624481-113611187988Enzo Doria08/2014
1005(2^624389+125582)/2187960Stefano Morozzi09/2019
1003(2^624389+166982)/2187960Stefano Morozzi09/2019
1004(2^624389+179886)/2187960Stefano Morozzi09/2019
1006(2^624387+64466)/2187959Stefano Morozzi09/2019
1007(2^624378+112990)/2187957Stefano Morozzi09/2019
1008(2^624380+161986)/2187957Stefano Morozzi09/2019
1010(2^624376+55762)/2187956Stefano Morozzi09/2019
1009(2^624377+169506)/2187956Stefano Morozzi09/2019
1011(2^624355+80178)/2187950Stefano Morozzi09/2019
1012(2^624351+61350)/2187949Stefano Morozzi09/2019
1013(2^624341+63462)/2187946Stefano Morozzi09/2019
1014(2^624344+135990)/2187946Stefano Morozzi09/2019
1015(2^624344+183898)/2187946Stefano Morozzi09/2019
1017(2^624340+126982)/2187945Stefano Morozzi09/2019
1016(2^624338+196110)/2187945Stefano Morozzi09/2019
1018(2^624337+105162)/2187944Stefano Morozzi09/2019
1019(2^624333+44594)/2187943Stefano Morozzi09/2019
1020(2^624321+88742)/2187940Stefano Morozzi09/2019
1021(2^624324+135178)/2187940Stefano Morozzi09/2019
1022(2^624317+14186)/2187938Stefano Morozzi09/2019
1023(2^624313+24450)/2187937Stefano Morozzi09/2019
1024(2^624309+184590)/2187936Stefano Morozzi09/2019
1026(2^624307+152658)/2187935Stefano Morozzi09/2019
1025(2^624307+185978)/2187935Stefano Morozzi09/2019
1027(2^624303+40814)/2187934Stefano Morozzi09/2019
1028(2^624304+99238)/2187934Stefano Morozzi09/2019
10292^624077-112723187866Enzo Doria07/2014
10302^624008+1874941187846Enzo Doria06/2016
10312^623870+78679187804Enzo Doria05/2016
10322^623714-114035187757Enzo Doria11/2014
10332^623651-1834251187738Enzo Doria07/2015
1034(7*10^187645+53)/3187646Robert Price05/2018
10352^623146+1879609187586Enzo Doria09/2016
1036(5*10^187471+91)/3187472Robert Price04/2018
10372^622500+81931187392Enzo Doria08/2016
10382^622300-1861739187331Enzo Doria12/2015
1039(38*10^187281+349)/9187282Robert Price10/2018
10402^622052+76771187257Enzo Doria05/2016
10412^622005-24091187243Enzo Doria08/2013
10422^621879-351787187205Enzo Doria07/2015
1043(23*10^187164-143)/3187165Robert Price12/2019
10442^621700+79411187151Enzo Doria06/2016
1045(2*10^187062-71)/3187062Robert Price12/2017
10462^620929-113203186919Enzo Doria07/2014
104710^186842+168223186843Patrick De Geest07/2018
104810^186842-8001186842Robert Price03/2018
10492^620347-1777186744Lelio R Paula07/2013
105011^179143-4170186559Enzo Doria12/2012
1051(5^266863+1)/6186529Paul Bourdelais07/2010
10522^619297-2792353186427Enzo Doria02/2016
1053(49*10^186409+383)/9186410Robert Price04/2019
10542^618940-460139186320Enzo Doria06/2015
10552^618046+74179186051Enzo Doria04/2016
10563*10^186019+11186020Robert Price07/2018
1057(16*10^185978-19)/3185979Robert Price02/2019
10582*10^185930-3185931Robert Price07/2015
1059(82^97151+1)/83185928Paul Bourdelais10/2017
10604*10^185905+91185906Robert Price08/2018
1061(37*10^185811+377)/9185812Robert Price11/2018
10622^617250+9385185811Lelio R Paula07/2013
106339^116749+2185756Robert Price04/2015
10642^616924-39719185713Enzo Doria09/2015
10652^616712+1867621185649Enzo Doria04/2016
1066(3^388897+2^388897)/5185551Jean-Louis Charton09/2011
10678*10^185529-67185530Robert Price08/2019
10684*10^185355+9185356Robert Price05/2015
10692^615622+76639185321Enzo Doria05/2016
10702^615591+1879223185312Enzo Doria08/2016
10712^615503+1876643185285Enzo Doria07/2016
10725^265007-4^265007185232Jean-Louis Charton02/2013
1073(4*10^185221-91)/3185222Robert Price03/2018
107456*10^185139-3185141Robert Price03/2020
10752^614783-2790097185069Enzo Doria12/2015
10762^614745-29323185057Enzo Doria07/2015
1077(((((((((((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
1078(49*10^184993-67)/9184994Robert Price03/2019
1079(14*10^184950+211)/9184951Robert Price04/2018
10802^614315+81353184928Enzo Doria08/2016
10812^614294-1849961184921Enzo Doria08/2015
10822^614266+1877809184913Enzo Doria08/2016
10832^613715-1860727184747Enzo Doria11/2015
10842*10^184723+41184724Robert Price05/2018
10852^613487-349987184678Enzo Doria07/2015
1086(95^93377+1)/96184672Paul Bourdelais11/2017
108714^161089-161089^14184629Serge Batalov05/2016
10882^613033-114621184542Enzo Doria05/2015
1089(9^193247+1)/10184404Paul Bourdelais02/2010
10902^612341-1604809184334Enzo Doria05/2015
1091(2^611999-1)/18464214225958267477777390354183184199Dario Alpern06/2017
1092(14*10^184150+37)/3184151Robert Price12/2018
10932^611731-4837184150Yves Minet08/2018
10943*10^184124-7184125Robert Price08/2015
10952^611628-24537184119Enzo Doria08/2013
10963*10^184110+13184111Robert Price07/2018
10972^611460+71881184068Enzo Doria04/2016
10984*10^184004-63184005Robert Price10/2018
10992^610982-1867301183924Enzo Doria03/2016
11003*10^183872-49183873Robert Price07/2018
11012^610597+1178897183809Enzo Doria05/2016
1102(17*10^183764+31)/3183765Robert Price01/2019
1103(28*10^183760-1)/9183761Serge Batalov10/2014
11042^610401+1277183750Lelio R Paula07/2013
11052^610356-1849019183736Enzo Doria08/2015
1106(63^102103+1)/64183717Paul Bourdelais10/2017
110723*10^183710-7183712Robert Price02/2020
1108(2^610289+1)/(3*528882550291)183704Gord Palameta08/2018
1109(4*10^183659+149)/9183659Robert Price04/2018
11102^609846-1834251183582Enzo Doria07/2015
111111^176176-240183469Enzo Doria11/2012
1112(41^113749+1)/42183451Paul Bourdelais11/2017
1113(28*10^183403+191)/3183404Robert Price02/2020
1114(101^91463+1)/102183320Paul Bourdelais11/2017
11152^608965-113989183317Enzo Doria10/2014
1116A005165(43592)183312Serge Batalov07/2017
1117(61*10^183294+119)/9183295Robert Price05/2019
11182^608814-461261183272Enzo Doria06/2015
1119(163*10^183227-1)/9183229Serge Batalov12/2014
11202^608541-608541^2183190Henri Lifchitz02/2018
11212^608293+143807183115Enzo Doria10/2016
11222^608164-462419183076Enzo Doria08/2015
11232^607950-1862303183012Enzo Doria12/2015
1124(46*10^182896+683)/9182897Robert Price03/2019
11252^607101+1871987182756Enzo Doria05/2016
11262^606869-69175182686Enzo Doria11/2015
11273*10^182614-11182615Robert Price07/2018
11282^606560-357182593Enzo Doria05/2014
11292^605687+1866983182330Enzo Doria03/2016
11302^605655-114445182321Enzo Doria02/2015
1131(20^140053+1)/21182212Paul Bourdelais04/2010
1132(14*10^182177-221)/9182178Robert Price04/2018
11332^605174-112751182176Enzo Doria06/2014
11342^604761+1874507182052Enzo Doria06/2016
11352^604705+1871957182035Enzo Doria05/2016
1136(14*10^182000+229)/9182001Robert Price03/2018
1137(10^181996+41)/3181996Robert Price12/2017
1138(5*10^181950-101)/3181951Robert Price04/2018
11392^603915+75233181797Enzo Doria04/2016
114011^174145-360181354Enzo Doria10/2012
11412^602351-396765181326Enzo Doria08/2013
11426*10^181306+17181307Robert Price04/2019
11432^601957-113833181208Enzo Doria09/2014
114466^99581-65^99581181193Robert Price09/2013
114510^181182+383973181183Patrick De Geest04/2016
114610^181182-21181182Serge Batalov12/2014
1147(5*10^181127-29)/3181128Robert Price03/2018
11482^601521-29143181076Enzo Doria07/2015
11492^601442-2797811181053Enzo Doria04/2016
11505*10^180992-9180993Robert Price05/2015
115110^180979+79477180980Patrick De Geest04/2016
115210^180979+107739180980Patrick De Geest04/2016
115310^180979-11180979Serge Batalov12/2014
11542^601023-113851180926Enzo Doria10/2014
1155(23*10^180862-143)/3180863Robert Price12/2019
11563*10^180852+29180853Robert Price05/2018
1157(79*10^180710-1)/3180712Robert Price02/2020
11582^600300-1852559180709Enzo Doria08/2015
1159(10^180689+71)/9180689Serge Batalov07/2015
11602^600209+76487180681Enzo Doria05/2016
11612^599702-369885180529Enzo Doria11/2013
1162Tau(643^11688)180524Nik Lygeros / Olivier Rozier05/2015
1163(2951*29^123418-3)/4180490Curtis Bright05/2015
1164(29*10^180432-17)/3180433Robert Price09/2019
11654*10^180360+93180361Robert Price08/2018
11662^598942+80779180300Enzo Doria07/2016
1167(38*10^180296+403)/9180297Robert Price10/2018
11682^598591-1844797180194Enzo Doria06/2015
1169(100^90089+1)/101180176Paul Bourdelais08/2017
11706*10^179970+91179971Robert Price05/2019
1171(4*10^179963-79)/3179964Robert Price02/2018
1172Gamma-Prime(179849)179849Eric W. Weisstein06/2011
11732^597424-1859729179843Enzo Doria11/2015
1174Phi(180683,10)179760Maksym Voznyy09/2015
1175(10^180683-1)*9/(10^643-1)/(10^281-1)179760Robert Price07/2016
1176(3^376657-2^376657)/22301107657179701Mike Oakes04/2017
1177(29*10^179697+223)/9179698Robert Price09/2018
1178(68*10^179656+7)/3179658Robert Price01/2020
11792^596690-461261179622Enzo Doria07/2015
11802^596684-113939179620Enzo Doria10/2014
11812*10^179602+63179603Robert Price05/2018
11823^375887-112696179344Enzo Doria07/2014
11834*10^179265-71179266Robert Price12/2018
11842^595144-1850429179157Enzo Doria08/2015
11853*10^179138+89179139Robert Price10/2018
11862^594531+82253178972Enzo Doria09/2016
11872^594260-2787899178891Enzo Doria11/2015
11882^593631+101381178701Jorge Menendez04/2018
118910^178695+136719178696Patrick De Geest05/2016
119010^178695-71178695Serge Batalov12/2014
1191(2^148330+1)^4-2178608Cletus Emmanuel12/2003
11922^593222-14145178578Jorge Menendez10/2017
11932^593178+1867219178565Enzo Doria03/2016
1194(302*10^178369+13)/9178371Robert Price02/2020
1195(18^142031-1)/17178287Paul Bourdelais03/2010
1196(5*10^178206+91)/3178207Robert Price04/2018
11972^591872-291929178172Enzo Doria07/2015
11982^591682-286871178115Enzo Doria07/2015
11994*10^178091+9178092Robert Price05/2015
1200410747#+478483178007Makoto Morimoto02/2016
12013*10^177872+73177873Robert Price08/2018
12022^590762-396765177838Enzo Doria08/2013
1203(136*10^177754-1)/9177756Serge Batalov12/2014
1204ReverseConsecutiveIntegerPrime(37765)177719Eric W. Weisstein04/2010
1205(11*10^177466-113)/3177467Robert Price10/2018
12063*10^177373-97177374Robert Price07/2018
12072^589204+1881151177369Enzo Doria11/2016
12082^589132-69479177347Enzo Doria01/2016
1209(101*10^177302-17)/3177304Robert Price02/2020
12102^588912-113519177281Enzo Doria08/2014
121115^150706+2177245Robert Price06/2015
12122^588194-1861001177065Enzo Doria11/2015
1213(23*10^176964-47)/3176965Robert Price09/2019
1214(19*10^176932+521)/9176933Robert Price05/2018
1215(8*10^176908+43)/3176909Robert Price06/2018
12162^587560-113699176874Enzo Doria09/2014
1217(101*10^176815-17)/3176817Robert Price02/2020
1218(25*10^176715-37)/3176716Robert Price10/2019
12195^252763-12862176674Enzo Doria05/2014
12202^586804+81721176646Enzo Doria08/2016
1221(10^176584+77)/3176584Robert Price01/2018
12222^586570+1874419176576Enzo Doria06/2016
12232^585994-3311176402Yves Minet12/2014
12242^585832-112799176354Enzo Doria07/2014
12252^585336-461039176204Enzo Doria06/2015
12262^585095-1848127176132Enzo Doria08/2015
12272^584950-115451176088Enzo Doria07/2015
12282^584671-3697176004Yves Minet03/2017
1229(13*10^175965-37)/3175966Robert Price01/2019
12302*10^175860-87175861Robert Price04/2018
1231(86*10^175774-221)/9175775Robert Price09/2019
123210^175608+2971175609Mike Oakes05/2010
123310^175608-55829175608Patrick De Geest09/2013
12342^583051+1879793175516Enzo Doria09/2016
12352^582860-23829175459Enzo Doria08/2013
12362^582670-23913175402Enzo Doria08/2013
12372^582573-29563175372Enzo Doria08/2015
12382^582435-1862767175331Enzo Doria12/2015
1239(11*10^175250-149)/3175251Robert Price09/2018
12402^582072-1848599175222Enzo Doria08/2015
1241(404267#+465)/(3^4*5^2*31)175208Makoto Morimoto06/2019
1242(220221^32768+1)/2175075Serge Batalov03/2018
12432^581560+1874911175068Enzo Doria06/2016
1244(75^93307-1)/74174955Paul Bourdelais09/2017
1245(47*10^174790+493)/9174791Robert Price03/2019
12462^580528-114035174757Enzo Doria11/2014
1247(19*10^174754+737)/9174755Robert Price07/2018
1248(35*10^174704-377)/9174705Robert Price07/2018
12493*10^174665-97174666Robert Price07/2018
12502^580046-459161174612Enzo Doria05/2015


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: March, 29 2020 17:41 (Time in France)

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