PRP Records

Probable Primes Top 10000

(271000 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 ?
1501(76*10^164984+77)/9164985Robert Price10/2019
15029*10^164791-89164792Robert Price04/2020
15032^547178-1856501164717Enzo Doria10/2015
150411^158160-60164707Enzo Doria07/2012
1505(26*10^164643-167)/3164644Robert Price10/2019
15062^546398-59201164483Enzo Doria10/2015
15072^546332-114893164463Enzo Doria05/2015
15082^545958+1876189164350Enzo Doria07/2016
15092^545878-49841164326Enzo Doria10/2015
1510(10^164284+77)/3164284Robert Price01/2018
15112^545668-4019164263Yves Minet04/2017
1512(13*53^238539*617^9)/10^247183164151Hans Havermann07/2017
1513(16*10^164122+197)/3164123Robert Price04/2019
15142^545185+76757164118Enzo Doria05/2016
15152^545076-114329164085Enzo Doria01/2015
1516(2*10^164043-143)/3164043Robert Price03/2018
1517(29^112153+1)/30164011Lelio R Paula03/2017
15182^544757+1874777163989Enzo Doria06/2016
15192^544444-457199163894Enzo Doria01/2015
15202^544264-343529163840Enzo Doria07/2015
15217*10^163780+9163781Robert Price09/2015
15222^543989+2793047163758Enzo Doria02/2016
1523(28*10^163709+113)/3163710Robert Price03/2020
15242^542870-69551163421Enzo Doria12/2015
15252^542395+72533163278Enzo Doria04/2016
15262^542072-3683163180Yves Minet03/2017
15272^541779-1867357163092Enzo Doria04/2016
15288*10^162924+9162925Robert Price12/2015
15292^540905+81557162829Enzo Doria08/2016
15302^540628-2939162746Yves Minet09/2014
1531919^54919-918^54919162743Jean-Louis Charton01/2013
1532(203*10^162689+1)/3162691Robert Price03/2020
15333*10^162620-59162621Robert Price09/2018
15343^340694-112960162553Enzo Doria07/2014
15352^539807-114081162499Enzo Doria12/2014
15362^539654-114893162453Enzo Doria05/2015
15372^539617-1851583162441Enzo Doria08/2015
1538(91*10^162410+11)/3162412Robert Price02/2020
15392^539346+81049162360Enzo Doria07/2016
15402^539220-115499162322Enzo Doria07/2015
15412^539217-113713162321Enzo Doria09/2014
15429^170099-8^170099162316Jean-Louis Charton05/2005
1543(115*10^162153-1)/3162155Serge Batalov12/2014
1544(10^162138+11)/3162138Serge Batalov07/2015
15452^538473-112723162097Enzo Doria06/2014
15462^538157+79337162002Enzo Doria06/2016
15472^538136-114749161996Enzo Doria05/2015
15482^538104+1531161986Lelio R Paula01/2013
1549(9*29^110727-1199)/14161927Curtis Bright05/2015
15502^537815-22737161899Enzo Doria07/2013
15512^537804-39839161896Enzo Doria09/2015
1552(754*10^161816-7)/9161818Robert Price05/2020
15532^537458-59201161791Enzo Doria10/2015
15542*10^161766+51161767Robert Price05/2018
1555(7*10^161760+131)/3161761Robert Price06/2020
15562^537209-49849161717Enzo Doria10/2015
1557(58*10^161691+329)/9161692Robert Price05/2019
15582^536937+1879397161635Enzo Doria09/2016
155934*10^161593-9161595Robert Price06/2020
1560(31*10^161582-1)/3161584Robert Price02/2020
15612^536569-22881161524Enzo Doria07/2013
156210^161253+573493161254Patrick De Geest07/2018
156310^161253-8001161253Robert Price03/2018
156497*10^161247-3161249Robert Price05/2020
15657*10^161192-9161193Robert Price10/2015
15662^535269-113803161133Enzo Doria09/2014
15672^535205-23295161113Enzo Doria08/2013
1568(89^82609+1)/90161036Paul Bourdelais10/2017
15692^534359-23229160859Enzo Doria08/2013
15708*10^160782+53160783Robert Price08/2020
157167^88037-66^88037160763Robert Price10/2013
15722^533948-1852559160735Enzo Doria08/2015
15732^533665-23335160650Enzo Doria08/2013
1574(19*10^160619+77)/3160620Robert Price05/2019
15753^336353-2^336353160482Mike Oakes10/2007
1576(91*10^160249+11)/3160251Robert Price02/2020
15772^532253+1868417160225Enzo Doria04/2016
15782^532108-291989160181Enzo Doria07/2015
1579(26*10^160166-131)/3160167Robert Price10/2019
1580(17*10^160143+67)/3160144Robert Price01/2019
1581(19*10^159921-49)/3159922Robert Price05/2019
15822^531110-1853771159881Enzo Doria09/2015
15832^530992-1845299159845Enzo Doria07/2015
1584(136*10^159736-1)/9159738Serge Batalov12/2014
15852^530417-113833159672Enzo Doria09/2014
15862^530406-69701159669Enzo Doria02/2016
15875*10^159656+41159657Robert Price03/2019
15887^188858-188858^7159604Norbert Schneider05/2018
1589(24^115597-1)/23159547Paul Bourdelais09/2017
1590(17*10^159438-377)/9159439Robert Price03/2018
1591(203*10^159381+1)/3159383Robert Price03/2020
159289*10^159258-9159260Robert Price05/2020
15932^528944-461315159229Enzo Doria07/2015
1594(13*10^159147+161)/3159148Robert Price11/2018
15952^528620-113879159131Enzo Doria10/2014
15962^528000-23307158944Enzo Doria08/2013
1597(29*10^158909+61)/9158910Robert Price08/2018
15982^527817+1876817158889Enzo Doria07/2016
15992^527774-49451158876Enzo Doria10/2015
16002^527745-291553158868Enzo Doria07/2015
1601(91*10^158862+11)/3158864Robert Price02/2020
16022^527644-1856999158837Enzo Doria10/2015
1603(37200^37199-37198^37199)/(2^37199)158822Henri Lifchitz06/2013
16042^527573-1863253158816Enzo Doria12/2015
16052^527553-23401158810Enzo Doria08/2013
160610^158755-50001158755Robert Price08/2020
160711^152420-210158730Enzo Doria09/2012
1608(13*10^158694+401)/9158695Robert Price01/2018
16092^527052-69059158659Enzo Doria11/2015
16102^526849-113233158598Enzo Doria07/2014
1611(2^526763-lucasV(1,2,526763)+1)/2158572Mike Oakes11/2016
1612(299*10^158544-17)/3158546Robert Price04/2020
16132^526658-3551158540Yves Minet03/2017
16147*10^158465-11158466Robert Price06/2019
16152^526375-23115158455Enzo Doria08/2013
1616(77*10^158407-293)/9158408Robert Price09/2019
16172^526028-112793158351Enzo Doria07/2014
1618(229*10^158339-1)/3158341Robert Price07/2020
16192^525690-9221158249Lelio R Paula01/2013
16202*10^158242-7158243Robert Price10/2015
16212^525667-525667^2158242Henri Lifchitz12/2017
16222^525186-1857431158097Enzo Doria10/2015
16232^524515-23245157895Enzo Doria08/2013
16242^524499-109087157890Enzo Doria04/2014
16252^18067*(2^506221+1)-1157827Makoto Morimoto05/2014
16272^524288+189093157827Makoto Morimoto01/2016
16262^524288-164073157827Matthias Baur03/2020
1628(2^(2^19)-9333)/(19*23*463*1213*31973)157814Makoto Morimoto09/2017
1629(10^157792+359)/9157792Serge Batalov12/2014
16302^523924+1876591157717Enzo Doria07/2016
1631(17*10^157705+67)/3157706Robert Price01/2019
1632(46^94841+1)/47157696Robert Price01/2014
16332^523774+77839157672Enzo Doria05/2016
16342^523587+2799143157616Enzo Doria04/2016
16352^523371+1872113157551Enzo Doria05/2016
1636(8*10^157368+49)/3157369Robert Price05/2020
1637(82*10^157319+449)/9157320Robert Price11/2019
16382^522535-351457157299Enzo Doria07/2015
16392^522226+2799079157206Enzo Doria04/2016
16402^522134-1849451157178Enzo Doria08/2015
16419*10^157152+71157153Robert Price08/2020
16424*10^157150+93157151Robert Price08/2018
16432^521401-29593156958Enzo Doria08/2015
16447*10^156956+87156957Robert Price07/2019
16452^521348-23397156942Enzo Doria08/2013
1646(98^78797+1)/99156901Paul Bourdelais12/2017
164765^86522+64156857Lelio R Paula04/2016
16488^173687-7^173687156855Jean-Louis Charton09/2004
16492^520977-1858183156830Enzo Doria10/2015
1650(8*10^156718-101)/3156719Robert Price08/2018
16512^520314-1849481156631Enzo Doria08/2015
1652(13*10^156522+89)/3156523Robert Price09/2018
1653(2^(6*86654+1)-5)/3156513Kevin Acres12/2013
16543*10^156435-97156436Robert Price07/2018
1655(8*10^156371-77)/3156372Robert Price07/2018
165653^90679-52^90679156356Robert Price01/2013
16572^519106-59141156267Enzo Doria10/2015
16582^519053+6077156251Enzo Doria02/2016
16592^518968-1860989156225Enzo Doria11/2015
1660(25*10^156221-7)/9156222Robert Price05/2018
16612^518931-2782297156214Enzo Doria09/2015
16622^518608-2939156117Yves Minet09/2014
166310*27^109005+697156027Curtis Bright05/2015
16642^517967-113485155924Enzo Doria08/2014
1665(103*10^155904+17)/3155906Robert Price08/2020
16662^517698+4429155843Lelio R Paula01/2013
16672^517543-113257155796Enzo Doria07/2014
1668(14*10^155740-143)/3155741Robert Price11/2018
166931^104309-30^104309155563Henri Lifchitz08/2013
16702^516742-39851155555Enzo Doria09/2015
1671(19*10^155504+131)/3155505Robert Price06/2020
16727*10^155496+61155497Robert Price08/2019
16732^516440+1878421155464Enzo Doria08/2016
16742^515863-1867237155291Enzo Doria03/2016
16752^515786-461861155268Enzo Doria07/2015
16762^515644-113247155225Enzo Doria07/2014
1677(7*10^155203+107)/3155204Robert Price02/2018
1678(17*10^155133-89)/9155134Robert Price07/2018
16792^515227-114997155099Enzo Doria06/2015
1681EPrime(155025)155025Eric W. Weisstein10/2010
1680(14*10^155024-221)/9155025Robert Price04/2018
1682(4*10^155022+173)/3155023Robert Price02/2018
1683(266*10^154897+1)/3154899Robert Price04/2020
1684(115*10^154869-1)/3154871Serge Batalov12/2014
1685(86*10^154853-221)/9154854Robert Price09/2019
16862^514361+78167154839Enzo Doria05/2016
16872^514281-115033154815Enzo Doria06/2015
16882^514194-3311154788Yves Minet12/2014
1689(14*10^154773+37)/3154774Robert Price12/2018
16906*10^154742-31154743Robert Price07/2020
16912^513437+1879337154560Enzo Doria09/2016
16922^513306-113201154521Enzo Doria07/2014
1693(10^154494-13)/3154494Robert Price12/2017
16942^513042-113787154442Enzo Doria09/2014
1695(151*10^154434-7)/9154436Robert Price01/2020
16962^512628-114053154317Enzo Doria11/2014
16972^512529-49783154287Enzo Doria10/2015
1698(355573#+6991)/(6991*2031599)154285Makoto Morimoto06/2019
16992^512315-115297154223Enzo Doria06/2015
17002^512168+79561154178Enzo Doria06/2016
17014*10^154078-57154079Robert Price10/2018
1702(355049#+1859)/(11*13*10148891*62587751)154051Makoto Morimoto06/2019
17037*10^154038-57154039Robert Price06/2020
17042^511658-114371154025Enzo Doria02/2015
1705(57^87719+1)/58154022Paul Bourdelais11/2017
17062^511580-1846679154001Enzo Doria07/2015
17072^511541-113713153990Enzo Doria09/2014
170810^153935-1000001153935Robert Price08/2020
1709(16*10^153868-73)/3153869Robert Price07/2020
17102^511077-112723153850Enzo Doria06/2014
171169^83653-68^83653153826Robert Price12/2013
17122^510963-113707153816Enzo Doria09/2014
1713(154*10^153810-1)/9153812Serge Batalov12/2014
1714(181*25^109991-75077)/8153763Curtis Bright05/2015
17152*10^153746-3153747Robert Price07/2015
17162^510626+1179379153714Enzo Doria05/2016
1717(7*10^153664+113)/3153665Robert Price02/2018
17182^510420+81121153652Enzo Doria07/2016
1719(197*7^181761-1)/2153608Karsten Bonath05/2017
17202^509894-459161153494Enzo Doria05/2015
17212^509841+71657153478Enzo Doria04/2016
17229*10^153446+41153447Robert Price08/2020
17232^509533-1846723153385Enzo Doria07/2015
17242^509468-39989153366Enzo Doria09/2015
172570^83117-69^83117153360Robert Price01/2014
1726(112*10^153025-1)/3153027Serge Batalov12/2014
1727(19*10^153010+131)/3153011Robert Price06/2020
17282^508174-1855151152976Enzo Doria09/2015
1729181^67757-2152974Lelio R Paula12/2017
17302^508160-1864829152972Enzo Doria01/2016
17312^507857-1848199152881Enzo Doria07/2015
17322^507638-115361152815Enzo Doria07/2015
17332^507551-114025152789Enzo Doria11/2014
1734(6^196337+1)/7152780Paul Bourdelais02/2010
1735(22*10^152670-13)/9152671Robert Price06/2018
17362^506451-22339152457Enzo Doria07/2013
17372^505995-113185152320Enzo Doria07/2014
1738(4*10^152253+149)/9152253Robert Price04/2018
1739578^55117-577^55117152230Jean-Louis Charton08/2012
17402^505431-505431152150Henri Lifchitz04/2005
1741(203*10^152143+1)/3152145Robert Price03/2020
17422^505053+73097152037Enzo Doria04/2016
174322*10^151998+3152000Robert Price01/2020
1744(238*10^151979-1)/3151981Robert Price04/2020
1745(2^504793-7)/46765151954Lelio R Paula12/2017
1746350377#+797581151937Nicolas PALAU08/2017
17472^504618-343991151906Enzo Doria07/2015
17482^504212-461939151783Enzo Doria07/2015
17492^504054-2231151736Yves Minet10/2011
1750(28*10^151682+191)/3151683Robert Price02/2020


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: September, 29 2020 00:24 (Time in France)

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