PRP Records

Probable Primes Top 10000

(291910 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 ?
150199*10^189876-7189878Robert Price07/2020
15022^630359+1788953189757Enzo Doria05/2016
15032^630228+1871971189718Enzo Doria05/2016
15042^630108+781189682Lelio R Paula08/2013
15052^629870-1867811189610Enzo Doria04/2016
1506(359^74189-1)/358189558Alexander Zhirkov11/2017
15072^629326+2792929189447Enzo Doria02/2016
15084*10^189401+13189402Robert Price02/2021
1509(10^189385-61)/3189385Serge Batalov12/2014
15102^629036+1874011189359Enzo Doria06/2016
15112^628930+80779189327Enzo Doria07/2016
1512(134*10^189309-11)/3189311Robert Price01/2022
15132^628582+1179439189223Enzo Doria06/2016
1514(44*10^188999-503)/9189000Robert Price12/2018
1515(16*10^188823+167)/3188824Robert Price06/2019
1516(10^188796+7)/4967/71933188788Alfred Reich08/2021
15172^627037-2785843188757Enzo Doria10/2015
1518(10^188566+7)/311640753181661188552Alfred Reich04/2022
1519(16*10^188457+161)/3188458Robert Price02/2019
1520L(901657)188436Renaud Lifchitz11/2008
1521(19*10^188375+137)/3188376Robert Price03/2022
15222^625651+74213188340Enzo Doria04/2016
15232^625584-460919188320Enzo Doria06/2015
1524(8*10^188308-71)/9188308Serge Batalov11/2022
1525(14*10^188218+139)/9188219Robert Price11/2021
1526(10^188164+359)/9188164Serge Batalov12/2014
15272^624481-113611187988Enzo Doria08/2014
1530(2^624389+125582)/2187960Stefano Morozzi09/2019
1528(2^624389+166982)/2187960Stefano Morozzi09/2019
1529(2^624389+179886)/2187960Stefano Morozzi09/2019
1531(2^624387+64466)/2187959Stefano Morozzi09/2019
1532(2^624378+112990)/2187957Stefano Morozzi09/2019
1533(2^624380+161986)/2187957Stefano Morozzi09/2019
1535(2^624376+55762)/2187956Stefano Morozzi09/2019
1534(2^624377+169506)/2187956Stefano Morozzi09/2019
1536(2^624355+80178)/2187950Stefano Morozzi09/2019
1537(2^624351+61350)/2187949Stefano Morozzi09/2019
1538(2^624341+63462)/2187946Stefano Morozzi09/2019
1539(2^624344+135990)/2187946Stefano Morozzi09/2019
1540(2^624344+183898)/2187946Stefano Morozzi09/2019
1542(2^624340+126982)/2187945Stefano Morozzi09/2019
1541(2^624338+196110)/2187945Stefano Morozzi09/2019
1543(2^624337+105162)/2187944Stefano Morozzi09/2019
1544(2^624333+44594)/2187943Stefano Morozzi09/2019
1545(2^624321+88742)/2187940Stefano Morozzi09/2019
1546(2^624324+135178)/2187940Stefano Morozzi09/2019
1547(2^624317+14186)/2187938Stefano Morozzi09/2019
1548(2^624313+24450)/2187937Stefano Morozzi09/2019
1549(2^624309+184590)/2187936Stefano Morozzi09/2019
1551(2^624307+152658)/2187935Stefano Morozzi09/2019
1550(2^624307+185978)/2187935Stefano Morozzi09/2019
1552(2^624303+40814)/2187934Stefano Morozzi09/2019
1553(2^624304+99238)/2187934Stefano Morozzi09/2019
15542^624077-112723187866Enzo Doria07/2014
15552^624008+1874941187846Enzo Doria06/2016
15562^623870+78679187804Enzo Doria05/2016
15572^623714-114035187757Enzo Doria11/2014
15582^623651-1834251187738Enzo Doria07/2015
1559(7*10^187645+53)/3187646Robert Price05/2018
15602^623146+1879609187586Enzo Doria09/2016
1561(401*10^187512+13)/9187514Robert Price09/2021
1562(5*10^187471+91)/3187472Robert Price04/2018
15632^622500+81931187392Enzo Doria08/2016
1564(13*10^187382-157)/9187383Robert Price05/2021
15652^622300-1861739187331Enzo Doria12/2015
1566(22*10^187317-91)/3187318Robert Price02/2022
1567(38*10^187281+349)/9187282Robert Price10/2018
15682^622052+76771187257Enzo Doria05/2016
15692^622005-24091187243Enzo Doria08/2013
15707*10^187205-57187206Robert Price06/2020
15712^621879-351787187205Enzo Doria07/2015
1572(5*10^187168-53)/3187169Robert Price09/2020
1573(23*10^187164-143)/3187165Robert Price12/2019
15742^621700+79411187151Enzo Doria06/2016
1575(7*10^187101+131)/3187102Robert Price06/2020
1576(2*10^187062-71)/3187062Robert Price12/2017
15772^620929-113203186919Enzo Doria07/2014
157810^186842+168223186843Patrick De Geest07/2018
157910^186842-8001186842Robert Price03/2018
15802^620347-1777186744Lelio R Paula07/2013
1581(11*10^186659+133)/9186660Robert Price04/2022
158211^179143-4170186559Enzo Doria12/2012
1583(5^266863+1)/6186529Paul Bourdelais07/2010
15842*10^186517+33186518Robert Price11/2021
15852^619297-2792353186427Enzo Doria02/2016
1586(49*10^186409+383)/9186410Robert Price04/2019
15872^618940-460139186320Enzo Doria06/2015
15882^618046+74179186051Enzo Doria04/2016
15893*10^186019+11186020Robert Price07/2018
1590(16*10^185978-19)/3185979Robert Price02/2019
1591(22*10^185950-7)/3185951Robert Price12/2022
15922*10^185930-3185931Robert Price07/2015
1593(82^97151+1)/83185928Paul Bourdelais10/2017
15944*10^185905+91185906Robert Price08/2018
1595(34*10^185902-601)/9185903Robert Price07/2022
1596(19*10^185873+131)/3185874Robert Price06/2020
1597(37*10^185811+377)/9185812Robert Price11/2018
15982^617250+9385185811Lelio R Paula07/2013
15992^617130+9185775Stefano Morozzi05/2021
160039^116749+2185756Robert Price04/2015
16012^616924-39719185713Enzo Doria09/2015
16022^616712+1867621185649Enzo Doria04/2016
1603(3^388897+2^388897)/5185551Jean-Louis Charton09/2011
16048*10^185529-67185530Robert Price08/2019
16054*10^185355+9185356Robert Price05/2015
1606(16*10^185347+89)/3185348Robert Price03/2021
16072^615622+76639185321Enzo Doria05/2016
16082^615591+1879223185312Enzo Doria08/2016
16092^615503+1876643185285Enzo Doria07/2016
16105^265007-4^265007185232Jean-Louis Charton02/2013
1612(4*10^185221-91)/3185222Robert Price03/2018
1611(7*10^185221+131)/3185222Robert Price06/2020
1613(62*10^185216-413)/9185217Robert Price09/2021
1614(232*10^185180+17)/3185182Robert Price04/2021
161556*10^185139-3185141Robert Price03/2020
1616(28*10^185105+47)/3185106Robert Price02/2021
16172^614783-2790097185069Enzo Doria12/2015
16182^614745-29323185057Enzo Doria07/2015
1619(((((((((((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
1620(49*10^184993-67)/9184994Robert Price03/2019
1621(5*10^184954-191)/3184955Robert Price05/2021
1622(14*10^184950+211)/9184951Robert Price04/2018
16232^614315+81353184928Enzo Doria08/2016
16242^614294-1849961184921Enzo Doria08/2015
16252^614266+1877809184913Enzo Doria08/2016
1626(185*10^184878-11)/3184880Robert Price10/2020
162791*10^184867-9184869Robert Price06/2021
1628(85*10^184768+77)/9184769Robert Price07/2022
16292^613715-1860727184747Enzo Doria11/2015
1630(4*10^184730+89)/3184731Robert Price08/2021
16312*10^184723+41184724Robert Price05/2018
1632(49*10^184703+293)/9184704Robert Price03/2021
16332^613487-349987184678Enzo Doria07/2015
1634(95^93377+1)/96184672Paul Bourdelais11/2017
163514^161089-161089^14184629Serge Batalov05/2016
16362^613033-114621184542Enzo Doria05/2015
1637(9^193247+1)/10184404Paul Bourdelais02/2010
16382^612341-1604809184334Enzo Doria05/2015
1639(11*10^184308-161)/3184309Robert Price11/2021
1640(2^611999-1)/18464214225958267477777390354183184199Dario Alpern06/2017
1641(14*10^184150+37)/3184151Robert Price12/2018
16422^611731-4837184150Yves Minet08/2018
16433*10^184124-7184125Robert Price08/2015
16442^611628-24537184119Enzo Doria08/2013
16453*10^184110+13184111Robert Price07/2018
1646(194*10^184093+1)/3184095Robert Price01/2022
16472^611460+71881184068Enzo Doria04/2016
16484*10^184004-63184005Robert Price10/2018
16492^610982-1867301183924Enzo Doria03/2016
16503*10^183872-49183873Robert Price07/2018
16512^610597+1178897183809Enzo Doria05/2016
1652(8*10^183773-269)/9183773Robert Price09/2021
1653(65*10^183768-29)/9183769Robert Price01/2021
1654(17*10^183764+31)/3183765Robert Price01/2019
1655(28*10^183760-1)/9183761Serge Batalov10/2014
16562^610401+1277183750Lelio R Paula07/2013
16572^610356-1849019183736Enzo Doria08/2015
1658(63^102103+1)/64183717Paul Bourdelais10/2017
165923*10^183710-7183712Robert Price02/2020
1660(2^610289+1)/(3*528882550291)183704Gord Palameta08/2018
1661(4*10^183659+149)/9183659Robert Price04/2018
1662(4*10^183657+41)/9183657Serge Batalov11/2022
16637*10^183596+39183597Robert Price01/2023
16642^609846-1834251183582Enzo Doria07/2015
166510^183546+1547323183547Patrick De Geest02/2021
166710^183546-800000001183546Robert Price09/2020
166610^183546-584297183546Patrick De Geest02/2021
16687*10^183511+39183512Robert Price01/2023
1669(23*10^183477-71)/3183478Robert Price07/2020
167011^176176-240183469Enzo Doria11/2012
1671(41^113749+1)/42183451Paul Bourdelais11/2017
16726*10^183429+53183430Robert Price05/2020
1673(28*10^183403+191)/3183404Robert Price02/2020
1674(101^91463+1)/102183320Paul Bourdelais11/2017
16752^608965-113989183317Enzo Doria10/2014
1676A005165(43592)183312Serge Batalov07/2017
1677(61*10^183294+119)/9183295Robert Price05/2019
16782^608814-461261183272Enzo Doria06/2015
1679(163*10^183227-1)/9183229Serge Batalov12/2014
16802^608541-608541^2183190Henri Lifchitz02/2018
16812^608293+143807183115Enzo Doria10/2016
16822^608164-462419183076Enzo Doria08/2015
16832^607950-1862303183012Enzo Doria12/2015
1684(46*10^182896+683)/9182897Robert Price03/2019
1685(2*10^182787+73)/3182787Robert Price09/2020
16862^607101+1871987182756Enzo Doria05/2016
16872^606869-69175182686Enzo Doria11/2015
16888*10^182671+71182672Robert Price05/2022
1689(23*10^182666-71)/3182667Robert Price07/2020
16903*10^182614-11182615Robert Price07/2018
16912^606560-357182593Enzo Doria05/2014
169266*10^182420+7182422Robert Price07/2020
16932^605687+1866983182330Enzo Doria03/2016
16942^605655-114445182321Enzo Doria02/2015
169594*10^182291-3182293Robert Price05/2020
1696(20^140053+1)/21182212Paul Bourdelais04/2010
1697(14*10^182177-221)/9182178Robert Price04/2018
16982^605174-112751182176Enzo Doria06/2014
16992^604761+1874507182052Enzo Doria06/2016
17002^604705+1871957182035Enzo Doria05/2016
1701(14*10^182000+229)/9182001Robert Price03/2018
1702(10^181996+41)/3181996Robert Price12/2017
1703(17*10^181979+91)/9181980Robert Price02/2022
1704(5*10^181950-101)/3181951Robert Price04/2018
17052^603915+75233181797Enzo Doria04/2016
170639470^39537+39537^39470181723Norbert Schneider12/2022
1707(10^181710+7)/563747/2019847181698Alfred Reich08/2021
17087*10^181594-57181595Robert Price06/2020
17098*10^181580+29181581Robert Price11/2021
1710(83*10^181544+61)/9181545Serge Batalov01/2023
1711(2*10^181457+7)/9181457Rytis Slatkevicius01/2023
17123*10^181445+23181446Robert Price03/2022
1713(194*10^181369-11)/3181371Robert Price09/2020
171411^174145-360181354Enzo Doria10/2012
17152^602351-396765181326Enzo Doria08/2013
17166*10^181306+17181307Robert Price04/2019
1717(286*10^181220-1)/3181222Robert Price11/2020
17182^601957-113833181208Enzo Doria09/2014
171966^99581-65^99581181193Robert Price09/2013
172010^181182+383973181183Patrick De Geest04/2016
172110^181182-21181182Serge Batalov12/2014
1722(797*10^181171-41)/9181173Robert Price04/2022
1723(5*10^181127-29)/3181128Robert Price03/2018
17242^601521-29143181076Enzo Doria07/2015
17252^601442-2797811181053Enzo Doria04/2016
172644*10^181029+3181031Robert Price04/2020
17275*10^180992-9180993Robert Price05/2015
172810^180979+79477180980Patrick De Geest04/2016
172910^180979+107739180980Patrick De Geest04/2016
173010^180979-11180979Serge Batalov12/2014
17312^601023-113851180926Enzo Doria10/2014
1732(23*10^180862-143)/3180863Robert Price12/2019
17333*10^180852+29180853Robert Price05/2018
1734(277*10^180782-7)/9180784Robert Price02/2022
1735(8*10^180725-629)/9180725Robert Price01/2022
1736(79*10^180710-1)/3180712Robert Price02/2020
17372^600300-1852559180709Enzo Doria08/2015
1738(2*10^180706-77)/3180706Robert Price02/2021
1739(10^180689+71)/9180689Serge Batalov07/2015
17402^600209+76487180681Enzo Doria05/2016
1741(8*10^180536-269)/9180536Robert Price09/2021
17422^599702-369885180529Enzo Doria11/2013
1743Tau(643^11688)180524Nik Lygeros / Olivier Rozier05/2015
1744(2951*29^123418-3)/4180490Curtis Bright05/2015
1745(29*10^180432-17)/3180433Robert Price09/2019
17464*10^180360+93180361Robert Price08/2018
17472^598942+80779180300Enzo Doria07/2016
1748(38*10^180296+403)/9180297Robert Price10/2018
1749(85*10^180241+77)/9180242Robert Price07/2022
17502^598591-1844797180194Enzo Doria06/2015


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: February, 02 2023 13:22 (Time in France)

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