PRP Records

Probable Primes Top 10000

(277054 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 ?
150139^105456+2167788Robert Price04/2015
1502(28^115877-1)/27167691Paul Bourdelais12/2017
150310^167639+121911167640Patrick De Geest07/2018
150410^167639-8001167639Robert Price03/2018
15052^556504-462059167525Enzo Doria07/2015
1506(88*10^167522-637)/9167523Robert Price11/2020
15075*10^167510+9167511Robert Price08/2015
15087*10^167437-93167438Robert Price08/2020
15092^555343+1874333167175Enzo Doria06/2016
15102^555210-461261167135Enzo Doria07/2015
15119*10^166996+59166997Robert Price01/2020
15122^554372+1880527166883Enzo Doria11/2016
15132^554299+72173166861Enzo Doria04/2016
1514(185*10^166837+7)/3166839Robert Price03/2020
15152^554037-2797063166782Enzo Doria03/2016
1516(49*10^166721-139)/9166722Robert Price03/2019
15172*10^166646+69166647Robert Price06/2020
15182^553484-29819166616Enzo Doria08/2015
1519(188*10^166611+7)/3166613Robert Price03/2020
15202^553383-2784217166585Enzo Doria10/2015
15212^553069+76427166491Enzo Doria05/2016
15222*10^166458+51166459Robert Price05/2018
1523589^60089-588^60089166454Jean-Louis Charton09/2012
152411^159756-2424166369Mike Oakes06/2010
15252^552649-361275166364Enzo Doria05/2014
15262^552628-113669166358Enzo Doria09/2014
152710^166324+550603166325Patrick De Geest07/2018
152810^166324-801166324Robert Price02/2018
1529(85*10^166297-1)/3166299Robert Price02/2020
15308*10^166227+87166228Robert Price10/2019
15312^552137+1879397166210Enzo Doria09/2016
1532(103*10^166126+11)/3166128Robert Price01/2021
1533(23^121949-1)/22166061Paul Bourdelais10/2017
15342^551542+19249166031Payam Samidoost08/2002
15352^551535-23821166029Enzo Doria08/2013
15362^551507-23557166021Enzo Doria08/2013
15377*10^165916-3165917Robert Price08/2015
1538(29*10^165796+67)/3165797Robert Price12/2019
153981^86837-80^86837165728Robert Price01/2015
1540(71*10^165663-539)/9165664Robert Price07/2019
15412^550270-69551165648Enzo Doria12/2015
1542(202*10^165569-13)/9165571Robert Price01/2020
15432^550000-23625165567Enzo Doria08/2013
15442^549675-1852057165469Enzo Doria08/2015
1545-tau(103^14938)165374Nik Lygeros / Olivier Rozier10/2013
1546(28*10^165358-1)/9165359Serge Batalov10/2014
15472^549278+1879669165350Enzo Doria09/2016
1548(7*10^165350-439)/9165350Robert Price02/2018
15492^549252-351269165342Enzo Doria06/2015
1550(14*10^165282+73)/3165283Robert Price12/2018
15512^549049+2797607165281Enzo Doria04/2016
1552(7*10^165239+107)/3165240Robert Price02/2018
1553(44^100511-1)/43165184Paul Bourdelais11/2017
1554(7*10^165134+107)/3165135Robert Price02/2018
1555(23*10^165060-83)/3165061Robert Price08/2019
1556(76*10^164984+77)/9164985Robert Price10/2019
15579*10^164791-89164792Robert Price04/2020
15582^547178-1856501164717Enzo Doria10/2015
155911^158160-60164707Enzo Doria07/2012
1560(26*10^164643-167)/3164644Robert Price10/2019
15612^546398-59201164483Enzo Doria10/2015
15622^546332-114893164463Enzo Doria05/2015
15632^545958+1876189164350Enzo Doria07/2016
15642^545878-49841164326Enzo Doria10/2015
1565(10^164284+77)/3164284Robert Price01/2018
15662^545668-4019164263Yves Minet04/2017
156710^164216-50000000001164216Robert Price12/2020
1568(13*53^238539*617^9)/10^247183164151Hans Havermann07/2017
1569(16*10^164122+197)/3164123Robert Price04/2019
15702^545185+76757164118Enzo Doria05/2016
15712^545076-114329164085Enzo Doria01/2015
1572(2*10^164043-143)/3164043Robert Price03/2018
1573(29^112153+1)/30164011Lelio R Paula03/2017
15742^544757+1874777163989Enzo Doria06/2016
15752^544444-457199163894Enzo Doria01/2015
15762^544264-343529163840Enzo Doria07/2015
15777*10^163780+9163781Robert Price09/2015
15782^543989+2793047163758Enzo Doria02/2016
1579(28*10^163709+113)/3163710Robert Price03/2020
15802^542870-69551163421Enzo Doria12/2015
15812^542395+72533163278Enzo Doria04/2016
15822^542072-3683163180Yves Minet03/2017
15832^541779-1867357163092Enzo Doria04/2016
15848*10^162924+9162925Robert Price12/2015
15852^540905+81557162829Enzo Doria08/2016
15862^540628-2939162746Yves Minet09/2014
1587919^54919-918^54919162743Jean-Louis Charton01/2013
1588(203*10^162689+1)/3162691Robert Price03/2020
15893*10^162620-59162621Robert Price09/2018
15903^340694-112960162553Enzo Doria07/2014
15912^539807-114081162499Enzo Doria12/2014
15922^539654-114893162453Enzo Doria05/2015
15939*10^162449-71162450Robert Price11/2020
15942^539617-1851583162441Enzo Doria08/2015
1595(91*10^162410+11)/3162412Robert Price02/2020
15962^539346+81049162360Enzo Doria07/2016
15972^539220-115499162322Enzo Doria07/2015
15982^539217-113713162321Enzo Doria09/2014
15999^170099-8^170099162316Jean-Louis Charton05/2005
16004*10^162263-39162264Robert Price09/2020
1601(115*10^162153-1)/3162155Serge Batalov12/2014
1602(10^162138+11)/3162138Serge Batalov07/2015
16032^538473-112723162097Enzo Doria06/2014
16042^538157+79337162002Enzo Doria06/2016
16052^538136-114749161996Enzo Doria05/2015
16062^538104+1531161986Lelio R Paula01/2013
1607(9*29^110727-1199)/14161927Curtis Bright05/2015
16082^537815-22737161899Enzo Doria07/2013
16092^537804-39839161896Enzo Doria09/2015
1610(754*10^161816-7)/9161818Robert Price05/2020
16112^537458-59201161791Enzo Doria10/2015
16122*10^161766+51161767Robert Price05/2018
1613(7*10^161760+131)/3161761Robert Price06/2020
16142^537209-49849161717Enzo Doria10/2015
1615(58*10^161691+329)/9161692Robert Price05/2019
16162^536937+1879397161635Enzo Doria09/2016
161734*10^161593-9161595Robert Price06/2020
1618(31*10^161582-1)/3161584Robert Price02/2020
16192^536569-22881161524Enzo Doria07/2013
162010^161253+573493161254Patrick De Geest07/2018
162110^161253-8001161253Robert Price03/2018
162297*10^161247-3161249Robert Price05/2020
16237*10^161192-9161193Robert Price10/2015
16242^535269-113803161133Enzo Doria09/2014
16252^535205-23295161113Enzo Doria08/2013
1626(89^82609+1)/90161036Paul Bourdelais10/2017
16272^534359-23229160859Enzo Doria08/2013
16288*10^160782+53160783Robert Price08/2020
162967^88037-66^88037160763Robert Price10/2013
1630(88*10^160761-637)/9160762Robert Price11/2020
16312^533948-1852559160735Enzo Doria08/2015
16322^533665-23335160650Enzo Doria08/2013
1633(19*10^160619+77)/3160620Robert Price05/2019
16343^336353-2^336353160482Mike Oakes10/2007
1635(91*10^160249+11)/3160251Robert Price02/2020
16362^532253+1868417160225Enzo Doria04/2016
16372^532108-291989160181Enzo Doria07/2015
1638(26*10^160166-131)/3160167Robert Price10/2019
1639(17*10^160143+67)/3160144Robert Price01/2019
1640(19*10^159921-49)/3159922Robert Price05/2019
16412^531110-1853771159881Enzo Doria09/2015
1642(275^65536+53^65536)/2159864Kellen Shenton11/2020
16432^530992-1845299159845Enzo Doria07/2015
1644(136*10^159736-1)/9159738Serge Batalov12/2014
16452^530417-113833159672Enzo Doria09/2014
16462^530406-69701159669Enzo Doria02/2016
16475*10^159656+41159657Robert Price03/2019
16487^188858-188858^7159604Norbert Schneider05/2018
1649(24^115597-1)/23159547Paul Bourdelais09/2017
1650(17*10^159438-377)/9159439Robert Price03/2018
1651(203*10^159381+1)/3159383Robert Price03/2020
165289*10^159258-9159260Robert Price05/2020
16532^528944-461315159229Enzo Doria07/2015
1654(13*10^159147+161)/3159148Robert Price11/2018
16552^528620-113879159131Enzo Doria10/2014
16562^528000-23307158944Enzo Doria08/2013
1657(29*10^158909+61)/9158910Robert Price08/2018
16582^527817+1876817158889Enzo Doria07/2016
16592^527774-49451158876Enzo Doria10/2015
16602^527745-291553158868Enzo Doria07/2015
1661(91*10^158862+11)/3158864Robert Price02/2020
16622^527644-1856999158837Enzo Doria10/2015
1663(37200^37199-37198^37199)/(2^37199)158822Henri Lifchitz06/2013
16642^527573-1863253158816Enzo Doria12/2015
16652^527553-23401158810Enzo Doria08/2013
166610^158755-50001158755Robert Price08/2020
166711^152420-210158730Enzo Doria09/2012
1668(13*10^158694+401)/9158695Robert Price01/2018
16692^527052-69059158659Enzo Doria11/2015
16702^526849-113233158598Enzo Doria07/2014
1671(2^526763-lucasV(1,2,526763)+1)/2158572Mike Oakes11/2016
1672(299*10^158544-17)/3158546Robert Price04/2020
16732^526658-3551158540Yves Minet03/2017
16747*10^158465-11158466Robert Price06/2019
16752^526375-23115158455Enzo Doria08/2013
1676(77*10^158407-293)/9158408Robert Price09/2019
16772^526028-112793158351Enzo Doria07/2014
1678(229*10^158339-1)/3158341Robert Price07/2020
16792^525690-9221158249Lelio R Paula01/2013
16802*10^158242-7158243Robert Price10/2015
16812^525667-525667^2158242Henri Lifchitz12/2017
16822^525186-1857431158097Enzo Doria10/2015
16832^524515-23245157895Enzo Doria08/2013
16842^524499-109087157890Enzo Doria04/2014
16852^18067*(2^506221+1)-1157827Makoto Morimoto05/2014
16872^524288+189093157827Makoto Morimoto01/2016
16862^524288-164073157827Matthias Baur03/2020
1688(2^(2^19)-9333)/(19*23*463*1213*31973)157814Makoto Morimoto09/2017
1689(10^157792+359)/9157792Serge Batalov12/2014
16902^523924+1876591157717Enzo Doria07/2016
1691(17*10^157705+67)/3157706Robert Price01/2019
1692(46^94841+1)/47157696Robert Price01/2014
16932^523774+77839157672Enzo Doria05/2016
16942^523587+2799143157616Enzo Doria04/2016
16952^523371+1872113157551Enzo Doria05/2016
1696(8*10^157368+49)/3157369Robert Price05/2020
1697(82*10^157319+449)/9157320Robert Price11/2019
16982^522535-351457157299Enzo Doria07/2015
16992^522226+2799079157206Enzo Doria04/2016
17002^522134-1849451157178Enzo Doria08/2015
17019*10^157152+71157153Robert Price08/2020
17024*10^157150+93157151Robert Price08/2018
17032^521401-29593156958Enzo Doria08/2015
17047*10^156956+87156957Robert Price07/2019
17052^521348-23397156942Enzo Doria08/2013
1706(98^78797+1)/99156901Paul Bourdelais12/2017
170765^86522+64156857Lelio R Paula04/2016
17088^173687-7^173687156855Jean-Louis Charton09/2004
17092^520977-1858183156830Enzo Doria10/2015
1710(8*10^156718-101)/3156719Robert Price08/2018
17112^520314-1849481156631Enzo Doria08/2015
1712(13*10^156522+89)/3156523Robert Price09/2018
1713(2^(6*86654+1)-5)/3156513Kevin Acres12/2013
17143*10^156435-97156436Robert Price07/2018
1715(8*10^156371-77)/3156372Robert Price07/2018
171653^90679-52^90679156356Robert Price01/2013
17172^519106-59141156267Enzo Doria10/2015
17182^519053+6077156251Enzo Doria02/2016
17192^518968-1860989156225Enzo Doria11/2015
1720(25*10^156221-7)/9156222Robert Price05/2018
17212^518931-2782297156214Enzo Doria09/2015
17222^518608-2939156117Yves Minet09/2014
172310*27^109005+697156027Curtis Bright05/2015
17242^517967-113485155924Enzo Doria08/2014
1725(103*10^155904+17)/3155906Robert Price08/2020
17264*10^155853-39155854Robert Price09/2020
17272^517698+4429155843Lelio R Paula01/2013
17282^517543-113257155796Enzo Doria07/2014
1729(14*10^155740-143)/3155741Robert Price11/2018
173031^104309-30^104309155563Henri Lifchitz08/2013
17312^516742-39851155555Enzo Doria09/2015
1732(19*10^155504+131)/3155505Robert Price06/2020
17337*10^155496+61155497Robert Price08/2019
17342^516440+1878421155464Enzo Doria08/2016
17352^515863-1867237155291Enzo Doria03/2016
17362^515786-461861155268Enzo Doria07/2015
17372^515644-113247155225Enzo Doria07/2014
1738(7*10^155203+107)/3155204Robert Price02/2018
173910^155163-40001155163Robert Price01/2021
1740(17*10^155133-89)/9155134Robert Price07/2018
17412^515227-114997155099Enzo Doria06/2015
1743EPrime(155025)155025Eric W. Weisstein10/2010
1742(14*10^155024-221)/9155025Robert Price04/2018
1744(4*10^155022+173)/3155023Robert Price02/2018
1745(266*10^154897+1)/3154899Robert Price04/2020
1746(115*10^154869-1)/3154871Serge Batalov12/2014
1747(86*10^154853-221)/9154854Robert Price09/2019
17482^514361+78167154839Enzo Doria05/2016
17492^514281-115033154815Enzo Doria06/2015
17502^514194-3311154788Yves Minet12/2014


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: January, 25 2021 11:23 (Time in France)

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