PRP Records

Probable Primes Top 10000

(280932 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 ?
95012^253060+5461576179Lelio R Paula05/2013
9502(2^253049+3966)/276176Stefano Morozzi01/2020
95032^253029+186976176170Enzo Doria05/2016
9504(2^253028+1906)/276169Stefano Morozzi01/2020
9505(1078^25111-1)/107776150Serge Batalov08/2020
95062^252955-11100776148Enzo Doria05/2014
95072*5^108931+776140Lelio R Paula10/2014
9508(86*10^76128+121)/976129Robert Price03/2017
950922154*29^52050+976123Curtis Bright05/2015
951018915^10574+10574^1891576119Hans Havermann01/2020
95113^159530-11235876116Enzo Doria06/2014
951211^73089-4876115Lelio R Paula02/2015
951386^39337-8576098Norbert Schneider10/2015
9514(3^159505-7)/31329731676095Lelio R Paula06/2012
95156^97783+7776090Lelio R Paula01/2015
9516(5*10^76083-179)/376084Robert Price10/2020
9517(2^252716+1842)/276075Stefano Morozzi01/2020
95182^252712-10576074Lelio R Paula03/2012
9519(10^76069-19)/976069Robert Price10/2017
9522131^35927+276068Lelio R Paula05/2013
9520(41*10^76067+373)/976068Robert Price04/2017
9521(10807^18859-1)/1080676068Serge Batalov08/2020
95232^252683-13976066Lelio R Paula03/2012
9524137^35597-13676061Norbert Schneider05/2015
95253^159413+10676060Lelio R Paula01/2015
9526(2^252593+1682)/276038Stefano Morozzi01/2020
95279^79677+3*8^79677-2*4^79677-3*2^7967776032Mike Oakes12/2010
9528(6716^19867-1)/671576030Serge Batalov08/2020
952922235^2626+2626^2223576029Hans Havermann12/2019
9530(2^252557-9)/7176026Lelio R Paula07/2012
9532(85*10^76021-103)/976022Robert Price10/2017
9531(2^252539+2690)/276022Stefano Morozzi01/2020
953311^72989+8076011Lelio R Paula02/2015
953499877!6-3675996Robert Price11/2018
95352^252449-45952375995Enzo Doria05/2015
953620^58408+7375991Lelio R Paula01/2015
95372^252418-142175986Yves Minet01/2013
9538(11*2^252396-1)/575980Lelio R Paula02/2014
953920871^4366+4366^2087175973Hans Havermann01/2020
95402^252365-11068975970Enzo Doria05/2014
954111^72949-102075969Enzo Doria11/2012
9542(2^252335+2394)/275961Stefano Morozzi01/2020
9543(2^252294+47)/654975945Lelio R Paula07/2012
9544(166*10^75941-7)/375943Robert Price11/2020
95452^252261-11059575939Enzo Doria05/2014
95467^89853+7675935Lelio R Paula01/2015
9547(3043^21799-1)/304275930Serge Batalov08/2020
95483^159132+5675926Lelio R Paula01/2015
9549730^26513+26513^73075916Norbert Schneider11/2016
95507*10^75911-5775912Robert Price06/2020
9551(27*2^252163-1)/194575907Lelio R Paula01/2014
95525^108596-1484675906Enzo Doria02/2013
9553(1377^24179-1)/137675894Serge Batalov07/2020
9554(2^252082+2734)/275884Stefano Morozzi01/2020
95555^108560-1484675881Enzo Doria02/2013
95562^252051-11035975875Enzo Doria05/2014
95572^251971-11050975851Enzo Doria05/2014
9558(42457^16384+1)/32768275819Lelio R Paula11/2011
95592^251842-471575812Yves Minet05/2019
956099655!6-275811Robert Price07/2017
9561(2^251823+3290)/275806Stefano Morozzi01/2020
956214*10^75798+108975800Jens K. Andersen11/2007
95632^251784-45575795Yves Minet03/2012
95642^251780-128975794Yves Minet01/2013
95652^251760-21560975788Paul Bourdelais03/2013
956621947^2838+2838^2194775784Hans Havermann01/2020
956799^37973+275781Lelio R Paula05/2013
9568(185*10^75777+7)/375779Robert Price02/2017
95695*2^251690+375767Lelio R Paula06/2014
95706^97366+9575766Lelio R Paula01/2015
9571(4742^20611-1)/474175762Serge Batalov08/2020
9572s(23010)75760Hans Havermann11/2017
9573(2^251666+1882)/275759Stefano Morozzi01/2020
95748*6^97337-775744Lelio R Paula10/2014
957524045^1412+1412^2404575738Hans Havermann01/2020
95762^251588-11167775736Enzo Doria05/2014
9577(2^251580+2086)/275733Stefano Morozzi01/2020
95785^108346-1325675731Enzo Doria02/2013
9579(2^251570+1182)/275730Stefano Morozzi01/2020
9580(31^50777+1)/3275726Robert Price07/2013
9581(10^75707+77)/375707Robert Price01/2017
9582(174907#+1673)/(7*239*15467899)75700Makoto Morimoto10/2017
95832^251466+19375699Lelio R Paula03/2012
9584(2^251463+1338)/275698Stefano Morozzi01/2020
9585(5*2^251464+1)/942375695Lelio R Paula07/2012
95862^251422-10999175686Enzo Doria04/2014
958791*(10^23+1)*(10^1721+1)*(10^118749+1)/(10^69+1)/(10^5163+1)/(10^39583+1)75680Makoto Kamada03/2019
9588(2^251355+3806)/275666Stefano Morozzi01/2020
9589(2^251347+1278)/275663Stefano Morozzi01/2020
95904*5^108245-375661Lelio R Paula10/2014
9591(25*10^75653+143)/375654Robert Price08/2020
9592(2^251261+846)/275637Stefano Morozzi01/2020
9593(2^251195+3770)/275617Stefano Morozzi01/2020
959412^70067-11^7006775615Jean-Louis Charton11/2006
959512^70066+9575614Lelio R Paula02/2015
9596(2^251181+1130)/275613Stefano Morozzi01/2020
9597-E20534/206375607Thomas Ritschel02/2017
959819^59120-5075600Lelio R Paula01/2015
959918^60222-469775596Enzo Doria03/2013
960018^60211-435575582Enzo Doria03/2013
96017*2^251014-975564Lelio R Paula06/2014
96026^97101-2575560Lelio R Paula01/2015
96038^83663-7^8366375556Jean-Louis Charton01/2004
9604(2^250974+3838)/275551Stefano Morozzi01/2020
96053^158331-14075544Lelio R Paula01/2015
9606(12235^18481-1)/1223475539Serge Batalov08/2020
9607(29*10^75532-107)/375533Robert Price08/2020
9610(37^48157-1)/3675519Robert Price03/2012
9609(19*10^75518-43)/375519Robert Price10/2017
96082^250868-422975519Yves Minet08/2018
961110^75516+3146775517Patrick De Geest03/2016
961310^75516-10^2256-175516Serge Batalov01/2011
961210^75516-6659175516Patrick De Geest03/2016
96142^250851-18775514Lelio R Paula03/2012
9615(2^250836+466)/275509Stefano Morozzi01/2020
961622273^2454+2454^2227375503Hans Havermann01/2020
9617(43*10^75498-7)/975499Robert Price12/2014
9618(3^158244-5)/24791675497Lelio R Paula06/2012
96194*5^107971-375470Lelio R Paula10/2014
9620(25*10^75465+71)/375466Robert Price01/2017
9621(2^250690+1222)/275465Stefano Morozzi01/2020
9623(5*2^250681-1)/99975461Lelio R Paula01/2014
9622(2^250674+1354)/275461Stefano Morozzi01/2020
9624(2^250670+1878)/275459Stefano Morozzi01/2020
9625(182*10^75456+1)/375458Robert Price02/2017
9626(2^250669-9)/9889772975451Lelio R Paula07/2012
9627(14583^18121-1)/1458275449Serge Batalov08/2020
962810^75441+1375442Robert Price01/2011
962910^75441-992375441Patrick De Geest05/2013
9630(27*2^250546-1)/645775420Lelio R Paula01/2014
96315*7^89231-675410Lelio R Paula10/2014
96332^250503-1699575409Lelio R Paula05/2013
963211^72411-2875409Lelio R Paula02/2015
96343*5^107860-875392Lelio R Paula10/2014
9635(34*10^75387-403)/975388Robert Price10/2017
96382^250426+2983575386Lelio R Paula05/2013
96368*3^157999-775386Lelio R Paula05/2014
9637(15671^17971-1)/1567075386Serge Batalov08/2020
9639(2^250417+2642)/275383Stefano Morozzi01/2020
9640(88*10^75381-43)/975382Robert Price11/2015
9641(2^250394+2902)/275376Stefano Morozzi01/2020
96422^250382-11175575373Enzo Doria05/2014
96432^250374-279805175371Eric Chen03/2016
9644(22*10^75368-1)/375369Robert Price12/2014
96452^250369-454375369Yves Minet03/2019
964620078^5667+5667^2007875360Hans Havermann02/2020
9647(2^250318+2242)/275353Stefano Morozzi01/2020
9648(21398^17401-1)/2139775349Serge Batalov08/2020
9650(19*10^75338+119)/375339Robert Price02/2017
964921517^3172+3172^2151775339Hans Havermann01/2020
96512^250223-185916775325Enzo Doria03/2016
9652(3^157854-7)/6602528275308Lelio R Paula06/2012
9653(2^250164+1578)/275307Stefano Morozzi01/2020
96543^157831-9875305Lelio R Paula01/2015
9655(46^45281+11^45281)/5775290Serge Batalov12/2016
965692^38335-9175282Norbert Schneider01/2016
9657(2^250026+2398)/275266Stefano Morozzi01/2020
96582^250020+1891575264Lelio R Paula05/2013
96592^250002+819375259Lelio R Paula05/2013
9660(2^249996+1678)/275256Stefano Morozzi01/2020
9661(11*2^249977-7)/1575251Renaud Lifchitz02/2011
9662(2^249968+78557)/6375247Lelio R Paula07/2012
9663(5*10^75244+91)/375245Robert Price11/2016
9664(10489!)^2+Prime(10489)75242Robert Price08/2014
966514^65644+6775237Lelio R Paula01/2015
966668383!4+3275236Robert Price09/2019
9667(2^249928-5)/1185905975229Lelio R Paula06/2012
9668129^35638+275218Lelio R Paula05/2013
96692^249853-11047575214Enzo Doria05/2014
9670(5704^20021-1)/570375199Serge Batalov08/2020
967120574^4517+4517^2057475195Hans Havermann01/2020
9672(11720^18481-1)/1171975194Serge Batalov08/2020
96732^249762+7540975186Enzo Doria04/2016
9674565^27318+27318^56575181Norbert Schneider12/2016
9675(2^249741-7)/68575177Lelio R Paula06/2012
96762^249726-11218175176Enzo Doria06/2014
96772^249721+1171575174Lelio R Paula05/2013
9678(2^249705+654)/275169Stefano Morozzi01/2020
9680(38661^16384+1)/275158Lelio R Paula11/2011
9679(15220^17971-1)/1521975158Serge Batalov08/2020
96812^249658-4735575155Lelio R Paula05/2013
9682155^34311+275153Lelio R Paula05/2013
9683(10^87682+1)/(10^12526+1)/99009900990175145Maksym Voznyy06/2015
9684(23*2^249602+1)/9375138Lelio R Paula08/2012
96852^249522+841575114Lelio R Paula05/2013
96862^249489-11091175104Enzo Doria05/2014
9687(28*10^75078+131)/375079Robert Price02/2017
9688(206*10^75073-17)/975075Robert Price03/2017
9689(2^249384+3330)/275072Stefano Morozzi01/2020
9690(5947^19891-1)/594675071Serge Batalov08/2020
96912^249368-11057375068Enzo Doria05/2014
9692NaturalLogarithmOf10(75067)75067Eric W. Weisstein10/2015
969319167^8248+8248^1916775065Hans Havermann02/2020
9694(2^249375+78557)/4505612575062Lelio R Paula07/2012
9695(26*10^75055-173)/375056Robert Price10/2017
96972^249272+19375039Lelio R Paula03/2012
969617433^17692-17692^1743375039Norbert Schneider11/2019
969814^65468+4375035Lelio R Paula01/2015
969937^47844+3675030Norbert Schneider05/2014
9700(52*10^75027-7)/975028Robert Price12/2014
970117943^15178+15178^1794375024Hans Havermann02/2020
9702(2^249219+494)/275023Stefano Morozzi01/2020
970320^57653+8975009Lelio R Paula01/2015
970410^75000+564975001Patrick De Geest02/2021
970510^75000-25233975000Patrick De Geest02/2021
9706(2^249084+2682)/274982Stefano Morozzi01/2020
97072^249061-186835374975Enzo Doria04/2016
9708(2^249056+1006)/274974Stefano Morozzi01/2020
97097^88713+2*3^8871374972Mike Oakes07/2010
971018325^12334+12334^1832574970Hans Havermann02/2020
97112*6^96313+574947Lelio R Paula10/2014
9713(8*10^74944+49)/374945Robert Price03/2016
9712(1258^24179-1)/125774945Serge Batalov07/2020
9714300^30247+30247^30074926Norbert Schneider11/2014
97152^248866-17174917Lelio R Paula03/2012
9716(714^26251-1)/71374910Serge Batalov08/2020
97176*5^107168-774908Lelio R Paula10/2014
971811^71926+7874904Lelio R Paula02/2015
97192^248824+186939174904Enzo Doria05/2016
97202^248816+111174902Lelio R Paula01/2011
9721V(388219)74890Serge Batalov03/2015
9722159^34017+15874885Norbert Schneider12/2018
97232*F(358297)-174880Henri Lifchitz12/2009
9724(22*10^74874-31)/974875Robert Price04/2015
972511^71892-7680000074868Enzo Doria01/2013
97269*5^107107-474866Lelio R Paula10/2014
97272^248678-71011174860Paul Bourdelais03/2013
9728(14*10^74858+211)/974859Robert Price11/2017
972913^67194+1274851Lelio R Paula01/2015
9730(7*2^248634+1)/7174846Lelio R Paula08/2012
973111^71867-309074842Enzo Doria12/2012
973268057!4-1674841Robert Price11/2019
97332^248609+26214574839Lelio R Paula05/2013
97343^156852+5074838Lelio R Paula01/2015
973518^59607-1174824Lelio R Paula01/2015
97362^248556-11050774823Enzo Doria05/2014
97377^88531-3674818Lelio R Paula01/2015
9738p(15738)#/2+102474814Robert Price07/2017
9739(2^248505+422)/274808Stefano Morozzi01/2020
9740(2^248507+1938)/274808Stefano Morozzi01/2020
974121137^3454+3454^2113774790Hans Havermann11/2019
97424*3^156740-574785Lelio R Paula05/2014
974317918^14907+14907^1791874779Hans Havermann12/2019
9744(32*10^74773-41)/974774Robert Price05/2015
9745(29*2^248384-1)/1374772Lelio R Paula01/2014
974619401!+19401#+174765D. Gazzoni Filho & Lucas Teixeira06/2005
97472^248357-1279741374763Enzo Doria03/2016
974842^46057+4174762Lelio R Paula07/2012
9749(2^248339+1686)/274758Stefano Morozzi01/2020
975011^71784-300074756Enzo Doria12/2012


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: April, 13 2021 12:02 (Time in France)

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