PRP Records

Probable Primes Top 10000

(212140 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 (> 30000) Who ? When ?
575114^66723-3776474Lelio R Paula02/2015
57522^254037-11030576473Enzo Doria05/2014
57532^253931-11110976441Enzo Doria05/2014
57542^253926-116776440Lelio R Paula05/2013
5755(49*10^76438-13)/976439Robert Price07/2015
5756(21*2^253845-1)/14376415Lelio R Paula02/2014
575710^76374+3176375Robert Price03/2011
575810^76374-22215976374Patrick De Geest05/2013
57592^253561-11053376330Enzo Doria05/2014
5760gcd(V(917285),5*F(183457)*(F(183457)+1)+1)76321Serge Batalov04/2015
57619*5^109182+276316Lelio R Paula10/2014
576211^73279-369076313Enzo Doria12/2012
5763(598*10^76309-31)/976311Robert Price02/2017
576411^73274-2400076308Enzo Doria12/2012
57657^90291-676305Theodore Burton11/2005
5766(21181*2^253432+1)/2143776291Lelio R Paula06/2014
57676^98025+14576279Lelio R Paula01/2015
57682^253355+115576268Lelio R Paula05/2013
5769(73*10^76262+413)/976263Robert Price10/2017
57702^253292-7121976249Enzo Doria04/2016
57717^90221-3676246Lelio R Paula02/2015
577218^60727-347376229Enzo Doria03/2013
5773(78557*2^253184+1)/376221Lelio R Paula06/2014
5774(8*10^76220-83)/376221Robert Price10/2017
5775(44791^20480+1)/(44791^4096+1)76206Serge Batalov01/2017
577611^73163-201076192Enzo Doria12/2012
57772^253060+5461576179Lelio R Paula05/2013
57782^253029+186976176170Enzo Doria05/2016
57792^252955-11100776148Enzo Doria05/2014
57802*5^108931+776140Lelio R Paula10/2014
5781(86*10^76128+121)/976129Robert Price03/2017
578222154*29^52050+976123Curtis Bright05/2015
57833^159530-11235876116Enzo Doria06/2014
578411^73089-4876115Lelio R Paula02/2015
578586^39337-8576098Norbert Schneider10/2015
5786(3^159505-7)/31329731676095Lelio R Paula06/2012
57876^97783+7776090Lelio R Paula01/2015
57882^252712-10576074Lelio R Paula03/2012
5789(10^76069-19)/976069Robert Price10/2017
5791131^35927+276068Lelio R Paula05/2013
5790(41*10^76067+373)/976068Robert Price04/2017
57922^252683-13976066Lelio R Paula03/2012
5793137^35597-13676061Norbert Schneider05/2015
57943^159413+10676060Lelio R Paula01/2015
57959^79677+3*8^79677-2*4^79677-3*2^7967776032Mike Oakes12/2010
5796(2^252557-9)/7176026Lelio R Paula07/2012
5797(85*10^76021-103)/976022Robert Price10/2017
579811^72989+8076011Lelio R Paula02/2015
57992^252449-45952375995Enzo Doria05/2015
580020^58408+7375991Lelio R Paula01/2015
58012^252418-142175986Yves Minet01/2013
5802(11*2^252396-1)/575980Lelio R Paula02/2014
58032^252365-11068975970Enzo Doria05/2014
580411^72949-102075969Enzo Doria11/2012
5805(2^252294+47)/654975945Lelio R Paula07/2012
58062^252261-11059575939Enzo Doria05/2014
58077^89853+7675935Lelio R Paula01/2015
58083^159132+5675926Lelio R Paula01/2015
5809730^26513+26513^73075916Norbert Schneider11/2016
5810(27*2^252163-1)/194575907Lelio R Paula01/2014
58115^108596-1484675906Enzo Doria02/2013
58125^108560-1484675881Enzo Doria02/2013
58132^252051-11035975875Enzo Doria05/2014
58142^251971-11050975851Enzo Doria05/2014
5815(42457^16384+1)/32768275819Lelio R Paula11/2011
581699655!6-275811Robert Price07/2017
581714*10^75798+108975800Jens K. Andersen11/2007
58182^251784-45575795Yves Minet03/2012
58192^251780-128975794Yves Minet01/2013
58202^251760-21560975788Paul Bourdelais03/2013
582199^37973+275781Lelio R Paula05/2013
5822(185*10^75777+7)/375779Robert Price02/2017
58235*2^251690+375767Lelio R Paula06/2014
58246^97366+9575766Lelio R Paula01/2015
5825s(23010)75760Hans Havermann11/2017
58268*6^97337-775744Lelio R Paula10/2014
58272^251588-11167775736Enzo Doria05/2014
58285^108346-1325675731Enzo Doria02/2013
5829(31^50777+1)/3275726Robert Price07/2013
5830(10^75707+77)/375707Robert Price01/2017
5831(174907#+1673)/(7*239*15467899)75700Makoto Morimoto10/2017
58322^251466+19375699Lelio R Paula03/2012
5833(5*2^251464+1)/942375695Lelio R Paula07/2012
58342^251422-10999175686Enzo Doria04/2014
58354*5^108245-375661Lelio R Paula10/2014
583612^70067-11^7006775615Jean-Louis Charton11/2006
583712^70066+9575614Lelio R Paula02/2015
5838-E20534/206375607Thomas Ritschel02/2017
583919^59120-5075600Lelio R Paula01/2015
584018^60222-469775596Enzo Doria03/2013
584118^60211-435575582Enzo Doria03/2013
58427*2^251014-975564Lelio R Paula06/2014
58436^97101-2575560Lelio R Paula01/2015
58448^83663-7^8366375556Jean-Louis Charton01/2004
58453^158331-14075544Lelio R Paula01/2015
5846(37^48157-1)/3675519Robert Price03/2012
5847(19*10^75518-43)/375519Robert Price10/2017
584810^75516+3146775517Patrick De Geest03/2016
585010^75516-10^2256-175516Serge Batalov01/2011
584910^75516-6659175516Patrick De Geest03/2016
58512^250851-18775514Lelio R Paula03/2012
5852(43*10^75498-7)/975499Robert Price12/2014
5853(3^158244-5)/24791675497Lelio R Paula06/2012
58544*5^107971-375470Lelio R Paula10/2014
5855(25*10^75465+71)/375466Robert Price01/2017
5856(5*2^250681-1)/99975461Lelio R Paula01/2014
5857(182*10^75456+1)/375458Robert Price02/2017
5858(2^250669-9)/9889772975451Lelio R Paula07/2012
585910^75441+1375442Robert Price01/2011
586010^75441-992375441Patrick De Geest05/2013
5861(27*2^250546-1)/645775420Lelio R Paula01/2014
58625*7^89231-675410Lelio R Paula10/2014
58642^250503-1699575409Lelio R Paula05/2013
586311^72411-2875409Lelio R Paula02/2015
58653*5^107860-875392Lelio R Paula10/2014
5866(34*10^75387-403)/975388Robert Price10/2017
58682^250426+2983575386Lelio R Paula05/2013
58678*3^157999-775386Lelio R Paula05/2014
5869(88*10^75381-43)/975382Robert Price11/2015
58702^250382-11175575373Enzo Doria05/2014
58712^250374-279805175371Eric Chen03/2016
5872(22*10^75368-1)/375369Robert Price12/2014
5873(19*10^75338+119)/375339Robert Price02/2017
58742^250223-185916775325Enzo Doria03/2016
5875(3^157854-7)/6602528275308Lelio R Paula06/2012
58763^157831-9875305Lelio R Paula01/2015
5877(46^45281+11^45281)/5775290Serge Batalov12/2016
587892^38335-9175282Norbert Schneider01/2016
58792^250020+1891575264Lelio R Paula05/2013
58802^250002+819375259Lelio R Paula05/2013
5881(11*2^249977-7)/1575251Renaud Lifchitz02/2011
5882(2^249968+78557)/6375247Lelio R Paula07/2012
5883(5*10^75244+91)/375245Robert Price11/2016
5884(10489!)^2+Prime(10489)75242Robert Price08/2014
588514^65644+6775237Lelio R Paula01/2015
5886(2^249928-5)/1185905975229Lelio R Paula06/2012
5887129^35638+275218Lelio R Paula05/2013
58882^249853-11047575214Enzo Doria05/2014
58892^249762+7540975186Enzo Doria04/2016
5890565^27318+27318^56575181Norbert Schneider12/2016
5891(2^249741-7)/68575177Lelio R Paula06/2012
58922^249726-11218175176Enzo Doria06/2014
58932^249721+1171575174Lelio R Paula05/2013
5894(38661^16384+1)/275158Lelio R Paula11/2011
58952^249658-4735575155Lelio R Paula05/2013
5896155^34311+275153Lelio R Paula05/2013
5897(10^87682+1)/(10^12526+1)/99009900990175145Maksym Voznyy06/2015
5898(23*2^249602+1)/9375138Lelio R Paula08/2012
58992^249522+841575114Lelio R Paula05/2013
59002^249489-11091175104Enzo Doria05/2014
5901(28*10^75078+131)/375079Robert Price02/2017
5902(206*10^75073-17)/975075Robert Price03/2017
59032^249368-11057375068Enzo Doria05/2014
5904NaturalLogarithmOf10(75067)75067Eric W. Weisstein10/2015
5905(2^249375+78557)/4505612575062Lelio R Paula07/2012
5906(26*10^75055-173)/375056Robert Price10/2017
59072^249272+19375039Lelio R Paula03/2012
590814^65468+4375035Lelio R Paula01/2015
590937^47844+3675030Norbert Schneider05/2014
5910(52*10^75027-7)/975028Robert Price12/2014
591120^57653+8975009Lelio R Paula01/2015
59122^249061-186835374975Enzo Doria04/2016
59137^88713+2*3^8871374972Mike Oakes07/2010
59142*6^96313+574947Lelio R Paula10/2014
5915(8*10^74944+49)/374945Robert Price03/2016
5916300^30247+30247^30074926Norbert Schneider11/2014
59172^248866-17174917Lelio R Paula03/2012
59186*5^107168-774908Lelio R Paula10/2014
591911^71926+7874904Lelio R Paula02/2015
59202^248824+186939174904Enzo Doria05/2016
59212^248816+111174902Lelio R Paula01/2011
5922V(388219)74890Serge Batalov03/2015
59232*F(358297)-174880Henri Lifchitz12/2009
5924(22*10^74874-31)/974875Robert Price04/2015
592511^71892-7680000074868Enzo Doria01/2013
59269*5^107107-474866Lelio R Paula10/2014
59272^248678-71011174860Paul Bourdelais03/2013
5928(14*10^74858+211)/974859Robert Price11/2017
592913^67194+1274851Lelio R Paula01/2015
5930(7*2^248634+1)/7174846Lelio R Paula08/2012
593111^71867-309074842Enzo Doria12/2012
59322^248609+26214574839Lelio R Paula05/2013
59333^156852+5074838Lelio R Paula01/2015
593418^59607-1174824Lelio R Paula01/2015
59352^248556-11050774823Enzo Doria05/2014
59367^88531-3674818Lelio R Paula01/2015
5937p(15738)#/2+102474814Robert Price07/2017
59384*3^156740-574785Lelio R Paula05/2014
5939(32*10^74773-41)/974774Robert Price05/2015
5940(29*2^248384-1)/1374772Lelio R Paula01/2014
594119401!+19401#+174765D. Gazzoni Filho & Lucas Teixeira06/2005
59422^248357-1279741374763Enzo Doria03/2016
594342^46057+4174762Lelio R Paula07/2012
594411^71784-300074756Enzo Doria12/2012
594519^58458+1874754Lelio R Paula01/2015
594612^69265-3574750Lelio R Paula02/2015
594711^71771-4800074742Enzo Doria12/2012
5948(7*10^74741+197)/374742Robert Price07/2017
5949(2^248282-5)/5012974736Lelio R Paula06/2012
59502^248252-11010574732Enzo Doria04/2014
5951(7*10^74729+71)/374730Robert Price03/2016
59523^156614-5074724Lelio R Paula01/2015
5953(7*2^248213+1)/13574719Lelio R Paula07/2012
5954(2^248173+78557)/76774705Lelio R Paula07/2012
5955125^35622+12474697Norbert Schneider02/2015
5956(19*2^248099-1)/2974686Lelio R Paula01/2014
5957(86*10^74676-41)/974677Robert Price11/2015
5958(p(15711)#-4)/274672Robert Price09/2017
595910^74670+3174671Robert Price01/2011
596010^74670-12246374670Patrick De Geest05/2013
59612^248036-6974667Lelio R Paula03/2012
596211^71698-600074666Enzo Doria12/2012
596358*(10^(3*24887)-1)/111-174661Robert Price10/2014
596414^65139-4574658Lelio R Paula01/2015
59656^95921-13374642Lelio R Paula01/2015
596611^71675+7874642Lelio R Paula02/2015
596718^59449-9174625Lelio R Paula01/2015
59686^95864-1604374597Enzo Doria02/2013
59695*7^88261+674590Lelio R Paula10/2014
59709*5^106710+474589Lelio R Paula10/2014
5971(777*2^247788+1)/(11*754121)74588Jens K. Andersen09/2007
5972(265*10^74579+17)/374581Robert Price05/2016
5973(2^247759-1017)/331831171774574Lelio R Paula07/2012
59745^106682-2474568Lelio R Paula08/2014
5975474^27863+27863^47474556Norbert Schneider01/2017
5976(14*10^74540+79)/374541Robert Price11/2017
5977(35365^16384+1)/274524Lelio R Paula11/2011
59783^156161+266074508Lelio R Paula01/2015
59792^247474-5869574498Lelio R Paula05/2013
598011^71519-9074480Enzo Doria07/2012
5981(19*2^247419-1)/2320298374475Lelio R Paula01/2014
5983(2^247394-7)/374473Lelio R Paula06/2012
598218^59328+1774473Lelio R Paula01/2015
59842^247379-18174469Lelio R Paula03/2012
5985(15*2^247370-1)/47974465Lelio R Paula01/2014
59862^247344+204774458Lelio R Paula05/2013
59872^247311-101774449Lelio R Paula05/2013
59882^247280+774439Lelio R Paula03/2012
5989(68*10^74434+13)/974435Ray Chandler11/2010
59903^156004-6274433Lelio R Paula01/2015
599136095!2-6474416Robert Price06/2015
59922^247165-374405M. Frind & P. Underwood07/2002
59932^247150+3276974400Lelio R Paula05/2013
599412^68911+7374368Lelio R Paula01/2015
59952^246999+7490374355Enzo Doria04/2016
59962^246989-11064374352Enzo Doria05/2014
599710^74350+27943974351Patrick De Geest07/2017
6000(10^74350+11)/374350Robert Price11/2014
599810^74350-40000000174350Robert Price07/2017
599910^74350-71624174350Patrick De Geest07/2017


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: June, 20 2018 08:38 (Time in France)

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