PRP Records

Probable Primes Top 10000

(252675 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 ?
925112858^13817-13817^1285856777Norbert Schneider11/2018
925210^56765+25917956766Patrick De Geest09/2013
925310^56765-24949756765Patrick De Geest09/2013
9254t(188706)56764Robert Price04/2015
92552^188551-90432756760Paul Bourdelais11/2012
9257(64*10^56756+17)/956757Robert Price09/2015
9256131101#+14629156757Makoto Morimoto02/2016
92582^188539-11251956756Enzo Doria06/2014
92596^72927+10156749Lelio R Paula10/2012
926020^43617-160356748Enzo Doria03/2013
9261(3^118892-8)/9135892956718Lelio R Paula03/2012
926213339^13748-13748^1333956713Norbert Schneider09/2018
9263(509203*2^188338-1)/356701Lelio R Paula03/2015
926420^43567-562356682Enzo Doria03/2013
92652^188234-11318356665Enzo Doria07/2014
9266(139^26437+1)/14056653Richard Fischer03/2018
9267(7*2^188215-1)/149731512556651Lelio R Paula01/2014
9268(1017*2^188171-1)/3556647Lelio R Paula03/2015
9269(34*10^56647-7)/9/37/26356644Makoto Morimoto04/2016
9270(2^188176-1017)/45381454356638Lelio R Paula02/2012
927133*10^56634+756636Robert Price07/2016
9272(F(31)^9241-F(30)^9241)/F(29)56634Wayne Halsdorf08/2010
927314^49413+3356634Lelio R Paula02/2013
927414240^9483+9483^1424056632Hans Havermann04/2019
927515991^3478+3478^1599156630Hans Havermann04/2019
92773^118680+11056625Lelio R Paula10/2012
9276(13*10^56624+161)/356625Robert Price04/2017
9278(3^118676-2)/751665326356613Lelio R Paula03/2012
9279(13*2^188062+1)/1756613Lelio R Paula07/2012
92802^188056-131356611Yves Minet08/2012
928120^43510-558356608Enzo Doria03/2013
92822^188032+1228556604Lelio R Paula03/2011
9283(19*10^56597-43)/356598Robert Price10/2017
9284(265*10^56588+17)/356590Robert Price05/2016
92852^187959+577556582Lelio R Paula03/2011
9286(5*2^187959+1)/5356581Lelio R Paula07/2012
92873*10^56575-1356576Robert Price11/2017
9288(11*2^187889-1)/35156559Lelio R Paula01/2014
9289(100049^11311+1)/10005056553Faysal YAtim09/2007
9290(19*10^56544-1)/956545Serge Batalov03/2009
929120^43447-892356526Enzo Doria03/2013
929210423^14066-14066^1042356518Norbert Schneider11/2018
92932^187743-11217756517Enzo Doria06/2014
9294(F(5879)^47-F(5878)^47)/F(5877)56502Wayne Halsdorf08/2010
92955^80831-2256499Lelio R Paula10/2012
92965^80828-1316656497Enzo Doria02/2013
92977*2^187590-556472Lelio R Paula03/2014
929816361^2826+2826^1636156465Hans Havermann04/2019
92992^187555+7547356460Enzo Doria04/2016
93002^187541-28356456Yves Minet01/2012
9302(55*10^56453-1)/956454Serge Batalov03/2009
930112933^13730-13730^1293356454Norbert Schneider09/2018
93032^187506-145156445Yves Minet08/2012
9304189^24794-256443Lelio R Paula10/2017
930513600^13653-13653^1360056436Norbert Schneider08/2018
93066^72522+14356434Lelio R Paula10/2012
9307(15185*2^187452-1)/94956430Lelio R Paula03/2015
930815992^3369+3369^1599256412Hans Havermann03/2019
93092^187390+7956411Lelio R Paula03/2011
93102^187386+1290956409Lelio R Paula03/2011
93112^187382+61356408Jason Earls04/2008
931213931^11188+11188^1393156404Hans Havermann04/2019
9313(34*10^56392-7)/9/37/883/2388756384Makoto Morimoto04/2016
931420^43337-956383Lelio R Paula02/2013
9315(26*10^56371-173)/356372Robert Price10/2017
9316(F(1008)^269-F(1007)^269)/F(1006)56364Wayne Halsdorf08/2010
93172^187230+42756362Henri Lifchitz01/2005
931811^54121-948056362Enzo Doria02/2013
931910758^13979-13979^1075856360Norbert Schneider09/2018
932010635^13996-13996^1063556359Norbert Schneider09/2018
9321(21*2^187202-1)/4356354Lelio R Paula01/2014
93222^187173-9156345Lelio R Paula03/2011
9323(23*2^187174-1)/2071988356340Lelio R Paula01/2014
93242^187125-283356331Yves Minet09/2014
93259*7^66655-456331Lelio R Paula09/2014
932618^44874-9756330Lelio R Paula02/2013
932713304^13659-13659^1330456330Norbert Schneider08/2018
932860*79^29679+1956322Serge Batalov03/2016
93295^80571+5656317Lelio R Paula10/2012
93305^80551-2256303Lelio R Paula10/2012
9331(76*10^56281+41)/956282Robert Price10/2015
9332(88*10^56271-43)/956272Robert Price11/2015
93339191^14198-14198^919156272Norbert Schneider02/2019
9334(5*10^56256-119)/356257Robert Price04/2016
93352^186840-447556245Yves Minet03/2019
93361508^17691+17691^150856230Serge Batalov05/2014
93373^117844-5856226Lelio R Paula10/2012
9338(19*10^56224+737)/956225Robert Price10/2017
933995^28427+256221Lelio R Paula05/2013
93402^186713+7681756207Enzo Doria05/2016
934116534^2505+2505^1653456196Hans Havermann06/2016
934214428^7849+7849^1442856195Hans Havermann06/2016
93432*10^56194-5156195Robert Price11/2017
934414898^5909+5909^1489856189Hans Havermann06/2016
934518^44758+9556184Lelio R Paula02/2013
93467478^14503-14503^747856182Norbert Schneider11/2018
93472^186555-74156159Lelio R Paula05/2011
9348(4*10^56156+173)/356157Robert Price01/2017
9350(3^117708+7)/44789656156Lelio R Paula03/2012
934915711^3752+3752^1571156156Hans Havermann06/2016
9351(23*2^186549-1)/242902556152Lelio R Paula01/2014
9352387^21694+21694^38756138Norbert Schneider08/2014
93532^186422+1723956119Yves Minet01/2010
93542^186418+424242956118Jason Earls10/2008
9355136^26300+13556113Norbert Schneider04/2015
93565*2^186392+956111Lelio R Paula03/2014
935714345^8152+8152^1434556108Hans Havermann07/2016
9358(5*2^186351-1)/3956097Lelio R Paula01/2014
93592^186319-54123756088Paul Bourdelais11/2012
93602*10^56083-4356084Robert Price07/2017
9361(16*10^56082-61)/956083Serge Batalov05/2009
9362(14*10^56080-143)/356081Robert Price01/2017
9363(265*10^56076+17)/356078Robert Price05/2016
93647^66346-5056069Lelio R Paula10/2012
936520^43094-3356067Lelio R Paula02/2013
936620^43090-138356062Enzo Doria03/2013
93673^117482+266056054Lelio R Paula10/2012
9368(22699*2^186193+1)/11156052Lelio R Paula05/2014
9369(68*10^56042+13)/956043Ray Chandler09/2010
93703*6^71992+5^7199256022Mike Oakes03/2010
937113691^12352+12352^1369156020Hans Havermann07/2016
9372(2^186095+7)/7556019Lelio R Paula02/2012
9373247^23412+23412^24756018Norbert Schneider08/2014
93741839^17156+17156^183956008Serge Batalov05/2014
937513736^11949+11949^1373656007Hans Havermann04/2016
9376(5*2^186036-1)/1156003Lelio R Paula01/2014
9377(299*10^55998-17)/356000Robert Price01/2017
9378p(12103)#/2-12855994Robert Price05/2017
93802^186003-17433755993Gary Barnes09/2009
9379(2^186010+78557)/12355993Lelio R Paula05/2012
938120^43037-9355993Lelio R Paula02/2013
938216375^2626+2626^1637555991Hans Havermann03/2016
938311083^13842-13842^1108355987Norbert Schneider11/2018
938415631^3816+3816^1563155985Hans Havermann03/2016
938521^42335-255977Lelio R Paula08/2013
9386Phi(64736,139)55959Enzo Doria07/2012
938715215^4762+4762^1521555958Hans Havermann03/2016
938819317^788+788^1931755953Anatoly F. Selevich12/2006
938913582^13165+13165^1358255950Hans Havermann08/2016
9390(78557*2^185842+1)/18955947Lelio R Paula06/2014
939111867^13730-13730^1186755941Norbert Schneider09/2018
939215^47562-8655938Lelio R Paula02/2013
93934*10^55932+9155933Robert Price11/2017
93943^117222+455930Lelio R Paula03/2012
939524^40519-23^4051955925Robert Price07/2012
939613636^12623+12623^1363655924Hans Havermann07/2016
93972^185767-9955922Lelio R Paula03/2011
9398(19*2^185750-1)/1555917Lelio R Paula01/2014
940015^47542-5855914Lelio R Paula02/2013
939952211!4+255914Robert Price08/2017
940120^42973-558355910Enzo Doria03/2013
94024*10^55906+2155907Robert Price08/2016
94032^185713-11155906Lelio R Paula03/2011
940413^50174+8855891Lelio R Paula01/2013
940514569^6846+6846^1456955879Hans Havermann08/2016
9406Pell-LucasQ(145969)/255874Eric W. Weisstein08/2006
94073^117087-8055865Lelio R Paula10/2012
94088384^14237-14237^838455859Norbert Schneider03/2019
9409(7*10^55851-43)/955851Robert Price10/2014
94102^185519-16955847Lelio R Paula03/2011
94117^66074+1055840Lelio R Paula10/2012
9412(19*10^55833-49)/355834Robert Price02/2017
9413(2*10^55834-59)/355834Robert Price05/2017
94142^185463-423755830Yves Minet08/2018
941512^51732+555829Lelio R Paula01/2013
941611252^13779-13779^1125255822Norbert Schneider10/2018
94173*2^185429+755821Lelio R Paula03/2014
9418(60^31393+1)/6155820Paul Bourdelais08/2017
9420(9787*2^185420-1)/38155819Lelio R Paula04/2015
941914427^7396+7396^1442755819Hans Havermann08/2016
942110^55811+2155812Robert Price01/2011
942210^55811-7410355811Patrick De Geest12/2012
942311^53591-153055810Enzo Doria11/2012
9424(5^79841-5^39921+1)/1533415955800Lelio R Paula09/2017
94252^185355-214555798Lelio R Paula03/2011
942614531^6912+6912^1453155794Hans Havermann07/2016
94272^185327-161555789Lelio R Paula03/2011
94282^185280-1277955775Enzo Doria10/2012
942915504^3955+3955^1550455771Hans Havermann07/2016
9430(2*10^55762-59)/355762Robert Price05/2017
94315^79770-4455757Lelio R Paula10/2012
943218^44416-8555755Lelio R Paula02/2013
94332^185208-45999555754Enzo Doria06/2015
94342^185200+118555751Lelio R Paula03/2011
9435(536*10^55748-23)/955750Robert Price11/2017
94367^65964+6^(65964-1)55747Robert Price03/2016
94372^185151-23715755737Gary Barnes09/2009
9438110017^11055-10255734Enzo Doria07/2012
943914754^5987+5987^1475455729Hans Havermann07/2016
944012591^13592-13592^1259155729Norbert Schneider07/2018
944140090!3-955711Robert Price09/2014
94429*10^55707+8955708Robert Price11/2016
94432^185023-225755698Yves Minet06/2009
944418628^977+977^1862855696Anatoly F. Selevich01/2007
94452^185006-9355693Lelio R Paula03/2011
94462^185003-251555692Yves Minet07/2014
94472^184992-7855755689Jorge Menendez02/2018
94483*10^55679+3755680Robert Price10/2017
94496^71524-1955657Lelio R Paula10/2012
94502^184872-219555653Yves Minet08/2013
9451507^20572+20572^50755648Norbert Schneider06/2016
9452(86*10^55645-311)/955646Robert Price10/2017
9453134^26151-13355626Norbert Schneider03/2015
945415340^4221+4221^1534055614Hans Havermann07/2016
945527743!2+255612Robert Price01/2013
945620^42744+8155612Lelio R Paula02/2013
945714609^6406+6406^1460955611Hans Havermann07/2016
94582^184724-11288355608Enzo Doria06/2014
945913507^13074+13074^1350755601Hans Havermann07/2016
94602^184689+12955597Lelio R Paula03/2011
9461(9179*2^184672-1)/19355594Lelio R Paula03/2015
9462(22*10^55592-19)/355593Robert Price02/2017
9463Phi(59984,89)55582Enzo Doria05/2012
94648815^14088-14088^881555581Norbert Schneider11/2018
946511^53368+1655578Lelio R Paula01/2013
946620^42717-192355577Enzo Doria03/2013
9467117^26870+26870^11755573Serge Batalov05/2014
946812^51488+5555565Lelio R Paula01/2013
9469(44*10^55558-17)/955559Robert Price06/2015
9470(2*10^55559-23)/355559Robert Price09/2017
947110^55555+3285755556Patrick De Geest06/2010
947210^55555-13672155555Patrick De Geest06/2010
9473(11*2^184541-1)/35155551Lelio R Paula01/2014
947420^42696-204355549Enzo Doria03/2013
9475(35*10^55547-737)/955548Robert Price11/2017
9476(2*10^55544+1)/355544Serge Batalov06/2009
9477(-lucasV(1,2,369056)+2)/(3*89*109*457)55542Mike Oakes04/2017
94785003^15013-16055537Enzo Doria07/2012
947939^34896-255522Lelio R Paula08/2013
9480(6^71345-61)/555517Lelio R Paula05/2014
94812^184407-301955513Yves Minet10/2014
9482(43*10^55512-61)/955513Robert Price06/2015
948320^42667-84355512Enzo Doria03/2013
9484133^26134-13255505Norbert Schneider03/2015
9485(31*2^184378-1)/71155502Lelio R Paula01/2014
94869*7^65667-455497Lelio R Paula09/2014
94872^184342-17355493Lelio R Paula03/2011
948815^47182+9255491Lelio R Paula02/2013
94895^79378+655483Lelio R Paula10/2012
9490581^20068+20068^58155472Norbert Schneider06/2016
9491(2^184232+1)/25755457Donovan Johnson03/2005
949218^44177-141555455Enzo Doria03/2013
94932^184203-279786755451Enzo Doria04/2016
94942^184189+1755447Lelio R Paula03/2011
94952^184183+2612355445Yves Minet01/2010
9496Phi(77077,10)55441Ray Chandler05/2009
94972^184141-11325155432Enzo Doria07/2014
94982^184093-50461355418Gary Barnes09/2009
94996517^14528-14528^651755411Norbert Schneider12/2018
9500(lucasV(1,2,368167)+2)/(11*1103*1307*5647)55404Mike Oakes04/2017


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: April, 20 2019 09:21 (Time in France)

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