PRP Records

Probable Primes Top 10000

(252932 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 ?
9501189^24794-256443Lelio R Paula10/2017
950213600^13653-13653^1360056436Norbert Schneider08/2018
95036^72522+14356434Lelio R Paula10/2012
9504(15185*2^187452-1)/94956430Lelio R Paula03/2015
950515992^3369+3369^1599256412Hans Havermann03/2019
95062^187390+7956411Lelio R Paula03/2011
95072^187386+1290956409Lelio R Paula03/2011
95082^187382+61356408Jason Earls04/2008
950913931^11188+11188^1393156404Hans Havermann04/2019
9510(34*10^56392-7)/9/37/883/2388756384Makoto Morimoto04/2016
951120^43337-956383Lelio R Paula02/2013
9512(26*10^56371-173)/356372Robert Price10/2017
9513(F(1008)^269-F(1007)^269)/F(1006)56364Wayne Halsdorf08/2010
95152^187230+42756362Henri Lifchitz01/2005
951411^54121-948056362Enzo Doria02/2013
951610758^13979-13979^1075856360Norbert Schneider09/2018
951710635^13996-13996^1063556359Norbert Schneider09/2018
9518(21*2^187202-1)/4356354Lelio R Paula01/2014
95192^187173-9156345Lelio R Paula03/2011
9520(23*2^187174-1)/2071988356340Lelio R Paula01/2014
95212^187125-283356331Yves Minet09/2014
95229*7^66655-456331Lelio R Paula09/2014
952418^44874-9756330Lelio R Paula02/2013
952313304^13659-13659^1330456330Norbert Schneider08/2018
952560*79^29679+1956322Serge Batalov03/2016
95265^80571+5656317Lelio R Paula10/2012
95275^80551-2256303Lelio R Paula10/2012
9528(76*10^56281+41)/956282Robert Price10/2015
9529(88*10^56271-43)/956272Robert Price11/2015
95309191^14198-14198^919156272Norbert Schneider02/2019
9531(5*10^56256-119)/356257Robert Price04/2016
95322^186840-447556245Yves Minet03/2019
95331508^17691+17691^150856230Serge Batalov05/2014
95343^117844-5856226Lelio R Paula10/2012
9535(19*10^56224+737)/956225Robert Price10/2017
953695^28427+256221Lelio R Paula05/2013
95372^186713+7681756207Enzo Doria05/2016
953816534^2505+2505^1653456196Hans Havermann06/2016
953914428^7849+7849^1442856195Hans Havermann06/2016
95402*10^56194-5156195Robert Price11/2017
954114898^5909+5909^1489856189Hans Havermann06/2016
954218^44758+9556184Lelio R Paula02/2013
95437478^14503-14503^747856182Norbert Schneider11/2018
95442^186555-74156159Lelio R Paula05/2011
9545(4*10^56156+173)/356157Robert Price01/2017
9547(3^117708+7)/44789656156Lelio R Paula03/2012
954615711^3752+3752^1571156156Hans Havermann06/2016
9548(23*2^186549-1)/242902556152Lelio R Paula01/2014
9549387^21694+21694^38756138Norbert Schneider08/2014
95502^186422+1723956119Yves Minet01/2010
95512^186418+424242956118Jason Earls10/2008
9552136^26300+13556113Norbert Schneider04/2015
95535*2^186392+956111Lelio R Paula03/2014
955414345^8152+8152^1434556108Hans Havermann07/2016
9555(5*2^186351-1)/3956097Lelio R Paula01/2014
95562^186319-54123756088Paul Bourdelais11/2012
95572*10^56083-4356084Robert Price07/2017
9558(16*10^56082-61)/956083Serge Batalov05/2009
9559(14*10^56080-143)/356081Robert Price01/2017
9560(265*10^56076+17)/356078Robert Price05/2016
95617^66346-5056069Lelio R Paula10/2012
956220^43094-3356067Lelio R Paula02/2013
956320^43090-138356062Enzo Doria03/2013
95643^117482+266056054Lelio R Paula10/2012
9565(22699*2^186193+1)/11156052Lelio R Paula05/2014
9566(68*10^56042+13)/956043Ray Chandler09/2010
95673*6^71992+5^7199256022Mike Oakes03/2010
956813691^12352+12352^1369156020Hans Havermann07/2016
9569(2^186095+7)/7556019Lelio R Paula02/2012
9570247^23412+23412^24756018Norbert Schneider08/2014
95711839^17156+17156^183956008Serge Batalov05/2014
957213736^11949+11949^1373656007Hans Havermann04/2016
9573(5*2^186036-1)/1156003Lelio R Paula01/2014
9574(299*10^55998-17)/356000Robert Price01/2017
9575p(12103)#/2-12855994Robert Price05/2017
95762^186003-17433755993Gary Barnes09/2009
9577(2^186010+78557)/12355993Lelio R Paula05/2012
957820^43037-9355993Lelio R Paula02/2013
957916375^2626+2626^1637555991Hans Havermann03/2016
958011083^13842-13842^1108355987Norbert Schneider11/2018
958115631^3816+3816^1563155985Hans Havermann03/2016
958221^42335-255977Lelio R Paula08/2013
9583Phi(64736,139)55959Enzo Doria07/2012
958415215^4762+4762^1521555958Hans Havermann03/2016
958519317^788+788^1931755953Anatoly F. Selevich12/2006
958613582^13165+13165^1358255950Hans Havermann08/2016
9587(78557*2^185842+1)/18955947Lelio R Paula06/2014
958811867^13730-13730^1186755941Norbert Schneider09/2018
958915^47562-8655938Lelio R Paula02/2013
95904*10^55932+9155933Robert Price11/2017
95913^117222+455930Lelio R Paula03/2012
959224^40519-23^4051955925Robert Price07/2012
959313636^12623+12623^1363655924Hans Havermann07/2016
95942^185767-9955922Lelio R Paula03/2011
9595(19*2^185750-1)/1555917Lelio R Paula01/2014
959615^47542-5855914Lelio R Paula02/2013
959752211!4+255914Robert Price08/2017
959820^42973-558355910Enzo Doria03/2013
95994*10^55906+2155907Robert Price08/2016
96002^185713-11155906Lelio R Paula03/2011
960113^50174+8855891Lelio R Paula01/2013
960214569^6846+6846^1456955879Hans Havermann08/2016
9603Pell-LucasQ(145969)/255874Eric W. Weisstein08/2006
96043^117087-8055865Lelio R Paula10/2012
96058384^14237-14237^838455859Norbert Schneider03/2019
9606(7*10^55851-43)/955851Robert Price10/2014
96072^185519-16955847Lelio R Paula03/2011
96087^66074+1055840Lelio R Paula10/2012
9609(19*10^55833-49)/355834Robert Price02/2017
9610(2*10^55834-59)/355834Robert Price05/2017
96112^185463-423755830Yves Minet08/2018
961212^51732+555829Lelio R Paula01/2013
961311252^13779-13779^1125255822Norbert Schneider10/2018
96143*2^185429+755821Lelio R Paula03/2014
9615(60^31393+1)/6155820Paul Bourdelais08/2017
9617(9787*2^185420-1)/38155819Lelio R Paula04/2015
961614427^7396+7396^1442755819Hans Havermann08/2016
961810^55811+2155812Robert Price01/2011
961910^55811-7410355811Patrick De Geest12/2012
962011^53591-153055810Enzo Doria11/2012
9621(5^79841-5^39921+1)/1533415955800Lelio R Paula09/2017
96222^185355-214555798Lelio R Paula03/2011
962314531^6912+6912^1453155794Hans Havermann07/2016
96242^185327-161555789Lelio R Paula03/2011
96252^185280-1277955775Enzo Doria10/2012
962615504^3955+3955^1550455771Hans Havermann07/2016
9627(2*10^55762-59)/355762Robert Price05/2017
96285^79770-4455757Lelio R Paula10/2012
962918^44416-8555755Lelio R Paula02/2013
96302^185208-45999555754Enzo Doria06/2015
96312^185200+118555751Lelio R Paula03/2011
9632(536*10^55748-23)/955750Robert Price11/2017
96337^65964+6^(65964-1)55747Robert Price03/2016
96342^185151-23715755737Gary Barnes09/2009
9635110017^11055-10255734Enzo Doria07/2012
963714754^5987+5987^1475455729Hans Havermann07/2016
963612591^13592-13592^1259155729Norbert Schneider07/2018
963840090!3-955711Robert Price09/2014
96399*10^55707+8955708Robert Price11/2016
96402^185023-225755698Yves Minet06/2009
964118628^977+977^1862855696Anatoly F. Selevich01/2007
96422^185006-9355693Lelio R Paula03/2011
96432^185003-251555692Yves Minet07/2014
96442^184992-7855755689Jorge Menendez02/2018
96453*10^55679+3755680Robert Price10/2017
96466^71524-1955657Lelio R Paula10/2012
96472^184872-219555653Yves Minet08/2013
9648507^20572+20572^50755648Norbert Schneider06/2016
9649(86*10^55645-311)/955646Robert Price10/2017
9650134^26151-13355626Norbert Schneider03/2015
965115340^4221+4221^1534055614Hans Havermann07/2016
965227743!2+255612Robert Price01/2013
965320^42744+8155612Lelio R Paula02/2013
965414609^6406+6406^1460955611Hans Havermann07/2016
96552^184724-11288355608Enzo Doria06/2014
965613507^13074+13074^1350755601Hans Havermann07/2016
96572^184689+12955597Lelio R Paula03/2011
9658(9179*2^184672-1)/19355594Lelio R Paula03/2015
9659(22*10^55592-19)/355593Robert Price02/2017
9660Phi(59984,89)55582Enzo Doria05/2012
96618815^14088-14088^881555581Norbert Schneider11/2018
966211^53368+1655578Lelio R Paula01/2013
966320^42717-192355577Enzo Doria03/2013
9664117^26870+26870^11755573Serge Batalov05/2014
966512^51488+5555565Lelio R Paula01/2013
9666(44*10^55558-17)/955559Robert Price06/2015
9667(2*10^55559-23)/355559Robert Price09/2017
966810^55555+3285755556Patrick De Geest06/2010
966910^55555-13672155555Patrick De Geest06/2010
9670(11*2^184541-1)/35155551Lelio R Paula01/2014
967120^42696-204355549Enzo Doria03/2013
9672(35*10^55547-737)/955548Robert Price11/2017
9673(2*10^55544+1)/355544Serge Batalov06/2009
9674(-lucasV(1,2,369056)+2)/(3*89*109*457)55542Mike Oakes04/2017
96755003^15013-16055537Enzo Doria07/2012
967639^34896-255522Lelio R Paula08/2013
9677(6^71345-61)/555517Lelio R Paula05/2014
96782^184407-301955513Yves Minet10/2014
9679(43*10^55512-61)/955513Robert Price06/2015
968020^42667-84355512Enzo Doria03/2013
9681133^26134-13255505Norbert Schneider03/2015
9682(31*2^184378-1)/71155502Lelio R Paula01/2014
96839*7^65667-455497Lelio R Paula09/2014
96842^184342-17355493Lelio R Paula03/2011
968515^47182+9255491Lelio R Paula02/2013
96865^79378+655483Lelio R Paula10/2012
9687581^20068+20068^58155472Norbert Schneider06/2016
9688(2^184232+1)/25755457Donovan Johnson03/2005
968918^44177-141555455Enzo Doria03/2013
96902^184203-279786755451Enzo Doria04/2016
96912^184189+1755447Lelio R Paula03/2011
96922^184183+2612355445Yves Minet01/2010
9693Phi(77077,10)55441Ray Chandler05/2009
96942^184141-11325155432Enzo Doria07/2014
96952^184093-50461355418Gary Barnes09/2009
96966517^14528-14528^651755411Norbert Schneider12/2018
9697(lucasV(1,2,368167)+2)/(11*1103*1307*5647)55404Mike Oakes04/2017
96982^184044-11126955403Enzo Doria05/2014
969914051^8766+8766^1405155401Hans Havermann07/2016
970098^27819+27819^9855394Serge Batalov05/2014
9701(178*10^55390-7)/955392Robert Price08/2017
970258046^9+9^5804655390Andrey Kulsha02/2004
97037^65536+2*59232-255385Jiahao He07/2017
97042^183980+7524155384Enzo Doria04/2016
970510^55372+3755373Robert Price01/2011
970610^55372-4996755372Patrick De Geest12/2012
9707(13*10^55367+17)/355368Robert Price06/2015
97082*6^71150+755366Lelio R Paula09/2014
970919^43296-6255365Lelio R Paula02/2013
971019^43295+1055364Lelio R Paula02/2013
9711(29*10^55362-11)/955363Robert Price04/2015
9712(37*10^55359+53)/955360Robert Price05/2015
971319^43283+7255349Lelio R Paula02/2013
97142^183800-6555330Lelio R Paula03/2011
971521001^12801-11055329Enzo Doria07/2012
971633^36433-32^3643355325Robert Price04/2012
9717(17*2^183729+1)/14555308Lelio R Paula07/2012
97189932^13837-13837^993255307Norbert Schneider11/2018
97199^57952+8^(57952-1)55301Robert Price03/2016
972014872^5229+5229^1487255301Hans Havermann08/2016
972161^30972-255296Lelio R Paula08/2013
97222^183671-11253755291Enzo Doria06/2014
9723(2^183687+7)/49793974555287Lelio R Paula02/2012
97243^115873+5655286Lelio R Paula10/2012
972513^49629-8455284Lelio R Paula01/2013
97262^183632-555279Henri Lifchitz08/2005
972713981^8988+8988^1398155277Hans Havermann07/2016
972810688^13719-13719^1068855273Norbert Schneider09/2018
9729(5*2^183585+1)/1355265Lelio R Paula07/2012
97302^183576+17155262Lelio R Paula03/2011
973113^49604+8255257Lelio R Paula01/2013
9732(11*10^55254+1)/355255Erik Branger03/2014
973312609^13474-13474^1260955253Norbert Schneider05/2018
97343^115802-2655252Lelio R Paula10/2012
97352^183534-364555250Lelio R Paula01/2011
9736(15*2^183533-1)/11355249Lelio R Paula01/2014
97375^79032-1376655241Enzo Doria02/2013
97388*3^115759-755232Lelio R Paula03/2014
97396^70974-13755229Lelio R Paula10/2012
97402^183466+52428755229Paul Underwood08/2018
97412^183446-11307355223Enzo Doria07/2014
97422^183441+57729457555222Lelio R Paula03/2013
97435^79000-655219Lelio R Paula10/2012
97442^183413-90155213Yves Minet01/2012
974519^43168-5055202Lelio R Paula02/2013
97462^183340+1968355191Lelio R Paula02/2012
97476^70923+3555189Lelio R Paula10/2012
97482^183317-403555184Lelio R Paula01/2011
97492^183284-1555174Lelio R Paula03/2011
97502^183255+14955166Lelio R Paula02/2011


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: June, 18 2019 07:14 (Time in France)

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