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 ?
7001(3*2^234451+1)/3570576Lelio R Paula08/2012
7002Phi(159495,10)70560Maksym Voznyy09/2015
70032^234383-403570557Lelio R Paula05/2012
70042^234315-11124170536Enzo Doria05/2014
700514^61526+9770517Lelio R Paula01/2015
7006(3*2^234170+1)/1370492Lelio R Paula08/2012
700751^41281-50^4128170491Robert Price02/2013
70082^234141-11212370484Enzo Doria06/2014
70092^234139+1228570483Lelio R Paula04/2012
70102^234133-316370482Yves Minet04/2009
70112^234115+8370476Lelio R Paula02/2012
70122^234114-159570476Lelio R Paula05/2012
701324^51061-23^5106170475Robert Price07/2012
701419471^16428-270467Faysal YAtim09/2005
70157^83381+1270466Robert Price01/2014
70162^234067-11142770462Enzo Doria05/2014
7017(266*10^70457+1)/370459Robert Price02/2016
7018(31*2^234041-1)/9770453Lelio R Paula01/2014
70192^234026+1290970449Lelio R Paula04/2012
70202^233965-1970431Lelio R Paula02/2012
7021(5*2^233932-1)/17970419Lelio R Paula01/2014
70222^233908-1710970414Enzo Doria05/2013
7023695^24772+24772^69570402Norbert Schneider09/2016
70243*5^100719-270401Lelio R Paula10/2014
70252^233829-11135570390Enzo Doria05/2014
7026(19775^16384+1)/270388Henri Lifchitz03/2007
70277*3^147519+870386Lelio R Paula04/2014
7028141^32749-270385Lelio R Paula10/2017
70295*7^83265+270368Lelio R Paula10/2014
7030(23*10^70363+97)/370364Robert Price02/2017
7031(23*2^233749-1)/3532570363Lelio R Paula01/2014
70335^100652-1391670353Enzo Doria02/2013
703245^42555-270353Lelio R Paula08/2013
70342^233661-6170339Lelio R Paula02/2012
70352^233523-11224970298Enzo Doria06/2014
70365*3^147324-870293Lelio R Paula04/2014
70372^233488-1306570287Enzo Doria11/2012
7038(3^147322+8)/4285170286Lelio R Paula06/2012
7039(22*10^70259+161)/370260Robert Price02/2017
70402^233388+46570257Lelio R Paula11/2012
704114^61299+5970257Lelio R Paula01/2015
70422^233383+9406570256Lelio R Paula04/2012
704349471!3-656170253Robert Price11/2015
70447^83121+6^(83121-1)70246Robert Price03/2016
7045(197*10^70241-11)/370243Robert Price10/2017
704623*10^70240-770242Robert Price03/2016
7047(71*10^70227-53)/970228Robert Price10/2015
7048(2^233247-9)/1770214Lelio R Paula05/2012
7049(11^67421-2^67421)/970211Robert Price01/2013
7050(23*10^70209-41)/970210Robert Price03/2015
7051(29*10^70194-11)/970195Robert Price04/2015
70523^147109+19670189Lelio R Paula05/2014
7053(34*10^70191-7)/9/3/40583/57304770181Makoto Morimoto05/2016
70549^73538+8^(73538+1)70174Robert Price06/2016
70552*5^100391+770171Lelio R Paula10/2014
705699^35156-270159Lelio R Paula08/2013
7057(68*10^70148+7)/370150Robert Price03/2016
705811^67360-603070149Enzo Doria01/2013
7059(35*10^70130-377)/970131Robert Price12/2017
706049391!3+3^4939170128Robert Price09/2015
7061(229*10^70122-1)/370124Robert Price12/2016
70627^82975-9270123Lelio R Paula07/2014
706365^38670+5870106Lelio R Paula01/2016
7064105^34684+34684^10570103Serge Batalov05/2014
7065134^32955-13370099Norbert Schneider03/2015
70672^232836-22790370091Enzo Doria12/2012
70662^232837-185917370091Enzo Doria03/2016
70683*2^232820+570087Lelio R Paula04/2014
70702^232799+9019570080Lelio R Paula02/2013
70692^232799-11223770080Enzo Doria06/2014
70712^232759+26214570068Lelio R Paula04/2012
70723*2^232750+770066Lelio R Paula04/2014
707312^64918-1170059Lelio R Paula01/2015
70747^82899-1270058Lelio R Paula09/2013
7075(22*10^70051-13)/970052Robert Price03/2015
7076(2^232685-7)/251462570039Lelio R Paula04/2012
707718^55786-536370027Enzo Doria03/2013
7078(2^(77537*3+1)+243)/770023Kevin Acres11/2013
70792^232602+16970021Lelio R Paula02/2012
7080(137^32768+29^32768)/270016Jeppe Stig Nielsen04/2018
70812^232580+7213370014Enzo Doria04/2016
70824*6^89958-770002Lelio R Paula09/2014
708310^70000+8048770001Milton L. Brown05/2006
708410^69999+13485770000Patrick De Geest02/2007
708910^70000-927370000Patrick De Geest08/2009
7088(79*10^69999-7)/970000Robert Price01/2015
7085((2^43112609)/10^38420)%10^7000070000Michael Vang10/2016
7086(2^756839/10^36014)%10^7000070000Michael Vang12/2016
7087(2^74207281/10^32641)%10^7000070000Michael Vang12/2016
709010^69999-8825169999Patrick De Geest08/2009
70912^232507+108969992Lelio R Paula04/2012
7092(17*2^232445+1)/569974Lelio R Paula08/2012
7093(529^25693+1)/53069972Richard Fischer12/2017
70947^82778+4869956Lelio R Paula09/2013
70957*2^232381+369955Lelio R Paula04/2014
70962^232362-11054169948Enzo Doria05/2014
70972^232326-11239169938Enzo Doria06/2014
70983^146575+23669935Lelio R Paula09/2013
709930^47341-2969929Norbert Schneider02/2014
71005^100040-6869925Lelio R Paula09/2013
7101(35*10^69866-593)/969867Robert Price08/2017
71022^232045-1729569853Lelio R Paula04/2012
7103(2^231987+78557)/9569834Lelio R Paula05/2012
71042^231955+7424369826Yves Minet03/2011
71052^231946-1587369823Enzo Doria04/2013
710618^55618+9569816Lelio R Paula09/2013
71076^89712+5^(89712-1)69810Robert Price02/2016
71082^231870+13569800Lelio R Paula02/2012
7109(23*2^231827-1)/417969785Lelio R Paula01/2014
71102^231778+5461569773Lelio R Paula04/2012
7111(19*2^231780+1)/23569772Lelio R Paula08/2012
711214^60866+2769761Lelio R Paula09/2013
711313^62619-4469755Lelio R Paula09/2013
7114(2^231715-509203)/3569752Lelio R Paula05/2012
71152^231711-11046769752Enzo Doria05/2014
7116(19^54547+18^54547)/3769751Robert Price08/2013
7117(23*2^231697-1)/4569748Lelio R Paula01/2014
71182^231696-186149969748Enzo Doria03/2016
71192^231684-14769744Lelio R Paula02/2012
7120(23*2^231686-1)/118369743Lelio R Paula01/2014
71212^231591-47739769716Paul Bourdelais03/2013
712211^66916-42069686Enzo Doria08/2012
71235^99680-1370669674Enzo Doria02/2013
7124(8*10^69674-53)/969674Robert Price11/2014
7125(44*10^69663-413)/969664Robert Price10/2017
7126(77*10^69656-23)/969657Robert Price10/2015
71276^89509+13169652Lelio R Paula09/2013
7128(78557*2^231349+1)/3569647Lelio R Paula06/2014
7129(11*10^69645+19)/369646Robert Price03/2016
713011^66875-2869644Lelio R Paula09/2013
71312^231347+7148369643Enzo Doria04/2016
7132(14^60763+3^60763)/1769641Robert Price04/2013
7133(4*10^69626+173)/369627Robert Price01/2017
71342^231289+25569625Lelio R Paula04/2012
71352^231234-11291369609Enzo Doria06/2014
7136(265*10^69602-7)/369604Robert Price07/2016
71372^231182-11284169593Enzo Doria06/2014
7138(15*2^231129+1)/2369577Lelio R Paula08/2012
71393^145806-2869568Lelio R Paula09/2013
7140(265*10^69554-7)/369556Robert Price07/2016
71412^231052-11315969554Enzo Doria07/2014
7142(10^9+1)*(10^129+1)*(10^831+1)*(10^107199+1)/1001/(10^387+1)/(10^2493+1)/(10^35733+1)69552Makoto Kamada03/2019
714311^66784-869549Lelio R Paula09/2013
7144Phi(104409,10)/229699969546Maksym Voznyy07/2015
71452^231016-11052369543Enzo Doria05/2014
71462^231014+57729457569543Lelio R Paula02/2016
714714^60658+6769522Lelio R Paula09/2013
71485^99418+3669491Lelio R Paula06/2013
71497^82203-3069470Lelio R Paula09/2013
7150(63^38609-1)/6269469Paul Bourdelais08/2017
71515^99359-2^9936069449Mike Oakes12/2010
7152(29*2^230684+1)/139569442Lelio R Paula08/2012
7153(19*10^69424+77)/369425Robert Price08/2016
715419^54287-9669420Lelio R Paula09/2013
71552^230541+5890569400Lelio R Paula04/2012
71562^230506+1270569390Lelio R Paula02/2013
71578*6^89156-569378Lelio R Paula09/2014
71582^230438-11134769369Enzo Doria05/2014
71592^230428-9969366Lelio R Paula02/2012
7160(62^38699+1)/6369362Paul Bourdelais08/2017
71613*10^69354+1769355Robert Price03/2017
7162(493*10^69340-7)/969342Robert Price07/2016
7163(41*10^69321+373)/969322Robert Price04/2017
71646^89072+5369312Lelio R Paula09/2013
7165155^31639+269300Lelio R Paula05/2013
71663*7^81965-469269Lelio R Paula09/2014
7167(16*10^69265+41)/369266Robert Price10/2017
7168(86*10^69260-77)/969261Robert Price05/2016
71699*5^99087+469260Lelio R Paula09/2014
71703^145145+266069252Lelio R Paula09/2013
717211^66492-114069245Enzo Doria11/2012
71715*3^145129-469245Lelio R Paula04/2014
71737*3^145126+869244Lelio R Paula04/2014
717411^66480-237069232Enzo Doria12/2012
71752^229962-6569226Lelio R Paula02/2012
71762^229958-11073369225Enzo Doria05/2014
7177V(332407)69225Serge Batalov03/2015
71786^88959+769224Lelio R Paula09/2013
717915^58855-9469219Lelio R Paula09/2013
7180159773#-p(159773)69212Henri Lifchitz12/2018
7181(2^229838+47)/1208169185Lelio R Paula04/2012
71823^144952+9869160Lelio R Paula09/2013
71835^98941-7269157Lelio R Paula06/2013
7184(17*2^229604-1)/22969117Lelio R Paula01/2014
71852^229585-106369112Yves Minet11/2012
7186(13*2^229567-1)/1969107Lelio R Paula01/2014
7187(13*2^229393-1)/569055Lelio R Paula01/2014
7188(53*10^69050-17)/969051Robert Price09/2015
7189(43*10^69048+47)/969049Robert Price12/2017
71902^229305-186853369028Enzo Doria04/2016
71912^229297+138569026Lelio R Paula04/2012
719218^54986-244169023Enzo Doria03/2013
7193(34*10^69021-7)/9/3/6769020Makoto Morimoto04/2016
71945^98736-1463669014Enzo Doria02/2013
7195(13^61949-5^61949)/869007Robert Price03/2013
7196(2^229227+5)/61169002Lelio R Paula04/2012
71972^229216-11327969001Enzo Doria07/2014
719810^68994+5191368995Patrick De Geest03/2016
720010^68994-10^5814-168994Serge Batalov01/2011
719910^68994-8294768994Patrick De Geest03/2016
7201(17*2^229136-1)/238168975Lelio R Paula01/2014
72022^229113+10768970Lelio R Paula02/2012
720311^66202-441068943Enzo Doria01/2013
720412^63883+568942Lelio R Paula07/2013
7205(9913*2^229002-1)/39990368935Lelio R Paula04/2015
72062^228962-11158168925Enzo Doria05/2014
72072^228944+8168920Henri Lifchitz01/2007
720811^66174-5468914Lelio R Paula09/2013
72092^228913-11126568910Enzo Doria05/2014
72102^228902+7351968907Enzo Doria04/2016
7211(47*2^228884+1)/6368901Lelio R Paula04/2015
72122^228821+7642768882Enzo Doria05/2016
72133^144340+5068868Lelio R Paula09/2013
72142^228758-11296768864Enzo Doria06/2014
72152^228743-11137968859Enzo Doria05/2014
72162^228741-11091168858Enzo Doria05/2014
7218lucasU(1926,1,20964)-lucasU(1926,1,20963)68857Mike Oakes05/2009
72173*5^98511-868857Lelio R Paula09/2014
72192^228717+46768851Lelio R Paula02/2011
7220Phi(153218,10)/2211855049/23592660859/49771411729168849Maksym Voznyy10/2011
7221(509203*2^228665-1)/3568840Lelio R Paula04/2015
72228^76213-7^7621368828Ananda Tallur & Jean-Louis Charton11/2003
722311^66074-105068809Enzo Doria11/2012
7224(68*10^68798-11)/368800Robert Price10/2017
72252^228484+18168781Lelio R Paula02/2012
72262^228479-5869568780Lelio R Paula04/2012
72272^228465-1585368775Enzo Doria04/2013
722811^66040-540068774Enzo Doria01/2013
7229(13*2^228441-1)/57568766Lelio R Paula01/2014
7230(17*2^228393+1)/29568752Lelio R Paula08/2012
72312*10^68744+4168745Robert Price01/2017
723211^66011-15068744Enzo Doria08/2012
7233(13*2^228304-1)/8168726Lelio R Paula01/2014
72342^228295-11107968724Enzo Doria05/2014
7236(3^144039+7)/2268723Lelio R Paula04/2012
7235(8*10^68722+49)/368723Robert Price03/2016
7237(35*10^68718+1)/968719Serge Batalov11/2010
72382^228271-22827168717Henri Lifchitz11/2004
72392^228257+8287568713Lelio R Paula02/2013
72403^144013+4068712Lelio R Paula09/2013
724113^61671-8668699Lelio R Paula09/2013
7242(46*10^68698+683)/968699Robert Price12/2017
724317^55828-7268694Lelio R Paula09/2013
72446^88259+6168679Lelio R Paula09/2013
724518^54699-568663Lelio R Paula09/2013
724633^45216+268662Lelio R Paula05/2013
7248(2^228073-5)/368657Lelio R Paula04/2012
7247(2^(6*38012+1)-5)/368657Kevin Acres11/2013
72492^228055-11160768652Enzo Doria05/2014
72502^228054-11476168652Enzo Doria05/2015


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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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