PRP Records

Probable Primes Top 10000

(174961 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 ?
35012^311294+577593709Lelio R Paula03/2016
35022^311252-101793697Lelio R Paula03/2016
35032^311247-11204193695Enzo Doria06/2014
35042^311205-10964593683Enzo Doria04/2014
35055^134027-8493681Lelio R Paula04/2016
3506(2^311148-1017)/55793663Lelio R Paula06/2013
3507(2^311027-2^155514+1)/59362811/2006
35083^196192-2893608Robert Price12/2013
3509216091#+26143393606Makoto Morimoto12/2015
35105^133917+6893604Lelio R Paula04/2016
35112^310924-170993598Yves Minet03/2013
3512(266*10^93577-11)/393579Robert Price09/2016
3513(16*10^93577+161)/393578Robert Price05/2016
35143^196113-5693570Lelio R Paula04/2016
35152^310806-11034593562Enzo Doria05/2014
35163^196093+8693561Lelio R Paula04/2016
35172^310780-232793555Yves Minet10/2013
351830^63332+4193550Lelio R Paula08/2012
3519(21181*2^310707+1)/2193536Lelio R Paula06/2014
35208*5^133807+793528Lelio R Paula10/2014
35212^310686+819393526Lelio R Paula03/2016
35222^310646+6393514Lelio R Paula11/2012
3523(77*10^93508+31)/993509Robert Price10/2015
3524(1000907^15583+1)/100090893499Faysal YAtim04/2009
3525(2*10^93497+7)/993497Erik Branger03/2011
35263^195958-11285293496Enzo Doria07/2014
35272^310583+1638593495Lelio R Paula03/2016
3528(9913*2^310557-1)/3593490Lelio R Paula04/2015
35299*7^110614+293481Lelio R Paula11/2014
35302^310469-829593461Lelio R Paula03/2016
35312^310459-115993458Yves Minet11/2012
35326^120075-9593437Lelio R Paula05/2016
35332^310289+9832793407Yves Minet11/2010
35342^310217-11314393385Enzo Doria07/2014
35357^110494-6893379Lelio R Paula04/2016
35362^310184-11309393375Enzo Doria07/2014
35372^310180-11041793374Enzo Doria05/2014
3538gcd(V(1124905),5*F(224981)*(F(224981)-1)+1)93372Serge Batalov04/2015
35393^195669+6893358Lelio R Paula04/2016
354010^93356+9193357Robert Price04/2011
354110^93356-2831393356Patrick De Geest08/2013
3542(85*10^93346+23)/993347Robert Price11/2015
3543(3^195648-5)/315827693342Lelio R Paula04/2013
35443^195556+868093304Lelio R Paula04/2016
35452^309942-10999193302Enzo Doria04/2014
35462^309926-186730193298Enzo Doria03/2016
35472^309924+8595193297Yves Minet03/2011
3548(86*10^93263-77)/993264Robert Price05/2016
35496^119836-12593251Lelio R Paula05/2016
35503^195430-293244Theodore Burton02/2007
3551(13*10^93236+47)/393237Robert Price01/2017
3552(86*10^93217-221)/993218Robert Price06/2017
35532^309637-1632993211Enzo Doria04/2013
3554(41*10^93207+49)/993208Robert Price04/2016
355514^81312-5793194Lelio R Paula06/2016
355641^57783-4093192Theodore Burton02/2007
35575*7^110252-493175Lelio R Paula11/2014
35582^309380-2793133Lelio R Paula11/2012
355923*10^93116-793118Robert Price03/2016
3560(29*10^93082+1)/393083Robert Price11/2015
3561(58*10^93062-13)/993063Robert Price09/2015
35622^309131+186938393058Enzo Doria05/2016
35632^309066-9393039Lelio R Paula11/2012
35642^309063-11326993038Enzo Doria07/2014
35653^194965+1693022Robert Price10/2013
35662^308979+186914393012Enzo Doria05/2016
35675^133064+5493008Lelio R Paula04/2016
3568(2^308905-509203)/11992988Lelio R Paula06/2013
3569(94*10^92981-49)/9992981Ray Chandler07/2011
3570(2*10^92976-17)/392976Robert Price08/2014
35712^308809+3796792961Phil Moore03/2008
3572(3^194825+5)/1165692952Lelio R Paula04/2013
3573(2^308679+5)/157392919Lelio R Paula06/2013
35742^308650+51392913Lelio R Paula02/2016
35755*7^109936+692908Lelio R Paula10/2014
35762*10^92897+8992898Robert Price07/2016
357712^86073-2992889Lelio R Paula06/2016
35782^308566-11792888Lelio R Paula11/2012
3579(17*10^92869-11)/392870Robert Price07/2015
35802^308459+7543192856Enzo Doria04/2016
35812^308426-186637792846Enzo Doria03/2016
35822^308349-11211192823Enzo Doria06/2014
35839*10^92821+1992822Robert Price05/2016
35842^308337-7592819Lelio R Paula11/2012
35854*3^194508+792805Lelio R Paula08/2014
358622*25^66379-11392796Curtis Bright05/2015
358711^89101-108092790Enzo Doria12/2012
35882^308236-186785992789Enzo Doria04/2016
358912^85963+2592770Lelio R Paula06/2016
35907^109750-6692750Lelio R Paula04/2016
35919*10^92742+1192743Robert Kinser01/2017
3592(21*2^308046-1)/885792729Lelio R Paula02/2014
35932^307997-11065592717Enzo Doria05/2014
3594L(443609)92709Renaud Lifchitz11/2003
359510^92691+992692Robert Price03/2011
359610^92691-25229192691Patrick De Geest08/2013
35972^307879-252192681Yves Minet07/2014
3598(2^307780-7)/1995966992644Lelio R Paula06/2013
359914^80831+4792643Lelio R Paula06/2016
360015^78744+9292611Lelio R Paula07/2016
360165^51083-6492610Norbert Schneider11/2014
36026^118996-1694392597Enzo Doria02/2013
3603(3^194014-7)/292568Lelio R Paula04/2013
3604(26*10^92546-77)/392547Robert Price02/2017
36053^193954+34092540Lelio R Paula04/2016
36062^307407-307407^292539Henri Lifchitz05/2005
3607(17*10^92513-11)/392514Robert Price07/2015
36082^307318-421192512Yves Minet06/2011
36092^307280+19392501Lelio R Paula11/2012
361020^71075-3392471Lelio R Paula05/2016
36112^307126-7879592455Lelio R Paula02/2016
36122^307125-4978992454Henri Lifchitz08/2005
36132^307099+2392447Lelio R Paula11/2012
36147*10^92414-6992415Robert Price01/2017
3615(9787*2^306975-1)/212915592407Lelio R Paula04/2015
36162^306915+187337392391Enzo Doria06/2016
36172^306908+1291592389Lelio R Paula02/2016
361819^72244-8092383Lelio R Paula06/2016
36192^306849+7592371Lelio R Paula11/2012
36202^306813-86968810592360Lelio R Paula08/2016
36212^306672-10905992318Enzo Doria04/2014
36226^118604-1706392292Enzo Doria02/2013
3623(31*2^306487-1)/229192260Lelio R Paula02/2014
36242^306467-183561192256Enzo Doria04/2015
36252^306433+7642792246Enzo Doria05/2016
36262^306430-11331392245Enzo Doria07/2014
3627(23*10^92244-59)/992245Robert Price03/2017
3628(47*2^306398+1)/138480392231Lelio R Paula04/2015
3629(25*10^92186+59)/392187Robert Price05/2016
36302^306213-28618392180Enzo Doria06/2015
363110^92178+6192179Robert Price04/2011
363210^92178-17550992178Patrick De Geest07/2013
36332^306200+118592176Lelio R Paula02/2016
36342^306153+1192162Lelio R Paula11/2012
3635(2^306141-7)/592157Lelio R Paula06/2013
3636(26*10^92152-23)/392153Robert Price08/2016
3637(2*10^92152+67)/392152Robert Price04/2017
36384*10^92099+3*7^9209992100Mike Oakes12/2010
3639(2^305867-2^152934+1)/59207511/2006
36402^305851-10949592071Enzo Doria04/2014
364112^85300+3592055Lelio R Paula06/2016
36423^192911+9292042Lelio R Paula04/2016
36432^305723-27627192032Enzo Doria07/2015
36442^305676+9392018Donovan Johnson06/2008
36453^192819+491999Lelio R Paula04/2013
3646(38*10^91997-83)/9991997Ray Chandler07/2011
36472^305539+7291191977Enzo Doria04/2016
3648(2^305427-5)/129799821391934Lelio R Paula06/2013
364985^47642+8491922Norbert Schneider10/2015
365010^91920+18765191921Patrick De Geest07/2013
365110^91920-3991920Robert Price05/2011
3652(22*10^91903+41)/991904Robert Price02/2015
36542^305275-2791897Lelio R Paula11/2012
36533^192607-772691897Enzo Doria05/2014
3655(7*10^91856-61)/991856Erik Branger12/2009
3656(89*10^91839-53)/991840Robert Price11/2015
36578*5^131351+791812Lelio R Paula10/2014
36583^192426-6891811Lelio R Paula04/2016
36592^304973+11791807Lelio R Paula11/2012
36602^304939-186372791796Enzo Doria03/2016
36612^304902+841591785Lelio R Paula02/2016
366218^73119+6191785Lelio R Paula06/2016
3663(78557*2^304740+1)/15991739Lelio R Paula06/2014
36642^304747+7135591738Lelio R Paula02/2016
36658*3^192251+591728Lelio R Paula08/2014
36662^304674-8791717Lelio R Paula11/2012
3667(2^304698+9)/136280995391715Lelio R Paula06/2013
3668(5*10^91707-119)/391708Robert Price04/2016
36692^304633-11277191704Enzo Doria06/2014
36702^304578-1671391688Enzo Doria05/2013
36716^117824-1871391685Enzo Doria03/2013
3672(17^74509-1)/1691679Paul Bourdelais03/2010
3673(2^304551-7)/891223191673Lelio R Paula06/2013
3674(2^304532-3)/301391670Lelio R Paula06/2013
36752^304507-1664591666Enzo Doria04/2013
3676(29*2^304489+1)/3191661Lelio R Paula09/2013
36772^304471-183612791655Enzo Doria04/2015
36782^304433+3276991644Lelio R Paula02/2016
36792^304410-1662591637Enzo Doria04/2013
36804*5^131052+791603Lelio R Paula10/2014
36812^304278-400191597Yves Minet04/2017
36822^304272-186637791595Enzo Doria03/2016
36832^304268+1968391594Lelio R Paula02/2016
36842^304162-16191562Lelio R Paula11/2012
36855*7^108331+691552Lelio R Paula10/2014
36862^304082-278782191538Enzo Doria03/2016
36872^304015+6413391518David Broadhurst06/2002
3688(7*2^303963+1)/391503Lelio R Paula09/2013
3689(2^303945-9)/361791494Lelio R Paula06/2013
36902^303930+188052791493Enzo Doria10/2016
36913^191684-6891457Lelio R Paula04/2016
3692(21*2^303813-1)/16991456Lelio R Paula02/2014
369311^87797-12091432Enzo Doria07/2012
36942^303698-184723191423Enzo Doria07/2015
3695(38^28933-1)^2-291416Norbert Schneider06/2016
36962^303554+7729991379Enzo Doria05/2016
36972^303542+1270591376Lelio R Paula02/2016
369831^61269-291375Lelio R Paula09/2013
36992^303516-6487591368Lelio R Paula02/2016
3700(24737*2^303428+1)/391345Lelio R Paula06/2014
3701(21181*2^303357+1)/3236191320Lelio R Paula06/2014
37022^303344-278696991316Enzo Doria03/2016
37036^117346+6591313Lelio R Paula05/2016
37042^303321+85591309Lelio R Paula02/2016
370512^84606+4791306Lelio R Paula06/2016
37062^303288+187431191299Enzo Doria06/2016
370711^87663-171091292Enzo Doria12/2012
37082^303224+253391280Henri Lifchitz05/2005
37096^117302+14391279Lelio R Paula05/2016
37103^191306-11288091277Enzo Doria07/2014
37112^303207+1291591275Lelio R Paula02/2016
37122^303191-11125991270Enzo Doria05/2014
371310^91230+9^(91230+1)91231Robert Price08/2016
371410^91230+792191231Patrick De Geest11/2016
371510^91230-91114191230Patrick De Geest11/2016
37166^117232-1742391225Enzo Doria02/2013
37177*10^91215+391216Erik Branger11/2009
371897*10^91205-391207Robert Price01/2017
37192^302979-16118191206Enzo Doria04/2013
37202^302949+8191197Henri Lifchitz02/2007
37214*6^117192-591194Lelio R Paula10/2014
37222^302918+9991188Lelio R Paula11/2012
37232^302797+186958791151Enzo Doria05/2016
3724265^37614+37614^26591148Norbert Schneider01/2015
37257^107852+8291146Lelio R Paula04/2016
3726(38*10^91144-11)/991145Robert Price05/2015
3727249^38030+38030^24991128Norbert Schneider01/2015
37286^117094-21104991117Mike Oakes05/2011
37292^302602-186718191093Enzo Doria03/2016
3730(1017*2^302592-1)/5391091Lelio R Paula04/2015
373115^77445-1691083Lelio R Paula07/2016
37322^302505+8191064Henri Lifchitz02/2007
37332^302496-11234991061Enzo Doria06/2014
373417^73999-7291052Lelio R Paula07/2016
37352^302332+57729457591012Lelio R Paula08/2016
37362^302274+7420990994Enzo Doria04/2016
3737(3^190668+2)/8990970Lelio R Paula04/2013
37382^302188+9019590968Lelio R Paula02/2016
3739(53*10^90965-71)/990966Robert Price09/2015
37402^302113+7410590946Enzo Doria04/2016
37412^302102-655590942Lelio R Paula02/2016
3742156*(10^(4*22731)-1)/101-190925Robert Price05/2014
37433^190568+3890925Lelio R Paula04/2016
37442^302009-1644990914Enzo Doria04/2013
3745(17*2^301951-1)/16590896Lelio R Paula02/2014
37463^190497+7490891Lelio R Paula04/2016
3747(24737*2^301896+1)/39990882Lelio R Paula06/2014
374818^72397+8990878Lelio R Paula06/2016
37496^116769-4790864Lelio R Paula05/2016
37502^301712-46590825Lelio R Paula02/2016


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: June, 22 2017 08:34 (Time in France)

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