PRP Records

Probable Primes Top 10000

(247113 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 ?
5751106^38949+10578884Norbert Schneider12/2016
5752(70^42737+1)/7178853Paul Bourdelais08/2017
5753(25*2^261917-1)/2092778842Lelio R Paula02/2014
57542^261881-185971378835Enzo Doria03/2016
57552^261874+191578832Lelio R Paula07/2013
57562^261856+9876533178827Jason Earls01/2009
5757(5*2^261857-1)/2050127778821Lelio R Paula02/2014
57582^261724+9269178787Tony Prest / Never Odd Or Even03/2014
57592^261724+28511178787Tony Prest / Never Odd Or Even04/2014
57602^261724+29371378787Tony Prest / Never Odd Or Even04/2014
5761(2^261724+381949)/578787Tony Prest / Never Odd Or Even04/2014
57622^261724+57297178787Tony Prest / Never Odd Or Even05/2014
5763(2^261724+392705)/3/778786Tony Prest / Never Odd Or Even04/2014
5764(2^261724+629709)/5/578786Tony Prest / Never Odd Or Even05/2014
5765(2^261724+67397)/3/10378785Tony Prest / Never Odd Or Even04/2014
5766(2^261724+323043)/11/10378784Tony Prest / Never Odd Or Even04/2014
5767(2^261724+370143)/128978784Tony Prest / Never Odd Or Even04/2014
5768(2^261724+560259)/5/5/7378784Tony Prest / Never Odd Or Even05/2014
5769(2^261724+64109)/3/3/3/5/5/1978783Tony Prest / Never Odd Or Even04/2014
5770(2^261724+394491)/5578778783Tony Prest / Never Odd Or Even04/2014
5771(2^261724+625897)/23/88378783Tony Prest / Never Odd Or Even05/2014
5772(2^261724+292471)/13/97/15178782Tony Prest / Never Odd Or Even04/2014
5773(2^261724+154303)/11/67/12778782Tony Prest / Never Odd Or Even04/2014
5774(2^261724+313319)/3/3/3/3/5/11/11378782Tony Prest / Never Odd Or Even04/2014
5775(2^261724+383949)/5/41/43/8378781Tony Prest / Never Odd Or Even04/2014
5776(2^261724+626567)/3/331/63178781Tony Prest / Never Odd Or Even05/2014
5777(2^261724+32987)/3/3/19/223/103178780Tony Prest / Never Odd Or Even04/2014
5778(2^261724+5813)/3/599139778780Tony Prest / Never Odd Or Even04/2014
5779(2^261724+13481)/3/11/239/208778780Tony Prest / Never Odd Or Even04/2014
5780(2^261724+103399)/5/13/37/1060778780Tony Prest / Never Odd Or Even04/2014
5781(2^261724+18477)/367/6511178780Tony Prest / Never Odd Or Even04/2014
5782(2^261724+121285)/167/227/121778780Tony Prest / Never Odd Or Even04/2014
5783(2^261724+262037)/3/3/11/23/1851778780Tony Prest / Never Odd Or Even04/2014
5784(2^261724+586157)/3/7/457/125978780Tony Prest / Never Odd Or Even05/2014
5785(2^261724+315287)/3/4582254178779Tony Prest / Never Odd Or Even04/2014
5786(2^261724+605675)/3/3/3/103/20748178779Tony Prest / Never Odd Or Even05/2014
5787(2^261724+60031)/13/31/702487778778Tony Prest / Never Odd Or Even04/2014
5788(2^261724+121879)/5/78943321778778Tony Prest / Never Odd Or Even04/2014
5789(2^261724+290135)/3/3/8467/905978778Tony Prest / Never Odd Or Even04/2014
5790(2^261724+79857)/59/3847/16533178777Tony Prest / Never Odd Or Even04/2014
5791(2^261724+22883)/3/17/23/2351/1007978777Tony Prest / Never Odd Or Even04/2014
5792(2^261724+154799)/3/5/365565371978777Tony Prest / Never Odd Or Even04/2014
5793(2^261724+391001)/3/11/17/41/43/2407178777Tony Prest / Never Odd Or Even04/2014
5794(2^261724+622383)/34843/55071778777Tony Prest / Never Odd Or Even05/2014
5795(2^261724+302829)/5/37/37/3707814778776Tony Prest / Never Odd Or Even04/2014
5796(2^261724+315837)/43/217613624378776Tony Prest / Never Odd Or Even04/2014
5797(2^261724+582373)/53/307/311/3211778776Tony Prest / Never Odd Or Even05/2014
5798(2^261724+295283)/3/3/3/29/43/1781227378775Tony Prest / Never Odd Or Even04/2014
5799(2^261724+27491)/3/22787/10597844978774Tony Prest / Never Odd Or Even04/2014
5800(2^261724+392751)/193813/28782668978774Tony Prest / Never Odd Or Even04/2014
5801(2^261724+328501)/7/1091/3149561051978773Tony Prest / Never Odd Or Even04/2014
5802(2^261724+111267)/19/4637/1514056042778772Tony Prest / Never Odd Or Even04/2014
5803(2^261724+572133)/127/131/7378775233378772Tony Prest / Never Odd Or Even05/2014
5804(2^261724+608733)/59/7079/18451/90915178771Tony Prest / Never Odd Or Even05/2014
5805(2^261724+255449)/3/3/5/7/1759/10177/3315886978770Tony Prest / Never Odd Or Even04/2014
5806(2^261724+99509)/3/5/5/6507271/674965928978769Tony Prest / Never Odd Or Even04/2014
5807(2^261724+52501)/563/53939/2794283139178769Tony Prest / Never Odd Or Even04/2014
5808(2^261724+117089)/3/5/37/149/967/2027/416374178769Tony Prest / Never Odd Or Even04/2014
5809(2^261724+372571)/1487/9209/21559/226324978769Tony Prest / Never Odd Or Even04/2014
5810(2^261724+184549)/5/8699/44053/140932299778769Tony Prest / Never Odd Or Even04/2014
5811(2^261724+363351)/937/159683/5952320022778768Tony Prest / Never Odd Or Even04/2014
5812(2^261724+326501)/3/43/193/263/19403/25350140378768Tony Prest / Never Odd Or Even04/2014
5813(2^261724+629477)/3/17/17/137/263/1993/16187/5734778768Tony Prest / Never Odd Or Even05/2014
5814(2^261724+94871)/3/3/13/6734017/167342524578778766Tony Prest / Never Odd Or Even04/2014
5815(2^261724+25981)/577/1181/3643/51778633474378766Tony Prest / Never Odd Or Even04/2014
5817(23*2^261642+1)/9378762Lelio R Paula10/2012
5816(2^261724+351227)/3/3/3/3/71/13997/9595373/819397800778762Tony Prest / Never Odd Or Even04/2014
5818(2^261724+22571)/3/7243/7321/18046081/4573074121178761Tony Prest / Never Odd Or Even04/2014
5819(2^261724+56495)/3/3/3/7/7/13/9041/512818459/2370858911978760Tony Prest / Never Odd Or Even04/2014
5820(2^261724+604119)/5/7/7/41/14107/19681/211777/90145981/103602083412778750Tony Prest / Never Odd Or Even05/2014
58212^261507-228778722Yves Minet04/2009
58228*10^78717+3978718Robert Price01/2017
5823(78557*2^261440+1)/378706Lelio R Paula06/2014
58246^101128-1643378693Enzo Doria02/2013
582520^60482+9978689Lelio R Paula03/2015
58262^261348-11063378674Enzo Doria05/2014
5827191^34487+278666Lelio R Paula05/2013
58282^261305-11013978661Enzo Doria04/2014
5829(82*10^78635-1)/978636Robert Price12/2014
583010^78632+8178633Robert Price03/2011
583110^78632-40269378632Patrick De Geest07/2013
58323*10^78631+1778632Robert Price03/2017
58332^261174-391178622Yves Minet04/2017
58342^261167+7484378620Enzo Doria04/2016
5835L(376121)+F(376122)78605Henri Lifchitz01/2007
583614^68580-2978602Lelio R Paula02/2015
5837(73*10^78576-1)/978577Robert Price01/2015
5838(17*2^261026-1)/4045178574Lelio R Paula02/2014
58392^261001-19578570Lelio R Paula05/2012
58405*2^260950+978555Lelio R Paula06/2014
58412^260931-760578549Lelio R Paula07/2013
584215^66778-3278538Lelio R Paula02/2015
5843(11*2^260896-1)/24578537Lelio R Paula02/2014
584430^53166+2978533Norbert Schneider03/2017
5845lucasU(2403,1,23229)-lucasU(2403,1,23228)78529Mike Oakes05/2009
58467*3^164574-278523Lelio R Paula06/2014
58472^260830-11213378518Enzo Doria06/2014
584813^70486+4278518Lelio R Paula03/2015
584911^75386-708078507Enzo Doria01/2013
5850(86^40583-1)/8578506Paul Bourdelais08/2017
58512^260711-5869578482Lelio R Paula07/2013
58522^260678-11106578472Enzo Doria05/2014
585318^62501-9778456Lelio R Paula02/2015
585453^45498-278452Lelio R Paula08/2013
58552^260513-11112178423Enzo Doria05/2014
585637845!2-6478412Robert Price06/2015
58572^260469-11069578409Enzo Doria05/2014
5858(11*10^78408-113)/378409Robert Price01/2017
58592^260447+841578403Lelio R Paula07/2013
586037837!2-6478394Robert Price06/2015
5861(19*2^260379-1)/5378382Lelio R Paula02/2014
58622^260377-11323378382Enzo Doria07/2014
58649^82138+6^82138-2^8213878380Mike Oakes08/2010
586369^42624+278380Lelio R Paula05/2013
58652^260369-185971378379Enzo Doria03/2016
586614*10^78362+108978364Jens K. Andersen11/2007
58675^112070-5478334Lelio R Paula02/2015
5868(10^(2*39165+1)+54*10^39165-1)/978331Robert Price04/2017
58692^260182-11345378323Enzo Doria07/2014
5870f(16405)78319Robert Price09/2017
5871(78557*2^260084+1)/51978296Lelio R Paula06/2014
587210^78288+9^(78288+1)78289Robert Price08/2016
587310^78288+3910978289Patrick De Geest12/2016
587410^78288-21629978288Patrick De Geest12/2016
58755^111997+3678283Lelio R Paula02/2015
5876(21^59183+1)/2278252Paul Bourdelais03/2010
5877(88*10^78242-7)/978243Robert Price11/2014
58782*6^100547+778242Lelio R Paula10/2014
58792^259860-11108978226Enzo Doria05/2014
588037^49875-278215Lelio R Paula09/2013
5881(13*10^78213+401)/978214Robert Price10/2017
58827*5^111893-478211Lelio R Paula10/2014
5883(11*2^259809-1)/143778209Lelio R Paula02/2014
58847^92511-678181Theodore Burton11/2005
5885(3^163859-4)/25378179Lelio R Paula10/2012
5886(27*2^259666-1)/62569178163Lelio R Paula02/2014
58873*10^78146+1778147Robert Price03/2017
5888(576^28307+1)/57778137Richard Fischer01/2018
58892^259503+7433378119Enzo Doria04/2016
5890(31*2^259504-1)/1336578116Lelio R Paula02/2014
5892(58547^16384+1)/278111Lelio R Paula11/2011
58916^100379+1378111Lelio R Paula03/2015
58932^259469-10990978108Enzo Doria04/2014
589415^66413-2678108Lelio R Paula02/2015
58957^92410-926678096Mike Oakes02/2010
58962^259398+7579978087Enzo Doria04/2016
58972^259394+187618978086Enzo Doria07/2016
5898PIPrime(78073)78073Eric W. Weisstein07/2006
58995*2^259344-778072Lelio R Paula06/2014
590014^68097-8778048Lelio R Paula02/2015
59012^259233-47557378037Paul Bourdelais03/2013
5902181^34554-278012Lelio R Paula10/2017
59033^163500-2878010Robert Price12/2013
5904(65*10^77992+691)/977993Robert Price08/2016
59052^259013-11259177971Enzo Doria06/2014
59067*10^77969-1177970Robert Price10/2017
59076^100193-100193^677966Norbert Schneider04/2017
59082^258863-11023577926Enzo Doria05/2014
59092^258852+160577923Lelio R Paula06/2013
5910(11*10^77909+49)/377910Robert Price05/2016
59112*7^92187-977908Lelio R Paula10/2014
59122^258763-11015577896Enzo Doria04/2014
59132^258694-11038777875Enzo Doria05/2014
591411^74773-9477869Lelio R Paula02/2015
59156^100067+12577868Lelio R Paula03/2015
591615^66205+877864Lelio R Paula07/2014
59175^111373-1813677847Enzo Doria05/2014
59182^258524-10987777824Enzo Doria04/2014
59196^100002-1664377817Enzo Doria02/2013
5920(13*10^77811+347)/977812Robert Price10/2017
592165^42916+2877803Lelio R Paula01/2016
5922(89*10^77781-17)/977782Robert Price11/2015
59232^258382-11040577781Enzo Doria05/2014
59245^111278-1499677780Enzo Doria02/2013
592514^67862+6177779Lelio R Paula02/2015
592610^77777+4848377778Patrick De Geest11/2010
592710^77777-18324377777Patrick De Geest11/2010
5928(27*2^258352+1)/4377772Lelio R Paula08/2012
5929337^30756-1000277740Enzo Doria07/2012
593010^77726+9977727Robert Price03/2011
593110^77726-8594777726Patrick De Geest06/2013
593289^39870-277723Lelio R Paula08/2013
59337^91966-3277721Lelio R Paula02/2015
593435^50327+277709Lelio R Paula05/2013
593524^56298+2377704Norbert Schneider12/2016
5936(2^258105+78557)/1977697Lelio R Paula10/2012
59372^258079+17977690Lelio R Paula03/2012
59382^258062-11311177685Enzo Doria07/2014
593980^40807-7977660Norbert Schneider03/2015
5940(10^77637+359)/977637Serge Batalov12/2014
59412^257862-16577625Lelio R Paula03/2012
5942(25*2^257853+1)/377623Lelio R Paula07/2012
5943(2^257869+1)/(3*18645362967379)77613Henri Lifchitz04/2005
59446^99728+7177604Lelio R Paula01/2015
59452^257778-11276777599Enzo Doria06/2014
5946(31*2^257771+1)/53777596Lelio R Paula07/2012
59472^257729-7377585Lelio R Paula03/2012
59482^257689-6377573Lelio R Paula03/2012
5949(47*10^77572+493)/977573Robert Price11/2017
5950(78557*2^257665+1)/610872577564Lelio R Paula06/2014
5951(3^162563+8)/288577559Lelio R Paula10/2012
59522^257636-11023577557Enzo Doria05/2014
5953(23*10^77556+97)/377557Robert Price02/2017
59542^257621-11007177552Enzo Doria04/2014
59552^257567-6487577536Lelio R Paula06/2013
59562*7^91674+977474Lelio R Paula10/2014
5957(17*10^77427-47)/377428Robert Price05/2017
595810^77418+84168377419Patrick De Geest06/2013
595910^77418-3377418Robert Price05/2011
596019^60539-3677415Lelio R Paula03/2015
596137401!!-102477397Robert Price11/2015
596211^74313-1875077390Enzo Doria12/2012
59642^257044-11288377378Enzo Doria06/2014
59638*10^77377+5177378Robert Price05/2017
59652*7^91553+977372Lelio R Paula10/2014
5966713^27118+27118^71377371Norbert Schneider12/2016
59672^256920-11115577341Enzo Doria05/2014
59682^256896-655577334Lelio R Paula06/2013
5969(52*10^77322-7)/977323Robert Price12/2014
59702^256849-11293977320Enzo Doria06/2014
5971(4*10^77309-31)/977309Erik Branger05/2011
5972(3^161988+7)/4186477284Lelio R Paula10/2012
5973(14^67421-1)/1377272Paul Bourdelais09/2008
59745*3^161923-477258Lelio R Paula06/2014
59752^256552-149977230Yves Minet05/2013
59762^256460-11275777203Enzo Doria06/2014
59772^256398+2329977184Yves Minet02/2011
59782^256391-1155*25639177182Henri Lifchitz03/2005
5979(2^256391-9)/5659377177Lelio R Paula10/2012
5980(2^256308+9)/1058577153Lelio R Paula10/2012
598221^58348-277149Lelio R Paula08/2013
5981(17*2^256291-1)/478577149Lelio R Paula02/2014
5983(5*2^256274-1)/214177144Lelio R Paula02/2014
598419^60321+8277136Lelio R Paula03/2015
59855*2^256233-377135Lelio R Paula06/2014
59863*2^256149+777110Lelio R Paula06/2014
59873^161594-10677100Lelio R Paula02/2015
59882^256114-18577098Lelio R Paula03/2012
59898^85349-85349^877078Norbert Schneider05/2017
59902^256043-278637777077Enzo Doria03/2016
59912^255973+186994777056Enzo Doria05/2016
599212^71393-4377046Lelio R Paula02/2015
599315^65490+4477023Lelio R Paula02/2015
5994(3^161411-7)/94077010Lelio R Paula10/2012
5996lucasU(1107,1,25297)-lucasU(1107,1,25296)77005Mike Oakes05/2009
5995(570^27943-1)/56977005Serge Batalov12/2016
59972^255750-7576989Lelio R Paula03/2012
59983*6^98926-576980Lelio R Paula10/2014
599918^61320-143376974Enzo Doria03/2013
60006^98916-1709376972Enzo Doria02/2013


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: December, 11 2018 05:54 (Time in France)

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