PRP Records

Probable Primes Top 10000

(255244 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 ?
2751262147#+316847113552Makoto Morimoto02/2016
27522^377026-458903113497Enzo Doria04/2015
2753(29*10^113468-17)/3113469Robert Price09/2019
275435^73477-34^73477113454Robert Price05/2012
27552^376790+27113426Lelio R Paula03/2013
27562^376786-112701113424Enzo Doria06/2014
27572^376731+21113408Lelio R Paula03/2013
27592^376634+1871245113379Enzo Doria05/2016
2758(4^188318+17)/3113379Robert Price02/2017
27602^376576-344369113361Enzo Doria07/2015
27612^376549-4543113353Yves Minet03/2019
2762(17*2^376526-1)/223113345Lelio R Paula03/2014
2763(27*2^376441-1)/811113319Lelio R Paula03/2014
27642^376128-21237113226Enzo Doria06/2013
27655*10^113224-81113225Robert Price01/2019
2766(46*10^113162+521)/9113163Robert Price02/2019
27672^375638-1787171113079Enzo Doria03/2016
27682^375537+4847113048Yves Minet02/2011
2769(17^91837+16^91837)/33113000Robert Price08/2013
27705*F(270343)*(F(270343)+1)+1112997Serge Batalov04/2015
27712^375350-3221112992Yves Minet07/2011
2772(13*2^375306+1)/7112979Lelio R Paula03/2014
27732^375305+76757112979Enzo Doria05/2016
27742^375258+1874989112964Enzo Doria07/2016
2775(29^77237-1)/28112950Robert Price04/2012
27762^375154+74959112933Enzo Doria04/2016
27772^374993-2787163112885Enzo Doria11/2015
2778123^53970+2112793Lelio R Paula06/2013
27792^374640-4685112778Yves Minet05/2019
2780p(22852)#/2+512112745Robert Price05/2017
2781(11*10^112742-131)/3112743Robert Price09/2018
27822^374441-21049112718Enzo Doria06/2013
2783(2^374321+1)/3112682H.&R. Lifchitz12/2000
2784(13^101089-1)/12112607Paul Bourdelais03/2010
27853^236011-8828112606Enzo Doria05/2014
278639^70666+2112435Lelio R Paula11/2013
2787(2^373350-7)/3112390Lelio R Paula03/2014
27882^373306-1840931112377Enzo Doria06/2015
27892^373117+1872107112320Enzo Doria05/2016
27902^373040+2792761112297Enzo Doria03/2016
2791EPrime(112280)112280Eric W. Weisstein10/2010
27922^372950+7112270Lelio R Paula03/2013
27932^372945+1872167112268Enzo Doria05/2016
27942^372695+72113112193Enzo Doria04/2016
27952^372689-2563112191Yves Minet07/2014
27962^372638-1859441112176Enzo Doria03/2016
27973^235074-113056112159Enzo Doria07/2014
2798131^52949-130112108Norbert Schneider02/2019
2799(91*10^112098-1)/9112100Robert Price04/2015
28002^372310-85061112077Paul Bourdelais02/2012
2801(10^112067+53)/9112067Serge Batalov07/2015
280275^59760+2112054Lelio R Paula08/2013
28038*10^112018-49112019Robert Price08/2019
28042^372108+74221112016Enzo Doria04/2016
28055*10^112003+81112004Robert Price03/2019
2806215^48018+48018^215112000Norbert Schneider10/2018
28072^371970-459491111975Enzo Doria05/2015
280841^69427-40^69427111971Robert Price07/2012
2809(10^111902+71)/9111902Serge Batalov07/2015
28102^371440-112865111815Enzo Doria06/2014
28112^371426-459161111811Enzo Doria05/2015
28122^371276-461267111766Enzo Doria07/2015
281398079!4-1024111747Robert Price11/2019
28142^371098-113261111712Enzo Doria07/2014
2815(7*10^111706-61)/9111706Erik Branger01/2011
28162^371044+1869391111696Enzo Doria05/2016
281788^57416+87111645Norbert Schneider11/2015
28182^370829-109693111631Enzo Doria04/2014
281915^94906-2111619Lelio R Paula11/2013
28202^370695-4627111591Yves Minet05/2019
28222^370643-37111575Yves Minet01/2012
2821(2^370655-5)/2439111575Lelio R Paula03/2014
28232^370610-3911111565Yves Minet04/2017
2824286^45405+45405^286111532Norbert Schneider04/2015
28254*5^159563-9111531Lelio R Paula11/2014
2826(4^185225+23)/3111517Robert Price10/2018
28272^370393-2797093111500Enzo Doria03/2016
2828(21*2^370382-1)/629111495Lelio R Paula03/2014
28292^370292-2791979111469Enzo Doria03/2016
28302^370177-461551111435Enzo Doria07/2015
2831109^54683-108111413Norbert Schneider02/2017
2832numbpart(10^10+76282)111391Serge Batalov04/2015
28332^369974+733111374Lelio R Paula05/2013
2834121^53470+120111367Norbert Schneider10/2018
28352^369915-286267111356Enzo Doria07/2015
28362^369855-1615111338Lelio R Paula05/2017
28377*10^111325+3111326Robert Price08/2015
283851^65176+2111293Lelio R Paula08/2013
28392^369643-1865767111274Enzo Doria03/2016
28402^369603+885111262Lelio R Paula05/2017
2841L(532277)111240Renaud Lifchitz03/2004
2842105^55033-2111233Lelio R Paula10/2017
2843(35*10^111232-737)/9111233Robert Price07/2018
28449*10^111201-29111202Robert Price09/2019
28452^369392+29835111199Lelio R Paula05/2017
28462^369354-3413111187Yves Minet12/2016
28472^369296-27111170Lelio R Paula02/2013
28482^369239-109837111153Enzo Doria05/2014
28492^369224-291839111148Enzo Doria07/2015
28502^369216+2798881111146Enzo Doria04/2016
285110^111111+163849111112Patrick De Geest03/2017
285210^111111-312911111111Patrick De Geest03/2017
28532^369092-216923111108Enzo Doria05/2014
28542^369081-55111105Lelio R Paula02/2013
285588^57124-87111077Norbert Schneider11/2015
28562^368980+753111075Lelio R Paula05/2013
28572^368946-3623111064Yves Minet03/2017
28582^368929+29835111059Lelio R Paula05/2017
28594^184463-3^184463111058Jean-Louis Charton12/2004
2860111^54298+110111057Norbert Schneider04/2017
2861(4*10^111032-7)/3111033Ray Chandler04/2011
28622^368641-460303110972Enzo Doria06/2015
28632^368619-109087110966Enzo Doria04/2014
2864(74*10^110961+313)/9110962Robert Price06/2019
28653*2^368489+7110927Lelio R Paula09/2014
2866(14*10^110922+61)/3110923Robert Price12/2018
286797411!4-2110913Robert Price07/2017
2868(9179*2^368330-1)/35110881Lelio R Paula05/2015
2869(34*10^110882-7)/9/13/29/1019374319110871Makoto Morimoto05/2016
28702^368050-64875110795Lelio R Paula05/2017
28712^368048+25110794Lelio R Paula02/2013
287269^60239-2110771Lelio R Paula10/2013
2873(23*2^367952+1)/15717110762Lelio R Paula03/2014
28742^367924-69110757Lelio R Paula02/2013
28752^367709-109723110692Enzo Doria04/2014
2876(3*2^367644-1)/107110671Lelio R Paula03/2014
2877(23*2^367398+1)/57963110595Lelio R Paula03/2014
2878140^51515-139110558Norbert Schneider04/2019
28792^367215+1879223110543Enzo Doria09/2016
28802^367141+41110521Lelio R Paula02/2013
28812^367126+29835110516Lelio R Paula05/2017
2882(11*10^110496+49)/3110497Robert Price07/2018
2883(31*2^366976+1)/7110472Lelio R Paula03/2014
28847*10^110468-23110469Robert Price07/2019
28852^366853+5711110434Lelio R Paula05/2017
2886(21181*2^366833+1)/3110432Lelio R Paula07/2014
28872^366816+315110423Lelio R Paula05/2017
28882^366775-2787037110411Enzo Doria03/2016
2889(112*10^110405-1)/3110407Serge Batalov12/2014
28902^366751+2797553110404Enzo Doria03/2016
28912^366748+255110403Lelio R Paula05/2017
28922^366738-2985110400Yves Minet09/2014
2893(23*2^366739+1)/74575110396Lelio R Paula03/2014
28942^366716+1871791110393Enzo Doria05/2016
28952^366649+1871687110373Enzo Doria05/2016
28962^366629-351205110367Enzo Doria06/2015
28972^366558+1874479110345Enzo Doria06/2016
2898(23*10^110290+19)/3110291Robert Price07/2019
289918^87853-4409110280Enzo Doria03/2013
29002^366218-23110243Lelio R Paula02/2013
2901(21*2^366193-1)/197110235Lelio R Paula03/2014
29022^366178-343991110231Enzo Doria07/2015
29032^365944+1871341110161Enzo Doria05/2016
29042^365838-461267110129Enzo Doria07/2015
29052^365763-6555110106Lelio R Paula04/2017
2906(2^365689+2^182845+1)/511008311/2006
29072^365666-459161110077Enzo Doria05/2015
29083*10^110076-7110077Robert Price08/2015
290913^98785-72110041Lelio R Paula03/2017
2910(25^78707+1)/26110027Robert Price06/2013
2911(7*10^110006-151)/9110006Robert Price02/2018
29126^141361-7110001Lelio R Paula11/2014
291320^84536+81109984Lelio R Paula03/2017
29145*2^365347-9109982Lelio R Paula09/2014
29159*6^141303+7109957Lelio R Paula11/2014
291678^58099+77109929Norbert Schneider02/2015
29172*10^109928-7109929Robert Price10/2015
2918(27*2^365137-1)/2021109916Lelio R Paula03/2014
2919(4441*29^75152-24)/7109905Curtis Bright05/2015
2920(2^365087+7)/6015109899Lelio R Paula01/2014
292118^87533-11109878Lelio R Paula04/2017
29222^364982-5109871Henri Lifchitz04/2006
29233*10^109861+59109862Robert Price08/2018
29242^364936-1867979109857Enzo Doria04/2016
29252^364867-112087109836Enzo Doria06/2014
29264^182415-85061109825Mike Oakes06/2011
2927(17^89227+16^89227)/33109788Robert Price08/2013
29282^364687-187109782Lelio R Paula01/2012
29292^364644+67109769Lelio R Paula01/2012
2930(9787*2^364625-1)/24947109763Lelio R Paula05/2015
2931(2^364616+5)/9109760Lelio R Paula01/2014
2932(55*10^109759+89)/9109760Robert Price03/2019
293312^101694+73109747Lelio R Paula03/2017
293413^98518-66109744Lelio R Paula03/2017
29362^364478-113261109719Enzo Doria07/2014
2935(2^364513+1)/(3*44290516579)109719Gord Palameta08/2018
2937(24737*2^364454+1)/3109716Lelio R Paula07/2014
2938(62*10^109673+1)/9109674Serge Batalov11/2010
29393^229824+340109654Lelio R Paula03/2017
2940(2*10^109645-71)/3109645Robert Price12/2017
29412^364169-112813109626Enzo Doria06/2014
294210^109615+21109616Lelio R Paula03/2017
294310^109615-456267109615Patrick De Geest03/2017
29442^364094-113109604Lelio R Paula01/2012
2945(4^182026+11)/3109591Robert Price02/2017
29462^364041-6883109588Lelio R Paula09/2011
294712^101545+11109586Lelio R Paula03/2017
29482^363842-2787101109528Enzo Doria03/2016
2949(22699*2^363782+1)/763109511Lelio R Paula07/2014
29502^363769+5711109506Lelio R Paula04/2017
2951(31*2^363748+1)/49109499Lelio R Paula03/2014
2952p(22245)#/2-8109462Robert Price01/2017
29532^363556+55109442Lelio R Paula01/2012
2954(55459*2^363411+1)/81109401Lelio R Paula07/2014
29552^363406+1871569109397Enzo Doria05/2016
2956(2^363349+7)/9109378Lelio R Paula01/2014
29573^229236+100109374Lelio R Paula03/2017
29582^363268-58695109355Lelio R Paula04/2017
29592^363191-112321109332Enzo Doria06/2014
29604*10^109316-63109317Robert Price10/2018
29612^363120+3109311Donovan Johnson04/2006
2962(10^109297-1)/9109297Paul Bourdelais, Harvey Dubner04/2007
29632^363042-114641109287Enzo Doria04/2015
29642^363020-112793109280Enzo Doria06/2014
2965(67607*2^362695+1)/70499109183Lelio R Paula07/2014
2966(9*2^362644+1)/5109167Lelio R Paula03/2014
29675^156181+38109166Lelio R Paula02/2017
29684*10^109142+91109143Robert Price08/2018
29693^228750+68109142Lelio R Paula03/2017
2970(10223*2^362376+1)/9109090Lelio R Paula07/2014
297165^60167-64^60167109078Robert Price08/2013
29727*3^228589-2109066Lelio R Paula09/2014
2973(78557*2^362188+1)/189109033Lelio R Paula07/2014
29742*7^129008+9109025Lelio R Paula11/2014
2975(5*10^108960+91)/3108961Robert Price04/2018
29762^361957+76367108960Enzo Doria05/2016
29772^361873-1411108935Yves Minet01/2013
2978(24737*2^361857+1)/35108933Lelio R Paula07/2014
2979115^52842-114108892Norbert Schneider07/2018
298013^97745-24108883Lelio R Paula03/2017
298117^88475+8108864Lelio R Paula04/2017
29822^361567+51108843Lelio R Paula01/2012
29832^361563-109501108842Enzo Doria04/2014
298412^100852+83108838Lelio R Paula03/2017
29852^361497+767108822Lelio R Paula01/2012
29862^361280-112349108757Enzo Doria06/2014
29872^361271-5955108754Lelio R Paula04/2017
298812^100757+19108736Lelio R Paula03/2017
298914^94849-61108710Lelio R Paula05/2017
2990(19^85009-5^85009)/14108705Robert Price07/2013
2991(11*2^361027+1)/40463108677Lelio R Paula03/2014
29922^360973+1299108664Lelio R Paula04/2017
29932^360959-109101108660Enzo Doria04/2014
29946*5^155454+7108659Lelio R Paula11/2014
299510^108656+79108657Lelio R Paula02/2017
299610^108656-50001108656Patrick De Geest03/2017
29972^360918-35108648Lelio R Paula01/2012
2998(11*2^360886-1)/7108638Lelio R Paula03/2014
29993*10^108624-49108625Robert Price07/2018
30002^360706-458903108584Enzo Doria04/2015


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: November, 10 2019 12:07 (Time in France)

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