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 ?
25012^372638-1859441112176Enzo Doria03/2016
25023^235074-113056112159Enzo Doria07/2014
2503(91*10^112098-1)/9112100Robert Price04/2015
25042^372310-85061112077Paul Bourdelais02/2012
2505(10^112067+53)/9112067Serge Batalov07/2015
250675^59760+2112054Lelio R Paula08/2013
25072^372108+74221112016Enzo Doria04/2016
2508215^48018+48018^215112000Norbert Schneider10/2018
25092^371970-459491111975Enzo Doria05/2015
251041^69427-40^69427111971Robert Price07/2012
2511(10^111902+71)/9111902Serge Batalov07/2015
25122^371440-112865111815Enzo Doria06/2014
25132^371426-459161111811Enzo Doria05/2015
25142^371276-461267111766Enzo Doria07/2015
25152^371098-113261111712Enzo Doria07/2014
2516(7*10^111706-61)/9111706Erik Branger01/2011
25172^371044+1869391111696Enzo Doria05/2016
251888^57416+87111645Norbert Schneider11/2015
25192^370829-109693111631Enzo Doria04/2014
252015^94906-2111619Lelio R Paula11/2013
25222^370643-37111575Yves Minet01/2012
2521(2^370655-5)/2439111575Lelio R Paula03/2014
25232^370610-3911111565Yves Minet04/2017
2524286^45405+45405^286111532Norbert Schneider04/2015
25254*5^159563-9111531Lelio R Paula11/2014
2526(4^185225+23)/3111517Robert Price10/2018
25272^370393-2797093111500Enzo Doria03/2016
2528(21*2^370382-1)/629111495Lelio R Paula03/2014
25292^370292-2791979111469Enzo Doria03/2016
25302^370177-461551111435Enzo Doria07/2015
2531109^54683-108111413Norbert Schneider02/2017
2532numbpart(10^10+76282)111391Serge Batalov04/2015
25332^369974+733111374Lelio R Paula05/2013
2534121^53470+120111367Norbert Schneider10/2018
25352^369915-286267111356Enzo Doria07/2015
25362^369855-1615111338Lelio R Paula05/2017
25377*10^111325+3111326Robert Price08/2015
253851^65176+2111293Lelio R Paula08/2013
25392^369643-1865767111274Enzo Doria03/2016
25402^369603+885111262Lelio R Paula05/2017
2541L(532277)111240Renaud Lifchitz03/2004
2543105^55033-2111233Lelio R Paula10/2017
2542(35*10^111232-737)/9111233Robert Price07/2018
25442^369392+29835111199Lelio R Paula05/2017
25452^369354-3413111187Yves Minet12/2016
25462^369296-27111170Lelio R Paula02/2013
25472^369239-109837111153Enzo Doria05/2014
25482^369224-291839111148Enzo Doria07/2015
25492^369216+2798881111146Enzo Doria04/2016
255010^111111+163849111112Patrick De Geest03/2017
255110^111111-312911111111Patrick De Geest03/2017
25522^369092-216923111108Enzo Doria05/2014
25532^369081-55111105Lelio R Paula02/2013
255488^57124-87111077Norbert Schneider11/2015
25552^368980+753111075Lelio R Paula05/2013
25562^368946-3623111064Yves Minet03/2017
25572^368929+29835111059Lelio R Paula05/2017
25584^184463-3^184463111058Jean-Louis Charton12/2004
2559111^54298+110111057Norbert Schneider04/2017
2560(4*10^111032-7)/3111033Ray Chandler04/2011
25612^368641-460303110972Enzo Doria06/2015
25622^368619-109087110966Enzo Doria04/2014
25633*2^368489+7110927Lelio R Paula09/2014
2564(14*10^110922+61)/3110923Robert Price12/2018
256597411!4-2110913Robert Price07/2017
2566(9179*2^368330-1)/35110881Lelio R Paula05/2015
2567(34*10^110882-7)/9/13/29/1019374319110871Makoto Morimoto05/2016
25682^368050-64875110795Lelio R Paula05/2017
25692^368048+25110794Lelio R Paula02/2013
257069^60239-2110771Lelio R Paula10/2013
2571(23*2^367952+1)/15717110762Lelio R Paula03/2014
25722^367924-69110757Lelio R Paula02/2013
25732^367709-109723110692Enzo Doria04/2014
2574(3*2^367644-1)/107110671Lelio R Paula03/2014
2575(23*2^367398+1)/57963110595Lelio R Paula03/2014
25762^367215+1879223110543Enzo Doria09/2016
25772^367141+41110521Lelio R Paula02/2013
25782^367126+29835110516Lelio R Paula05/2017
2579(11*10^110496+49)/3110497Robert Price07/2018
2580(31*2^366976+1)/7110472Lelio R Paula03/2014
25812^366853+5711110434Lelio R Paula05/2017
2582(21181*2^366833+1)/3110432Lelio R Paula07/2014
25832^366816+315110423Lelio R Paula05/2017
25842^366775-2787037110411Enzo Doria03/2016
2585(112*10^110405-1)/3110407Serge Batalov12/2014
25862^366751+2797553110404Enzo Doria03/2016
25872^366748+255110403Lelio R Paula05/2017
25882^366738-2985110400Yves Minet09/2014
2589(23*2^366739+1)/74575110396Lelio R Paula03/2014
25902^366716+1871791110393Enzo Doria05/2016
25912^366649+1871687110373Enzo Doria05/2016
25922^366629-351205110367Enzo Doria06/2015
25932^366558+1874479110345Enzo Doria06/2016
259418^87853-4409110280Enzo Doria03/2013
25952^366218-23110243Lelio R Paula02/2013
2596(21*2^366193-1)/197110235Lelio R Paula03/2014
25972^366178-343991110231Enzo Doria07/2015
25982^365944+1871341110161Enzo Doria05/2016
25992^365838-461267110129Enzo Doria07/2015
26002^365763-6555110106Lelio R Paula04/2017
2601(2^365689+2^182845+1)/511008311/2006
26022^365666-459161110077Enzo Doria05/2015
26033*10^110076-7110077Robert Price08/2015
260413^98785-72110041Lelio R Paula03/2017
2605(25^78707+1)/26110027Robert Price06/2013
2606(7*10^110006-151)/9110006Robert Price02/2018
26076^141361-7110001Lelio R Paula11/2014
260820^84536+81109984Lelio R Paula03/2017
26095*2^365347-9109982Lelio R Paula09/2014
26109*6^141303+7109957Lelio R Paula11/2014
261178^58099+77109929Norbert Schneider02/2015
26122*10^109928-7109929Robert Price10/2015
2613(27*2^365137-1)/2021109916Lelio R Paula03/2014
2614(4441*29^75152-24)/7109905Curtis Bright05/2015
2615(2^365087+7)/6015109899Lelio R Paula01/2014
261618^87533-11109878Lelio R Paula04/2017
26172^364982-5109871Henri Lifchitz04/2006
26183*10^109861+59109862Robert Price08/2018
26192^364936-1867979109857Enzo Doria04/2016
26202^364867-112087109836Enzo Doria06/2014
26214^182415-85061109825Mike Oakes06/2011
2622(17^89227+16^89227)/33109788Robert Price08/2013
26232^364687-187109782Lelio R Paula01/2012
26242^364644+67109769Lelio R Paula01/2012
2625(9787*2^364625-1)/24947109763Lelio R Paula05/2015
2626(2^364616+5)/9109760Lelio R Paula01/2014
262712^101694+73109747Lelio R Paula03/2017
262813^98518-66109744Lelio R Paula03/2017
26292^364478-113261109719Enzo Doria07/2014
2630(2^364513+1)/(3*44290516579)109719Gord Palameta08/2018
2631(24737*2^364454+1)/3109716Lelio R Paula07/2014
2632(62*10^109673+1)/9109674Serge Batalov11/2010
26333^229824+340109654Lelio R Paula03/2017
2634(2*10^109645-71)/3109645Robert Price12/2017
26352^364169-112813109626Enzo Doria06/2014
263610^109615+21109616Lelio R Paula03/2017
263710^109615-456267109615Patrick De Geest03/2017
26382^364094-113109604Lelio R Paula01/2012
2639(4^182026+11)/3109591Robert Price02/2017
26402^364041-6883109588Lelio R Paula09/2011
264112^101545+11109586Lelio R Paula03/2017
26422^363842-2787101109528Enzo Doria03/2016
2643(22699*2^363782+1)/763109511Lelio R Paula07/2014
26442^363769+5711109506Lelio R Paula04/2017
2645(31*2^363748+1)/49109499Lelio R Paula03/2014
2646p(22245)#/2-8109462Robert Price01/2017
26472^363556+55109442Lelio R Paula01/2012
2648(55459*2^363411+1)/81109401Lelio R Paula07/2014
26492^363406+1871569109397Enzo Doria05/2016
2650(2^363349+7)/9109378Lelio R Paula01/2014
26513^229236+100109374Lelio R Paula03/2017
26522^363268-58695109355Lelio R Paula04/2017
26532^363191-112321109332Enzo Doria06/2014
26544*10^109316-63109317Robert Price10/2018
26552^363120+3109311Donovan Johnson04/2006
2656(10^109297-1)/9109297Paul Bourdelais, Harvey Dubner04/2007
26572^363042-114641109287Enzo Doria04/2015
26582^363020-112793109280Enzo Doria06/2014
2659(67607*2^362695+1)/70499109183Lelio R Paula07/2014
2660(9*2^362644+1)/5109167Lelio R Paula03/2014
26615^156181+38109166Lelio R Paula02/2017
26624*10^109142+91109143Robert Price08/2018
26633^228750+68109142Lelio R Paula03/2017
2664(10223*2^362376+1)/9109090Lelio R Paula07/2014
266565^60167-64^60167109078Robert Price08/2013
26667*3^228589-2109066Lelio R Paula09/2014
2667(78557*2^362188+1)/189109033Lelio R Paula07/2014
26682*7^129008+9109025Lelio R Paula11/2014
2669(5*10^108960+91)/3108961Robert Price04/2018
26702^361957+76367108960Enzo Doria05/2016
26712^361873-1411108935Yves Minet01/2013
2672(24737*2^361857+1)/35108933Lelio R Paula07/2014
2673115^52842-114108892Norbert Schneider07/2018
267413^97745-24108883Lelio R Paula03/2017
267517^88475+8108864Lelio R Paula04/2017
26762^361567+51108843Lelio R Paula01/2012
26772^361563-109501108842Enzo Doria04/2014
267812^100852+83108838Lelio R Paula03/2017
26792^361497+767108822Lelio R Paula01/2012
26802^361280-112349108757Enzo Doria06/2014
26812^361271-5955108754Lelio R Paula04/2017
268212^100757+19108736Lelio R Paula03/2017
268314^94849-61108710Lelio R Paula05/2017
2684(19^85009-5^85009)/14108705Robert Price07/2013
2685(11*2^361027+1)/40463108677Lelio R Paula03/2014
26862^360973+1299108664Lelio R Paula04/2017
26872^360959-109101108660Enzo Doria04/2014
26886*5^155454+7108659Lelio R Paula11/2014
268910^108656+79108657Lelio R Paula02/2017
269010^108656-50001108656Patrick De Geest03/2017
26912^360918-35108648Lelio R Paula01/2012
2692(11*2^360886-1)/7108638Lelio R Paula03/2014
26933*10^108624-49108625Robert Price07/2018
26942^360706-458903108584Enzo Doria04/2015
26952^360641-113185108564Enzo Doria07/2014
26962^360618+75019108557Enzo Doria04/2016
2697(14*10^108545-221)/9108546Robert Price04/2018
26983*5^155286+2108541Lelio R Paula11/2014
26997^128422+4108530Lelio R Paula11/2014
27007^128421-80108529Lelio R Paula03/2017
27012^360497+53807108521Yves Minet07/2010
27022^360366+1459108481Lelio R Paula09/2011
27032^360364-1499108481Yves Minet05/2013
270414^94642-23108472Lelio R Paula05/2017
27054*10^108412+9108413Robert Price05/2015
27062^360093-351103108399Enzo Doria06/2015
27072^360042+723108384Lelio R Paula01/2012
270885^56164-2108364Lelio R Paula10/2013
27092^359937-29323108352Enzo Doria07/2015
27102^359898-19997108341Enzo Doria06/2013
27112*5^154948-7108305Lelio R Paula11/2014
271210^108303+13108304Lelio R Paula02/2017
271310^108303-207959108303Patrick De Geest03/2017
27142^359730+753108290Lelio R Paula12/2011
2715(8*10^108273+13)/3108274Robert Price06/2018
27162^359650-19797108266Enzo Doria06/2013
271791^55259-90^55259108255Robert Price07/2015
27183^226845+68108233Lelio R Paula03/2017
27195^154822-12866108216Enzo Doria05/2014
2720(9*2^359480+1)/5108215Lelio R Paula03/2014
27212^359454-177108207Lelio R Paula12/2011
27226^139022-59108181Lelio R Paula02/2017
27232^359352-179108176Lelio R Paula12/2011
27242^359338-1858781108172Enzo Doria04/2016
272512^100230-97108167Lelio R Paula03/2017
2726(25*2^359297-1)/137108159Lelio R Paula03/2014
2727(2^359262-509203)/9108148Lelio R Paula12/2013
2728(3^226648-8)/352715633108131Lelio R Paula12/2013
27296^138956-59108129Lelio R Paula02/2017
27302^359184+30285108126Lelio R Paula04/2017
273113^97059+10108119Lelio R Paula03/2017
27322^359137-81108112Lelio R Paula12/2011
2734(15185*2^359105-1)/567108103Lelio R Paula05/2015
27332^359110-11655108103Lelio R Paula04/2017
27358*6^138875+5108067Lelio R Paula11/2014
27362^358987-216919108066Enzo Doria05/2014
273739^67918-67918^39108062Norbert Schneider02/2017
27382^358785-16933108006Enzo Doria05/2013
2739(2^358783+5)/33383108000Lelio R Paula12/2013
27406^138770-77107985Lelio R Paula02/2017
2741(2^358727-1017)/94178479107980Lelio R Paula12/2013
274210^107976+19107977Lelio R Paula02/2017
274310^107976-202103107976Patrick De Geest03/2017
27442^358684+75781107975Enzo Doria04/2016
274599^54094+2107952Lelio R Paula06/2013
2746(2^358583-9)/391107942Lelio R Paula12/2013
27472^358538+55107931Lelio R Paula12/2011
27482^358517-109009107925Enzo Doria03/2014
27493^226159+104107906Lelio R Paula03/2017
27502^358310-11655107863Lelio R Paula03/2017


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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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