PRP Records

Probable Primes Top 10000

(252402 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 ?
25012^373040+2792761112297Enzo Doria03/2016
2502EPrime(112280)112280Eric W. Weisstein10/2010
25032^372950+7112270Lelio R Paula03/2013
25042^372945+1872167112268Enzo Doria05/2016
25052^372695+72113112193Enzo Doria04/2016
25062^372689-2563112191Yves Minet07/2014
25072^372638-1859441112176Enzo Doria03/2016
25083^235074-113056112159Enzo Doria07/2014
2509(91*10^112098-1)/9112100Robert Price04/2015
25102^372310-85061112077Paul Bourdelais02/2012
2511(10^112067+53)/9112067Serge Batalov07/2015
251275^59760+2112054Lelio R Paula08/2013
25132^372108+74221112016Enzo Doria04/2016
2514215^48018+48018^215112000Norbert Schneider10/2018
25152^371970-459491111975Enzo Doria05/2015
251641^69427-40^69427111971Robert Price07/2012
2517(10^111902+71)/9111902Serge Batalov07/2015
25182^371440-112865111815Enzo Doria06/2014
25192^371426-459161111811Enzo Doria05/2015
25202^371276-461267111766Enzo Doria07/2015
25212^371098-113261111712Enzo Doria07/2014
2522(7*10^111706-61)/9111706Erik Branger01/2011
25232^371044+1869391111696Enzo Doria05/2016
252488^57416+87111645Norbert Schneider11/2015
25252^370829-109693111631Enzo Doria04/2014
252615^94906-2111619Lelio R Paula11/2013
25282^370643-37111575Yves Minet01/2012
2527(2^370655-5)/2439111575Lelio R Paula03/2014
25292^370610-3911111565Yves Minet04/2017
2530286^45405+45405^286111532Norbert Schneider04/2015
25314*5^159563-9111531Lelio R Paula11/2014
2532(4^185225+23)/3111517Robert Price10/2018
25332^370393-2797093111500Enzo Doria03/2016
2534(21*2^370382-1)/629111495Lelio R Paula03/2014
25352^370292-2791979111469Enzo Doria03/2016
25362^370177-461551111435Enzo Doria07/2015
2537109^54683-108111413Norbert Schneider02/2017
2538numbpart(10^10+76282)111391Serge Batalov04/2015
25392^369974+733111374Lelio R Paula05/2013
2540121^53470+120111367Norbert Schneider10/2018
25412^369915-286267111356Enzo Doria07/2015
25422^369855-1615111338Lelio R Paula05/2017
25437*10^111325+3111326Robert Price08/2015
254451^65176+2111293Lelio R Paula08/2013
25452^369643-1865767111274Enzo Doria03/2016
25462^369603+885111262Lelio R Paula05/2017
2547L(532277)111240Renaud Lifchitz03/2004
2548105^55033-2111233Lelio R Paula10/2017
2549(35*10^111232-737)/9111233Robert Price07/2018
25502^369392+29835111199Lelio R Paula05/2017
25512^369354-3413111187Yves Minet12/2016
25522^369296-27111170Lelio R Paula02/2013
25532^369239-109837111153Enzo Doria05/2014
25542^369224-291839111148Enzo Doria07/2015
25552^369216+2798881111146Enzo Doria04/2016
255610^111111+163849111112Patrick De Geest03/2017
255710^111111-312911111111Patrick De Geest03/2017
25582^369092-216923111108Enzo Doria05/2014
25592^369081-55111105Lelio R Paula02/2013
256088^57124-87111077Norbert Schneider11/2015
25612^368980+753111075Lelio R Paula05/2013
25622^368946-3623111064Yves Minet03/2017
25632^368929+29835111059Lelio R Paula05/2017
25644^184463-3^184463111058Jean-Louis Charton12/2004
2565111^54298+110111057Norbert Schneider04/2017
2566(4*10^111032-7)/3111033Ray Chandler04/2011
25672^368641-460303110972Enzo Doria06/2015
25682^368619-109087110966Enzo Doria04/2014
25693*2^368489+7110927Lelio R Paula09/2014
2570(14*10^110922+61)/3110923Robert Price12/2018
257197411!4-2110913Robert Price07/2017
2572(9179*2^368330-1)/35110881Lelio R Paula05/2015
2573(34*10^110882-7)/9/13/29/1019374319110871Makoto Morimoto05/2016
25742^368050-64875110795Lelio R Paula05/2017
25752^368048+25110794Lelio R Paula02/2013
257669^60239-2110771Lelio R Paula10/2013
2577(23*2^367952+1)/15717110762Lelio R Paula03/2014
25782^367924-69110757Lelio R Paula02/2013
25792^367709-109723110692Enzo Doria04/2014
2580(3*2^367644-1)/107110671Lelio R Paula03/2014
2581(23*2^367398+1)/57963110595Lelio R Paula03/2014
25822^367215+1879223110543Enzo Doria09/2016
25832^367141+41110521Lelio R Paula02/2013
25842^367126+29835110516Lelio R Paula05/2017
2585(11*10^110496+49)/3110497Robert Price07/2018
2586(31*2^366976+1)/7110472Lelio R Paula03/2014
25872^366853+5711110434Lelio R Paula05/2017
2588(21181*2^366833+1)/3110432Lelio R Paula07/2014
25892^366816+315110423Lelio R Paula05/2017
25902^366775-2787037110411Enzo Doria03/2016
2591(112*10^110405-1)/3110407Serge Batalov12/2014
25922^366751+2797553110404Enzo Doria03/2016
25932^366748+255110403Lelio R Paula05/2017
25942^366738-2985110400Yves Minet09/2014
2595(23*2^366739+1)/74575110396Lelio R Paula03/2014
25962^366716+1871791110393Enzo Doria05/2016
25972^366649+1871687110373Enzo Doria05/2016
25982^366629-351205110367Enzo Doria06/2015
25992^366558+1874479110345Enzo Doria06/2016
260018^87853-4409110280Enzo Doria03/2013
26012^366218-23110243Lelio R Paula02/2013
2602(21*2^366193-1)/197110235Lelio R Paula03/2014
26032^366178-343991110231Enzo Doria07/2015
26042^365944+1871341110161Enzo Doria05/2016
26052^365838-461267110129Enzo Doria07/2015
26062^365763-6555110106Lelio R Paula04/2017
2607(2^365689+2^182845+1)/511008311/2006
26082^365666-459161110077Enzo Doria05/2015
26093*10^110076-7110077Robert Price08/2015
261013^98785-72110041Lelio R Paula03/2017
2611(25^78707+1)/26110027Robert Price06/2013
2612(7*10^110006-151)/9110006Robert Price02/2018
26136^141361-7110001Lelio R Paula11/2014
261420^84536+81109984Lelio R Paula03/2017
26155*2^365347-9109982Lelio R Paula09/2014
26169*6^141303+7109957Lelio R Paula11/2014
261778^58099+77109929Norbert Schneider02/2015
26182*10^109928-7109929Robert Price10/2015
2619(27*2^365137-1)/2021109916Lelio R Paula03/2014
2620(4441*29^75152-24)/7109905Curtis Bright05/2015
2621(2^365087+7)/6015109899Lelio R Paula01/2014
262218^87533-11109878Lelio R Paula04/2017
26232^364982-5109871Henri Lifchitz04/2006
26243*10^109861+59109862Robert Price08/2018
26252^364936-1867979109857Enzo Doria04/2016
26262^364867-112087109836Enzo Doria06/2014
26274^182415-85061109825Mike Oakes06/2011
2628(17^89227+16^89227)/33109788Robert Price08/2013
26292^364687-187109782Lelio R Paula01/2012
26302^364644+67109769Lelio R Paula01/2012
2631(9787*2^364625-1)/24947109763Lelio R Paula05/2015
2632(2^364616+5)/9109760Lelio R Paula01/2014
263312^101694+73109747Lelio R Paula03/2017
263413^98518-66109744Lelio R Paula03/2017
26352^364478-113261109719Enzo Doria07/2014
2636(2^364513+1)/(3*44290516579)109719Gord Palameta08/2018
2637(24737*2^364454+1)/3109716Lelio R Paula07/2014
2638(62*10^109673+1)/9109674Serge Batalov11/2010
26393^229824+340109654Lelio R Paula03/2017
2640(2*10^109645-71)/3109645Robert Price12/2017
26412^364169-112813109626Enzo Doria06/2014
264210^109615+21109616Lelio R Paula03/2017
264310^109615-456267109615Patrick De Geest03/2017
26442^364094-113109604Lelio R Paula01/2012
2645(4^182026+11)/3109591Robert Price02/2017
26462^364041-6883109588Lelio R Paula09/2011
264712^101545+11109586Lelio R Paula03/2017
26482^363842-2787101109528Enzo Doria03/2016
2649(22699*2^363782+1)/763109511Lelio R Paula07/2014
26502^363769+5711109506Lelio R Paula04/2017
2651(31*2^363748+1)/49109499Lelio R Paula03/2014
2652p(22245)#/2-8109462Robert Price01/2017
26532^363556+55109442Lelio R Paula01/2012
2654(55459*2^363411+1)/81109401Lelio R Paula07/2014
26552^363406+1871569109397Enzo Doria05/2016
2656(2^363349+7)/9109378Lelio R Paula01/2014
26573^229236+100109374Lelio R Paula03/2017
26582^363268-58695109355Lelio R Paula04/2017
26592^363191-112321109332Enzo Doria06/2014
26604*10^109316-63109317Robert Price10/2018
26612^363120+3109311Donovan Johnson04/2006
2662(10^109297-1)/9109297Paul Bourdelais, Harvey Dubner04/2007
26632^363042-114641109287Enzo Doria04/2015
26642^363020-112793109280Enzo Doria06/2014
2665(67607*2^362695+1)/70499109183Lelio R Paula07/2014
2666(9*2^362644+1)/5109167Lelio R Paula03/2014
26675^156181+38109166Lelio R Paula02/2017
26684*10^109142+91109143Robert Price08/2018
26693^228750+68109142Lelio R Paula03/2017
2670(10223*2^362376+1)/9109090Lelio R Paula07/2014
267165^60167-64^60167109078Robert Price08/2013
26727*3^228589-2109066Lelio R Paula09/2014
2673(78557*2^362188+1)/189109033Lelio R Paula07/2014
26742*7^129008+9109025Lelio R Paula11/2014
2675(5*10^108960+91)/3108961Robert Price04/2018
26762^361957+76367108960Enzo Doria05/2016
26772^361873-1411108935Yves Minet01/2013
2678(24737*2^361857+1)/35108933Lelio R Paula07/2014
2679115^52842-114108892Norbert Schneider07/2018
268013^97745-24108883Lelio R Paula03/2017
268117^88475+8108864Lelio R Paula04/2017
26822^361567+51108843Lelio R Paula01/2012
26832^361563-109501108842Enzo Doria04/2014
268412^100852+83108838Lelio R Paula03/2017
26852^361497+767108822Lelio R Paula01/2012
26862^361280-112349108757Enzo Doria06/2014
26872^361271-5955108754Lelio R Paula04/2017
268812^100757+19108736Lelio R Paula03/2017
268914^94849-61108710Lelio R Paula05/2017
2690(19^85009-5^85009)/14108705Robert Price07/2013
2691(11*2^361027+1)/40463108677Lelio R Paula03/2014
26922^360973+1299108664Lelio R Paula04/2017
26932^360959-109101108660Enzo Doria04/2014
26946*5^155454+7108659Lelio R Paula11/2014
269510^108656+79108657Lelio R Paula02/2017
269610^108656-50001108656Patrick De Geest03/2017
26972^360918-35108648Lelio R Paula01/2012
2698(11*2^360886-1)/7108638Lelio R Paula03/2014
26993*10^108624-49108625Robert Price07/2018
27002^360706-458903108584Enzo Doria04/2015
27012^360641-113185108564Enzo Doria07/2014
27022^360618+75019108557Enzo Doria04/2016
2703(14*10^108545-221)/9108546Robert Price04/2018
27043*5^155286+2108541Lelio R Paula11/2014
27057^128422+4108530Lelio R Paula11/2014
27067^128421-80108529Lelio R Paula03/2017
27072^360497+53807108521Yves Minet07/2010
27082^360366+1459108481Lelio R Paula09/2011
27092^360364-1499108481Yves Minet05/2013
271014^94642-23108472Lelio R Paula05/2017
27114*10^108412+9108413Robert Price05/2015
27122^360093-351103108399Enzo Doria06/2015
27132^360042+723108384Lelio R Paula01/2012
271485^56164-2108364Lelio R Paula10/2013
27152^359937-29323108352Enzo Doria07/2015
27162^359898-19997108341Enzo Doria06/2013
27172*5^154948-7108305Lelio R Paula11/2014
271810^108303+13108304Lelio R Paula02/2017
271910^108303-207959108303Patrick De Geest03/2017
27202^359730+753108290Lelio R Paula12/2011
2721(8*10^108273+13)/3108274Robert Price06/2018
27222^359650-19797108266Enzo Doria06/2013
272391^55259-90^55259108255Robert Price07/2015
27243^226845+68108233Lelio R Paula03/2017
27255^154822-12866108216Enzo Doria05/2014
2726(9*2^359480+1)/5108215Lelio R Paula03/2014
27272^359454-177108207Lelio R Paula12/2011
27286^139022-59108181Lelio R Paula02/2017
27292^359352-179108176Lelio R Paula12/2011
27302^359338-1858781108172Enzo Doria04/2016
273112^100230-97108167Lelio R Paula03/2017
2732(25*2^359297-1)/137108159Lelio R Paula03/2014
2733(2^359262-509203)/9108148Lelio R Paula12/2013
2734(3^226648-8)/352715633108131Lelio R Paula12/2013
27356^138956-59108129Lelio R Paula02/2017
27362^359184+30285108126Lelio R Paula04/2017
273713^97059+10108119Lelio R Paula03/2017
27382^359137-81108112Lelio R Paula12/2011
2740(15185*2^359105-1)/567108103Lelio R Paula05/2015
27392^359110-11655108103Lelio R Paula04/2017
27418*6^138875+5108067Lelio R Paula11/2014
27422^358987-216919108066Enzo Doria05/2014
274339^67918-67918^39108062Norbert Schneider02/2017
27442^358785-16933108006Enzo Doria05/2013
2745(2^358783+5)/33383108000Lelio R Paula12/2013
27466^138770-77107985Lelio R Paula02/2017
2747(2^358727-1017)/94178479107980Lelio R Paula12/2013
274810^107976+19107977Lelio R Paula02/2017
274910^107976-202103107976Patrick De Geest03/2017
27502^358684+75781107975Enzo Doria04/2016


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: December, 17 2018 20:37 (Time in France)

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