PRP Records

Probable Primes Top 10000

(253476 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 ?
27512^370610-3911111565Yves Minet04/2017
2752286^45405+45405^286111532Norbert Schneider04/2015
27534*5^159563-9111531Lelio R Paula11/2014
2754(4^185225+23)/3111517Robert Price10/2018
27552^370393-2797093111500Enzo Doria03/2016
2756(21*2^370382-1)/629111495Lelio R Paula03/2014
27572^370292-2791979111469Enzo Doria03/2016
27582^370177-461551111435Enzo Doria07/2015
2759109^54683-108111413Norbert Schneider02/2017
2760numbpart(10^10+76282)111391Serge Batalov04/2015
27612^369974+733111374Lelio R Paula05/2013
2762121^53470+120111367Norbert Schneider10/2018
27632^369915-286267111356Enzo Doria07/2015
27642^369855-1615111338Lelio R Paula05/2017
27657*10^111325+3111326Robert Price08/2015
276651^65176+2111293Lelio R Paula08/2013
27672^369643-1865767111274Enzo Doria03/2016
27682^369603+885111262Lelio R Paula05/2017
2769L(532277)111240Renaud Lifchitz03/2004
2770105^55033-2111233Lelio R Paula10/2017
2771(35*10^111232-737)/9111233Robert Price07/2018
27722^369392+29835111199Lelio R Paula05/2017
27732^369354-3413111187Yves Minet12/2016
27742^369296-27111170Lelio R Paula02/2013
27752^369239-109837111153Enzo Doria05/2014
27762^369224-291839111148Enzo Doria07/2015
27772^369216+2798881111146Enzo Doria04/2016
277810^111111+163849111112Patrick De Geest03/2017
277910^111111-312911111111Patrick De Geest03/2017
27802^369092-216923111108Enzo Doria05/2014
27812^369081-55111105Lelio R Paula02/2013
278288^57124-87111077Norbert Schneider11/2015
27832^368980+753111075Lelio R Paula05/2013
27842^368946-3623111064Yves Minet03/2017
27852^368929+29835111059Lelio R Paula05/2017
27864^184463-3^184463111058Jean-Louis Charton12/2004
2787111^54298+110111057Norbert Schneider04/2017
2788(4*10^111032-7)/3111033Ray Chandler04/2011
27892^368641-460303110972Enzo Doria06/2015
27902^368619-109087110966Enzo Doria04/2014
2791(74*10^110961+313)/9110962Robert Price06/2019
27923*2^368489+7110927Lelio R Paula09/2014
2793(14*10^110922+61)/3110923Robert Price12/2018
279497411!4-2110913Robert Price07/2017
2795(9179*2^368330-1)/35110881Lelio R Paula05/2015
2796(34*10^110882-7)/9/13/29/1019374319110871Makoto Morimoto05/2016
27972^368050-64875110795Lelio R Paula05/2017
27982^368048+25110794Lelio R Paula02/2013
279969^60239-2110771Lelio R Paula10/2013
2800(23*2^367952+1)/15717110762Lelio R Paula03/2014
28012^367924-69110757Lelio R Paula02/2013
28022^367709-109723110692Enzo Doria04/2014
2803(3*2^367644-1)/107110671Lelio R Paula03/2014
2804(23*2^367398+1)/57963110595Lelio R Paula03/2014
2805140^51515-139110558Norbert Schneider04/2019
28062^367215+1879223110543Enzo Doria09/2016
28072^367141+41110521Lelio R Paula02/2013
28082^367126+29835110516Lelio R Paula05/2017
2809(11*10^110496+49)/3110497Robert Price07/2018
2810(31*2^366976+1)/7110472Lelio R Paula03/2014
28117*10^110468-23110469Robert Price07/2019
28122^366853+5711110434Lelio R Paula05/2017
2813(21181*2^366833+1)/3110432Lelio R Paula07/2014
28142^366816+315110423Lelio R Paula05/2017
28152^366775-2787037110411Enzo Doria03/2016
2816(112*10^110405-1)/3110407Serge Batalov12/2014
28172^366751+2797553110404Enzo Doria03/2016
28182^366748+255110403Lelio R Paula05/2017
28192^366738-2985110400Yves Minet09/2014
2820(23*2^366739+1)/74575110396Lelio R Paula03/2014
28212^366716+1871791110393Enzo Doria05/2016
28222^366649+1871687110373Enzo Doria05/2016
28232^366629-351205110367Enzo Doria06/2015
28242^366558+1874479110345Enzo Doria06/2016
2825(23*10^110290+19)/3110291Robert Price07/2019
282618^87853-4409110280Enzo Doria03/2013
28272^366218-23110243Lelio R Paula02/2013
2828(21*2^366193-1)/197110235Lelio R Paula03/2014
28292^366178-343991110231Enzo Doria07/2015
28302^365944+1871341110161Enzo Doria05/2016
28312^365838-461267110129Enzo Doria07/2015
28322^365763-6555110106Lelio R Paula04/2017
2833(2^365689+2^182845+1)/511008311/2006
28342^365666-459161110077Enzo Doria05/2015
28353*10^110076-7110077Robert Price08/2015
283613^98785-72110041Lelio R Paula03/2017
2837(25^78707+1)/26110027Robert Price06/2013
2838(7*10^110006-151)/9110006Robert Price02/2018
28396^141361-7110001Lelio R Paula11/2014
284020^84536+81109984Lelio R Paula03/2017
28415*2^365347-9109982Lelio R Paula09/2014
28429*6^141303+7109957Lelio R Paula11/2014
284378^58099+77109929Norbert Schneider02/2015
28442*10^109928-7109929Robert Price10/2015
2845(27*2^365137-1)/2021109916Lelio R Paula03/2014
2846(4441*29^75152-24)/7109905Curtis Bright05/2015
2847(2^365087+7)/6015109899Lelio R Paula01/2014
284818^87533-11109878Lelio R Paula04/2017
28492^364982-5109871Henri Lifchitz04/2006
28503*10^109861+59109862Robert Price08/2018
28512^364936-1867979109857Enzo Doria04/2016
28522^364867-112087109836Enzo Doria06/2014
28534^182415-85061109825Mike Oakes06/2011
2854(17^89227+16^89227)/33109788Robert Price08/2013
28552^364687-187109782Lelio R Paula01/2012
28562^364644+67109769Lelio R Paula01/2012
2857(9787*2^364625-1)/24947109763Lelio R Paula05/2015
2858(2^364616+5)/9109760Lelio R Paula01/2014
2859(55*10^109759+89)/9109760Robert Price03/2019
286012^101694+73109747Lelio R Paula03/2017
286113^98518-66109744Lelio R Paula03/2017
28622^364478-113261109719Enzo Doria07/2014
2863(2^364513+1)/(3*44290516579)109719Gord Palameta08/2018
2864(24737*2^364454+1)/3109716Lelio R Paula07/2014
2865(62*10^109673+1)/9109674Serge Batalov11/2010
28663^229824+340109654Lelio R Paula03/2017
2867(2*10^109645-71)/3109645Robert Price12/2017
28682^364169-112813109626Enzo Doria06/2014
286910^109615+21109616Lelio R Paula03/2017
287010^109615-456267109615Patrick De Geest03/2017
28712^364094-113109604Lelio R Paula01/2012
2872(4^182026+11)/3109591Robert Price02/2017
28732^364041-6883109588Lelio R Paula09/2011
287412^101545+11109586Lelio R Paula03/2017
28752^363842-2787101109528Enzo Doria03/2016
2876(22699*2^363782+1)/763109511Lelio R Paula07/2014
28772^363769+5711109506Lelio R Paula04/2017
2878(31*2^363748+1)/49109499Lelio R Paula03/2014
2879p(22245)#/2-8109462Robert Price01/2017
28802^363556+55109442Lelio R Paula01/2012
2881(55459*2^363411+1)/81109401Lelio R Paula07/2014
28822^363406+1871569109397Enzo Doria05/2016
2883(2^363349+7)/9109378Lelio R Paula01/2014
28843^229236+100109374Lelio R Paula03/2017
28852^363268-58695109355Lelio R Paula04/2017
28862^363191-112321109332Enzo Doria06/2014
28874*10^109316-63109317Robert Price10/2018
28882^363120+3109311Donovan Johnson04/2006
2889(10^109297-1)/9109297Paul Bourdelais, Harvey Dubner04/2007
28902^363042-114641109287Enzo Doria04/2015
28912^363020-112793109280Enzo Doria06/2014
2892(67607*2^362695+1)/70499109183Lelio R Paula07/2014
2893(9*2^362644+1)/5109167Lelio R Paula03/2014
28945^156181+38109166Lelio R Paula02/2017
28954*10^109142+91109143Robert Price08/2018
28963^228750+68109142Lelio R Paula03/2017
2897(10223*2^362376+1)/9109090Lelio R Paula07/2014
289865^60167-64^60167109078Robert Price08/2013
28997*3^228589-2109066Lelio R Paula09/2014
2900(78557*2^362188+1)/189109033Lelio R Paula07/2014
29012*7^129008+9109025Lelio R Paula11/2014
2902(5*10^108960+91)/3108961Robert Price04/2018
29032^361957+76367108960Enzo Doria05/2016
29042^361873-1411108935Yves Minet01/2013
2905(24737*2^361857+1)/35108933Lelio R Paula07/2014
2906115^52842-114108892Norbert Schneider07/2018
290713^97745-24108883Lelio R Paula03/2017
290817^88475+8108864Lelio R Paula04/2017
29092^361567+51108843Lelio R Paula01/2012
29102^361563-109501108842Enzo Doria04/2014
291112^100852+83108838Lelio R Paula03/2017
29122^361497+767108822Lelio R Paula01/2012
29132^361280-112349108757Enzo Doria06/2014
29142^361271-5955108754Lelio R Paula04/2017
291512^100757+19108736Lelio R Paula03/2017
291614^94849-61108710Lelio R Paula05/2017
2917(19^85009-5^85009)/14108705Robert Price07/2013
2918(11*2^361027+1)/40463108677Lelio R Paula03/2014
29192^360973+1299108664Lelio R Paula04/2017
29202^360959-109101108660Enzo Doria04/2014
29216*5^155454+7108659Lelio R Paula11/2014
292210^108656+79108657Lelio R Paula02/2017
292310^108656-50001108656Patrick De Geest03/2017
29242^360918-35108648Lelio R Paula01/2012
2925(11*2^360886-1)/7108638Lelio R Paula03/2014
29263*10^108624-49108625Robert Price07/2018
29272^360706-458903108584Enzo Doria04/2015
29282^360641-113185108564Enzo Doria07/2014
29292^360618+75019108557Enzo Doria04/2016
2930(14*10^108545-221)/9108546Robert Price04/2018
2931(44*10^108544-233)/9108545Robert Price01/2019
29323*5^155286+2108541Lelio R Paula11/2014
29337^128422+4108530Lelio R Paula11/2014
29347^128421-80108529Lelio R Paula03/2017
29352^360497+53807108521Yves Minet07/2010
29362^360468-4559108512Yves Minet03/2019
29382^360366+1459108481Lelio R Paula09/2011
29372^360364-1499108481Yves Minet05/2013
293914^94642-23108472Lelio R Paula05/2017
29404*10^108412+9108413Robert Price05/2015
2941133^51042-132108406Norbert Schneider02/2019
29422^360093-351103108399Enzo Doria06/2015
29432^360042+723108384Lelio R Paula01/2012
294485^56164-2108364Lelio R Paula10/2013
29452^359937-29323108352Enzo Doria07/2015
29462^359898-19997108341Enzo Doria06/2013
29472*5^154948-7108305Lelio R Paula11/2014
294810^108303+13108304Lelio R Paula02/2017
294910^108303-207959108303Patrick De Geest03/2017
29507*10^108300+69108301Robert Price07/2019
29512^359730+753108290Lelio R Paula12/2011
2952(8*10^108273+13)/3108274Robert Price06/2018
29532^359650-19797108266Enzo Doria06/2013
295491^55259-90^55259108255Robert Price07/2015
29554*10^108238-71108239Robert Price12/2018
29563^226845+68108233Lelio R Paula03/2017
29575^154822-12866108216Enzo Doria05/2014
2958(9*2^359480+1)/5108215Lelio R Paula03/2014
29592^359454-177108207Lelio R Paula12/2011
2960(19*10^108184+191)/3108185Robert Price05/2019
29616^139022-59108181Lelio R Paula02/2017
2962(19*10^108176-43)/3108177Robert Price05/2019
29632^359352-179108176Lelio R Paula12/2011
29642^359338-1858781108172Enzo Doria04/2016
296512^100230-97108167Lelio R Paula03/2017
2966(25*2^359297-1)/137108159Lelio R Paula03/2014
2967(2^359262-509203)/9108148Lelio R Paula12/2013
2968(3^226648-8)/352715633108131Lelio R Paula12/2013
29696^138956-59108129Lelio R Paula02/2017
29702^359184+30285108126Lelio R Paula04/2017
297113^97059+10108119Lelio R Paula03/2017
29722^359137-81108112Lelio R Paula12/2011
2974(15185*2^359105-1)/567108103Lelio R Paula05/2015
29732^359110-11655108103Lelio R Paula04/2017
29758*6^138875+5108067Lelio R Paula11/2014
29762^358987-216919108066Enzo Doria05/2014
297739^67918-67918^39108062Norbert Schneider02/2017
29782^358785-16933108006Enzo Doria05/2013
2979(2^358783+5)/33383108000Lelio R Paula12/2013
29806^138770-77107985Lelio R Paula02/2017
2981(2^358727-1017)/94178479107980Lelio R Paula12/2013
298210^107976+19107977Lelio R Paula02/2017
298310^107976-202103107976Patrick De Geest03/2017
29842^358684+75781107975Enzo Doria04/2016
298599^54094+2107952Lelio R Paula06/2013
2986(2^358583-9)/391107942Lelio R Paula12/2013
29872^358538+55107931Lelio R Paula12/2011
29882^358517-109009107925Enzo Doria03/2014
29893^226159+104107906Lelio R Paula03/2017
29902^358310-11655107863Lelio R Paula03/2017
29912^358275-112987107852Enzo Doria07/2014
29922^358233-20005107839Enzo Doria06/2013
29932^358194+175107828Lelio R Paula12/2011
2994107^53125-106107812Norbert Schneider12/2016
29953^225922-2107793Lelio R Paula10/2013
299612^99874-95107783Lelio R Paula03/2017
29972^358030-171107778Lelio R Paula12/2011
299811^103488-4170107772Enzo Doria12/2012
29992^357930-4547107748Yves Minet03/2019
30002^357911-20089107742Enzo Doria06/2013


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: August, 25 2019 15:53 (Time in France)

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