PRP Records

Probable Primes Top 10000

(224660 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 ?
32512^337267-19101528Lelio R Paula07/2011
32522^337183-19989101503Enzo Doria06/2013
32532^337149+72425101492Enzo Doria04/2016
32542^337101-20241101478Enzo Doria06/2013
32552^337035-20001101458Enzo Doria06/2013
32562^337017-16995101453Lelio R Paula09/2016
32572^336979-115315101441Enzo Doria06/2015
32582^336970-20885101439Enzo Doria06/2013
32592^336958+79101435Lelio R Paula10/2009
32602^336942+169101430Lelio R Paula10/2009
3261(15185*2^336894-1)/7939101416Lelio R Paula05/2015
32622^336871+257463101409Tony Prest / Never Odd Or Even04/2016
32632^336871+318105101409Tony Prest / Never Odd Or Even04/2016
32642^336871+1010813101409Tony Prest / Never Odd Or Even04/2016
32652^336871+2302245101409Tony Prest / Never Odd Or Even04/2016
32662^336871+389273101409Tony Prest / Never Odd Or Even04/2016
32672^336871+1685475101409Tony Prest / Never Odd Or Even04/2016
32682^336871+1068119101409Tony Prest / Never Odd Or Even04/2016
32692^336871+586905101409Tony Prest / Never Odd Or Even04/2016
32702^336871+674571101409Tony Prest / Never Odd Or Even04/2016
32712^336871+707009101409Tony Prest / Never Odd Or Even04/2016
32722^336871+1210299101409Tony Prest / Never Odd Or Even04/2016
32732^336871+1921185101409Tony Prest / Never Odd Or Even04/2016
32742^336871+2003973101409Tony Prest / Never Odd Or Even04/2016
32752^336871+2656475101409Tony Prest / Never Odd Or Even04/2016
32762^336871+2703023101409Tony Prest / Never Odd Or Even04/2016
32772^336871+2704545101409Tony Prest / Never Odd Or Even04/2016
32782^336871+2766801101409Tony Prest / Never Odd Or Even04/2016
32792^336871+2127735101409Tony Prest / Never Odd Or Even04/2016
3280(2^336871+821089)/3101408Tony Prest / Never Odd Or Even05/2016
3281(2^336871+119567)/5101408Tony Prest / Never Odd Or Even05/2016
3282(2^336871+398161)/3101408Tony Prest / Never Odd Or Even05/2016
3283(2^336871+625889)/7101408Tony Prest / Never Odd Or Even05/2016
32842^336842+94065101400Lelio R Paula09/2016
3285(2^336871+904417)/3/3/3/5/19/9287177/9690011663/29993043103101378Tony Prest / Never Odd Or Even04/2016
3286(2^336871+631971)/13/251/1601/294277/614362921/30324278867101377Tony Prest / Never Odd Or Even04/2016
3287(2^336871+1443541)/3/89/1655197/11018131/47972707/468862691879101374Tony Prest / Never Odd Or Even04/2016
3288(2^336871+689863)/3/11/109/137/1867/7151/20800501/29243857/127778489101373Tony Prest / Never Odd Or Even04/2016
3289(2^336871+219839)/191/643/3011/9479/117127/175750007/4578271757101373Tony Prest / Never Odd Or Even04/2016
3290(2^336871+272895)/19/661/977572033/95853078653/520779768241101373Tony Prest / Never Odd Or Even04/2016
3291(2^336871+1023429)/2311/415873/991889/3630648341/207732189179101373Tony Prest / Never Odd Or Even04/2016
329210^101369+203811101370Patrick De Geest11/2016
329310^101369-99101369Lelio R Paula09/2016
3294(2^336871+1832627)/5/5/23/181/4397/91373/3746673331/115602484097/279351383917101363Tony Prest / Never Odd Or Even04/2016
32952^336701-113563101358Enzo Doria08/2014
32962^336644-109023101340Enzo Doria04/2014
32972^336601-21081101327Enzo Doria06/2013
329820^77869+63101310Lelio R Paula09/2016
3299(13*2^336523-1)/19101304Lelio R Paula03/2014
33006^130179-137101299Lelio R Paula10/2016
3301(2^336506+lucasV(1,2,336506)+1)/2101299Mike Oakes11/2016
3302(24737*2^336485+1)/7285101293Lelio R Paula07/2014
3303(2^336448+9)/497405101276Lelio R Paula12/2013
33042^336369-19753101258Enzo Doria05/2013
33052^336350-344291101252Enzo Doria07/2015
33062^336243-108777101220Enzo Doria03/2014
3307(31*2^336189-1)/19101204Lelio R Paula03/2014
3308(78557*2^336178+1)/1268757101199Lelio R Paula07/2014
33092^336150-20393101192Enzo Doria06/2013
33102^336112-1865249101180Enzo Doria03/2016
33112^336103-109015101178Enzo Doria04/2014
331213^90809-96101157Lelio R Paula10/2016
331319^79098-30101147Lelio R Paula10/2016
331419^79095+88101144Lelio R Paula10/2016
331515^85976+32101116Lelio R Paula10/2016
3316(3^211950+7)/28854513015920697088101107Lelio R Paula11/2013
3317(4^167933+17)/3101106Robert Price02/2017
33182^335858+153101104Lelio R Paula10/2009
33196^129918-35101096Lelio R Paula10/2016
33203^211885-70101095Lelio R Paula09/2016
3321(29*2^335835-1)/550599101093Lelio R Paula03/2014
33222^335818-20033101092Enzo Doria06/2013
33232^335813-110083101090Enzo Doria04/2014
33242^335804+2155101088Lelio R Paula09/2016
33252^335784-16145101082Enzo Doria04/2013
332611^97051+62101069Lelio R Paula10/2016
33273*10^101065+11101066Robert Price07/2018
3328(2^335691-3)/26515101049Lelio R Paula12/2013
33292^335658-94395101044Lelio R Paula09/2016
33302^335586+169101022Lelio R Paula10/2009
3331(56^57787-1)/55101021Paul Bourdelais08/2017
3332(19*10^100997+737)/9100998Robert Price07/2018
333347599!2+1024100991Robert Price02/2015
33342^335468-18629100986Enzo Doria05/2013
33352^335454-20961100982Enzo Doria06/2013
333610^100978+61100979Lelio R Paula09/2016
333710^100978-156437100978Patrick De Geest11/2016
3338(15*2^335417+1)/481100970Lelio R Paula12/2013
33392^335403-1859167100967Enzo Doria03/2016
334023599^18976+18976^23599100962Hans Havermann10/2018
33419*2^335364-5100956Lelio R Paula08/2014
33422^335349+72287100951Enzo Doria04/2016
33432^335329+16095100945Lelio R Paula09/2016
3344232823#+233663100937Makoto Morimoto10/2017
33452^335237-20893100917Enzo Doria06/2013
33462^335222-19337100912Enzo Doria05/2013
33472^335222-109985100912Enzo Doria04/2014
33482^335182-17237100900Enzo Doria05/2013
33492^335043-16737100858Enzo Doria05/2013
3350(21181*2^335049+1)/1343811100858Lelio R Paula07/2014
33512^335038-20633100857Enzo Doria06/2013
33522^335031+1873373100855Enzo Doria06/2016
335323489^19650+19650^23489100847Hans Havermann10/2018
33543^211354-8816100842Enzo Doria05/2014
33552^334984-112757100841Enzo Doria06/2014
335629451^2648+2648^29451100809Hans Havermann09/2018
335725583^8716+8716^25583100806Hans Havermann08/2018
33582^334857+48527100803Lelio R Paula08/2011
335912^93406+29100803Lelio R Paula10/2016
336028780^3179+3179^28780100796Hans Havermann09/2018
3361(5*2^334825+1)/47100792Lelio R Paula12/2013
33622^334809-13100788Lelio R Paula04/2011
3363(82*10^100780-1)/9100781Robert Price12/2014
336431395^1622+1622^31395100780Hans Havermann09/2018
3365(2^334779+47)/5100778Lelio R Paula12/2013
33662^334751+2049100771Lelio R Paula09/2016
336713^90443-98100749Lelio R Paula10/2016
3368(7*10^100737+71)/3100738Robert Price05/2018
3369(24737*2^334628+1)/3100737Lelio R Paula07/2014
337015^85639-28100720Lelio R Paula10/2016
337127068^5259+5259^27068100718Hans Havermann08/2018
33722^334562+577294575100711Lelio R Paula09/2016
33734*3^211077-5100710Lelio R Paula08/2014
33742^334524+145100702Lelio R Paula07/2009
337527648^4375+4375^27648100666Hans Havermann09/2018
3376(1017*2^334391-1)/3535100662Lelio R Paula05/2015
33772^334294-113111100633Enzo Doria07/2014
337825581^8582+8582^25581100626Hans Havermann08/2018
33796^129308-17723100622Enzo Doria03/2013
33806^129305+95100619Lelio R Paula10/2016
33812^334244-1167100618Lelio R Paula09/2016
3382(21*2^334050+1)/935100558Lelio R Paula12/2013
338324885^10984+10984^24885100555Hans Havermann07/2018
3384(78557*2^334018+1)/4326021100548Lelio R Paula07/2014
3385(35*10^100542+1)/9100543Serge Batalov11/2010
338623578^18367+18367^23578100538Hans Havermann07/2018
338713^90251+24100535Lelio R Paula10/2016
33882^333963+789100533Lelio R Paula08/2011
33892^333919-1840087100520Enzo Doria06/2015
33902^333911+72623100518Enzo Doria04/2016
339124605^12168+12168^24605100517Hans Havermann08/2018
339218^80064-67100503Lelio R Paula10/2016
33935^143742-48100472Lelio R Paula10/2016
339424095^14784+14784^24095100472Hans Havermann08/2018
33952^333757-112123100471Enzo Doria06/2014
339627358^4693+4693^27358100444Hans Havermann07/2018
33972^333603-108861100425Enzo Doria03/2014
33989*7^118818-2100414Lelio R Paula11/2014
33992^333546-17097100408Enzo Doria05/2013
340017^81597+72100401Lelio R Paula10/2016
3401p(20559)#/2+8100384Robert Price01/2017
340211^96390-24100380Lelio R Paula10/2016
34044832563059*2^333333+30029100353Donovan Johnson01/2008
340323565^18136+18136^23565100353Hans Havermann07/2018
34052^333354+763100350Lelio R Paula08/2011
34062^333289-109483100330Enzo Doria04/2014
34072^333240-2790209100316Enzo Doria03/2016
340823601^17798+17798^23601100314Hans Havermann05/2018
3410(2^333227-2^166614+1)/510031111/2006
34092^333225+719100311Lelio R Paula08/2011
34112^333221-2785333100310Enzo Doria10/2015
341276^53332-75100308Norbert Schneider02/2015
34136^128892-17573100298Enzo Doria03/2013
34142^333105-113215100275Enzo Doria07/2014
3415(31*2^333102+1)/2375100272Lelio R Paula11/2013
34164*10^100257-83100258Robert Price10/2018
341717^81476-74100253Lelio R Paula10/2016
341823392^19207+19207^23392100199Hans Havermann06/2018
341917^81417-16100180Theodore Burton11/2005
34202^332739-113215100165Enzo Doria07/2014
34212^332730-1865621100162Enzo Doria03/2016
342291^51127-2100160Lelio R Paula09/2013
342315^85159-32100155Lelio R Paula10/2016
34246^128661+97100118Lelio R Paula10/2016
342519^78285+40100108Lelio R Paula07/2016
34266^128640+5100102Lelio R Paula11/2014
342728562^3189+3189^28562100072Hans Havermann05/2018
34286^128565-127100044Lelio R Paula08/2016
34292^332309-133100035Lelio R Paula02/2011
34302^332307+731100035Lelio R Paula07/2011
34312^332301+12927100033Lelio R Paula04/2013
343223406^18781+18781^23406100031Hans Havermann04/2018
343312^92684-13100023Lelio R Paula07/2016
343410^100002+236023100003Stefano Morozzi05/2018
343510^100002+433741100003Stefano Morozzi05/2018
3436(10^100002-1)/9-10^33441100002Akihiko Yoshida03/2018
3437(10^100002-1)/9-10^44692100002Akihiko Yoshida03/2018
343810^100002-249519100002Patrick De Geest07/2018
343910^100001+314199100002Patrick De Geest07/2018
348825206!+p(4114)100001Henri Lifchitz09/2005
348925206!-p(5447)100001Henri Lifchitz10/2005
349025206!-p(12402)100001Henri Lifchitz04/2006
349125206!-p(16290)100001Henri Lifchitz09/2006
349225206!-p(19647)100001Henri Lifchitz02/2007
34932^332194+11473100001Henri Lifchitz03/2007
344810^100000+342909100001Milton L. Brown12/2007
346510^100000+346579100001Robert Price04/2012
346610^100000+829767100001Robert Price05/2012
346710^100000+871899100001Robert Price05/2012
346810^100000+1475997100001Robert Price07/2012
348110^100000+1751769100001Robert Price08/2012
348210^100000+2155489100001Robert Price10/2012
348310^100000+2483527100001Robert Price12/2012
348410^100000+2503087100001Robert Price12/2012
348510^100000+2686179100001Robert Price12/2012
348610^100000+2688933100001Robert Price12/2012
348710^100000+3667159100001Robert Price08/2013
347710^100000+3938473100001Robert Price05/2015
347810^100000+3979761100001Robert Price05/2015
347910^100000+4293973100001Robert Price09/2015
344910^100000+4858267100001Robert Price12/2015
345010^100000+5113299100001Robert Price02/2016
345110^100000+5169411100001Robert Price02/2016
346910^100000+5354043100001Robert Price05/2016
347010^100000+5717979100001Robert Price05/2016
347110^100000+6080631100001Robert Price07/2016
347210^100000+6308469100001Robert Price07/2016
347310^100000+6512023100001Robert Price08/2016
347410^100000+6596557100001Robert Price08/2016
347510^100000+7115409100001Robert Price10/2016
347610^100000+7235803100001Robert Price10/2016
345210^100000+7867333100001Robert Price12/2016
345310^100000+8743093100001Robert Price02/2017
345410^100000+8955391100001Robert Price03/2017
345510^100000+9180019100001Robert Price03/2017
345610^100000+9225987100001Robert Price04/2017
345710^100000+9265587100001Robert Price04/2017
345810^100000+9287049100001Robert Price04/2017
345910^100000+9425053100001Robert Price05/2017
346010^100000+9450769100001Robert Price05/2017
346110^100000+9528747100001Robert Smith05/2017
346210^100000+9548071100001Robert Price06/2017
346310^100000+10064287100001Robert Price08/2017
346410^100000+10229569100001Robert Price10/2017
344010^100000+11187931100001Robert Price03/2018
344110^100000+11264721100001Robert Price04/2018
344210^100000+11477661100001Robert Price05/2018
344310^100000+11644653100001Robert Price07/2018
344410^100001-431439100001Patrick De Geest07/2018
344510^100000+11769399100001Robert Price08/2018
344610^100000+11848159100001Robert Price08/2018
344710^100000+11863467100001Robert Price08/2018
348010^100000+11992051100001Robert Price09/2018
349410^99999+309403100000Daniel Heuer01/2004
349510^100000-260199100000Patrick De Geest01/2010
349610^99999-5951199999Patrick De Geest07/2009
34972^332141-11307399985Enzo Doria07/2014
3499(3^209561+2)/72810125599978Lelio R Paula09/2013
349823827^15702+15702^2382799978Hans Havermann04/2018
35002^332085+186589799968Enzo Doria03/2016


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: October, 15 2018 21:33 (Time in France)

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