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 ?
3751(4^167933+17)/3101106Robert Price02/2017
37532^335858+153101104Lelio R Paula10/2009
3752(2^335872-2776871)/5/5/479101104Tony Prest / Never Odd Or Even01/2019
3754(2^335872-2758787)/23/31/20809101101Tony Prest / Never Odd Or Even01/2019
3755(2^335872-2795083)/3/3/113/283/148367101097Tony Prest / Never Odd Or Even01/2019
37566^129918-35101096Lelio R Paula10/2016
37573^211885-70101095Lelio R Paula09/2016
3759(29*2^335835-1)/550599101093Lelio R Paula03/2014
3758(2^335872-2794771)/3/5/5/61/232312440293101093Tony Prest / Never Odd Or Even01/2019
37602^335818-20033101092Enzo Doria06/2013
37612^335813-110083101090Enzo Doria04/2014
37622^335804+2155101088Lelio R Paula09/2016
3763(2^335872-2756679)/7/7/7/13/31/4987/437653/8734021101087Tony Prest / Never Odd Or Even01/2019
37642^335784-16145101082Enzo Doria04/2013
376511^97051+62101069Lelio R Paula10/2016
37663*10^101065+11101066Robert Price07/2018
376727820^4293+4293^27820101064Hans Havermann10/2018
3768(2^335691-3)/26515101049Lelio R Paula12/2013
37692^335658-94395101044Lelio R Paula09/2016
377024514^13215+13215^24514101024Hans Havermann11/2018
37712^335586+169101022Lelio R Paula10/2009
3772(56^57787-1)/55101021Paul Bourdelais08/2017
3773(19*10^100997+737)/9100998Robert Price07/2018
377447599!2+1024100991Robert Price02/2015
37752^335468-18629100986Enzo Doria05/2013
37762^335454-20961100982Enzo Doria06/2013
377710^100978+61100979Lelio R Paula09/2016
377810^100978-156437100978Patrick De Geest11/2016
3779(15*2^335417+1)/481100970Lelio R Paula12/2013
37802^335403-1859167100967Enzo Doria03/2016
378123599^18976+18976^23599100962Hans Havermann10/2018
37829*2^335364-5100956Lelio R Paula08/2014
37832^335349+72287100951Enzo Doria04/2016
37842^335329+16095100945Lelio R Paula09/2016
3785232823#+233663100937Makoto Morimoto10/2017
3786(232823#+10141)/(10141*1674461)100927Makoto Morimoto06/2019
37872^335237-20893100917Enzo Doria06/2013
37882^335222-19337100912Enzo Doria05/2013
37892^335222-109985100912Enzo Doria04/2014
37902^335182-17237100900Enzo Doria05/2013
37912^335043-16737100858Enzo Doria05/2013
3792(21181*2^335049+1)/1343811100858Lelio R Paula07/2014
37932^335038-20633100857Enzo Doria06/2013
37942^335031+1873373100855Enzo Doria06/2016
379523489^19650+19650^23489100847Hans Havermann10/2018
37963^211354-8816100842Enzo Doria05/2014
37972^334984-112757100841Enzo Doria06/2014
379829451^2648+2648^29451100809Hans Havermann09/2018
379925583^8716+8716^25583100806Hans Havermann08/2018
38012^334857+48527100803Lelio R Paula08/2011
380012^93406+29100803Lelio R Paula10/2016
380228780^3179+3179^28780100796Hans Havermann09/2018
3803(5*2^334825+1)/47100792Lelio R Paula12/2013
38042^334809-13100788Lelio R Paula04/2011
3805(82*10^100780-1)/9100781Robert Price12/2014
380631395^1622+1622^31395100780Hans Havermann09/2018
3807(2^334779+47)/5100778Lelio R Paula12/2013
38082^334751+2049100771Lelio R Paula09/2016
380913^90443-98100749Lelio R Paula10/2016
3810(7*10^100737+71)/3100738Robert Price05/2018
3811(24737*2^334628+1)/3100737Lelio R Paula07/2014
381215^85639-28100720Lelio R Paula10/2016
381327068^5259+5259^27068100718Hans Havermann08/2018
38142^334562+577294575100711Lelio R Paula09/2016
38154*3^211077-5100710Lelio R Paula08/2014
38162^334524+145100702Lelio R Paula07/2009
381727648^4375+4375^27648100666Hans Havermann09/2018
3818(1017*2^334391-1)/3535100662Lelio R Paula05/2015
38192^334294-113111100633Enzo Doria07/2014
382025581^8582+8582^25581100626Hans Havermann08/2018
38216^129308-17723100622Enzo Doria03/2013
38226^129305+95100619Lelio R Paula10/2016
38232^334244-1167100618Lelio R Paula09/2016
3824(76*10^100611+77)/9100612Robert Price10/2019
3825(26*10^100566+49)/3100567Robert Price08/2019
3826(21*2^334050+1)/935100558Lelio R Paula12/2013
382724885^10984+10984^24885100555Hans Havermann07/2018
3828(78557*2^334018+1)/4326021100548Lelio R Paula07/2014
3829(35*10^100542+1)/9100543Serge Batalov11/2010
383023578^18367+18367^23578100538Hans Havermann07/2018
383113^90251+24100535Lelio R Paula10/2016
38322^333963+789100533Lelio R Paula08/2011
38332^333919-1840087100520Enzo Doria06/2015
38342^333911+72623100518Enzo Doria04/2016
383524605^12168+12168^24605100517Hans Havermann08/2018
383618^80064-67100503Lelio R Paula10/2016
38375^143742-48100472Lelio R Paula10/2016
383824095^14784+14784^24095100472Hans Havermann08/2018
38392^333757-112123100471Enzo Doria06/2014
384027358^4693+4693^27358100444Hans Havermann07/2018
38418*10^100439-51100440Robert Price08/2019
38422^333603-108861100425Enzo Doria03/2014
38439*7^118818-2100414Lelio R Paula11/2014
38442^333546-17097100408Enzo Doria05/2013
384517^81597+72100401Lelio R Paula10/2016
3846p(20559)#/2+8100384Robert Price01/2017
384711^96390-24100380Lelio R Paula10/2016
38494832563059*2^333333+30029100353Donovan Johnson01/2008
384823565^18136+18136^23565100353Hans Havermann07/2018
38502^333354+763100350Lelio R Paula08/2011
3851(25*10^100343-67)/3100344Robert Price06/2019
38522^333289-109483100330Enzo Doria04/2014
38532^333240-2790209100316Enzo Doria03/2016
385423601^17798+17798^23601100314Hans Havermann05/2018
3856(2^333227-2^166614+1)/510031111/2006
38552^333225+719100311Lelio R Paula08/2011
38572^333221-2785333100310Enzo Doria10/2015
385876^53332-75100308Norbert Schneider02/2015
38596^128892-17573100298Enzo Doria03/2013
3860(47*10^100283-119)/9100284Robert Price05/2019
38612^333105-113215100275Enzo Doria07/2014
3862(31*2^333102+1)/2375100272Lelio R Paula11/2013
38634*10^100257-83100258Robert Price10/2018
386417^81476-74100253Lelio R Paula10/2016
386523392^19207+19207^23392100199Hans Havermann06/2018
386617^81417-16100180Theodore Burton11/2005
38672^332739-113215100165Enzo Doria07/2014
38682^332730-1865621100162Enzo Doria03/2016
386991^51127-2100160Lelio R Paula09/2013
387015^85159-32100155Lelio R Paula10/2016
38716^128661+97100118Lelio R Paula10/2016
387219^78285+40100108Lelio R Paula07/2016
38736^128640+5100102Lelio R Paula11/2014
3874(14*10^100075+61)/3100076Robert Price12/2018
387528562^3189+3189^28562100072Hans Havermann05/2018
38766^128565-127100044Lelio R Paula08/2016
38772^332309-133100035Lelio R Paula02/2011
38782^332307+731100035Lelio R Paula07/2011
38792^332301+12927100033Lelio R Paula04/2013
388023406^18781+18781^23406100031Hans Havermann04/2018
38812^332277-4573100026Yves Minet03/2019
388212^92684-13100023Lelio R Paula07/2016
388378557*2^332193+55669100005Jorge Menendez04/2019
388478557*2^332192+72689100005Jorge Menendez04/2019
388510^100003+45799100004Stefano Morozzi04/2019
388610^100003+155461100004Stefano Morozzi04/2019
388710^100003+211389100004Stefano Morozzi04/2019
388810^100003+381027100004Stefano Morozzi04/2019
388910^100003+540703100004Stefano Morozzi04/2019
389010^100003+823977100004Stefano Morozzi04/2019
390210^100002+236023100003Stefano Morozzi05/2018
390310^100002+433741100003Stefano Morozzi05/2018
38912^332202+104659100003Stefano Morozzi04/2019
38922^332202+857539100003Stefano Morozzi04/2019
38932^332202+181773100003Stefano Morozzi04/2019
38942^332202+687543100003Stefano Morozzi04/2019
38952^332202+941595100003Stefano Morozzi04/2019
38962^332202+445813100003Stefano Morozzi04/2019
38972^332202+1599727100003Stefano Morozzi04/2019
38982^332202+1389567100003Stefano Morozzi04/2019
38992^332202+1206315100003Stefano Morozzi04/2019
39002^332202+1958647100003Stefano Morozzi04/2019
390110^100003-562857100003Patrick De Geest07/2019
3904(10^100002-1)/9-10^33441100002Akihiko Yoshida03/2018
3905(10^100002-1)/9-10^44692100002Akihiko Yoshida03/2018
390610^100002-249519100002Patrick De Geest07/2018
390710^100001+314199100002Patrick De Geest07/2018
397125206!+p(4114)100001Henri Lifchitz09/2005
397225206!-p(5447)100001Henri Lifchitz10/2005
397325206!-p(12402)100001Henri Lifchitz04/2006
397425206!-p(16290)100001Henri Lifchitz09/2006
397525206!-p(19647)100001Henri Lifchitz02/2007
39762^332194+11473100001Henri Lifchitz03/2007
396610^100000+342909100001Milton L. Brown12/2007
396710^100000+346579100001Robert Price04/2012
396810^100000+829767100001Robert Price05/2012
396910^100000+871899100001Robert Price05/2012
397010^100000+1475997100001Robert Price07/2012
395910^100000+1751769100001Robert Price08/2012
396010^100000+2155489100001Robert Price10/2012
396110^100000+2483527100001Robert Price12/2012
396210^100000+2503087100001Robert Price12/2012
396310^100000+2686179100001Robert Price12/2012
396410^100000+2688933100001Robert Price12/2012
396510^100000+3667159100001Robert Price08/2013
395610^100000+3938473100001Robert Price05/2015
395710^100000+3979761100001Robert Price05/2015
395810^100000+4293973100001Robert Price09/2015
392410^100000+4858267100001Robert Price12/2015
392510^100000+5113299100001Robert Price02/2016
392610^100000+5169411100001Robert Price02/2016
393510^100000+5354043100001Robert Price05/2016
393610^100000+5717979100001Robert Price05/2016
393710^100000+6080631100001Robert Price07/2016
393810^100000+6308469100001Robert Price07/2016
393910^100000+6512023100001Robert Price08/2016
394010^100000+6596557100001Robert Price08/2016
394110^100000+7115409100001Robert Price10/2016
394210^100000+7235803100001Robert Price10/2016
394310^100000+7867333100001Robert Price12/2016
394410^100000+8743093100001Robert Price02/2017
394510^100000+8955391100001Robert Price03/2017
394610^100000+9180019100001Robert Price03/2017
394710^100000+9225987100001Robert Price04/2017
394810^100000+9265587100001Robert Price04/2017
394910^100000+9287049100001Robert Price04/2017
395010^100000+9425053100001Robert Price05/2017
395110^100000+9450769100001Robert Price05/2017
395210^100000+9528747100001Robert Smith05/2017
395310^100000+9548071100001Robert Price06/2017
395410^100000+10064287100001Robert Price08/2017
395510^100000+10229569100001Robert Price10/2017
390810^100000+11187931100001Robert Price03/2018
390910^100000+11264721100001Robert Price04/2018
391010^100000+11477661100001Robert Price05/2018
391110^100000+11644653100001Robert Price07/2018
391210^100001-431439100001Patrick De Geest07/2018
391310^100000+11769399100001Robert Price08/2018
391410^100000+11848159100001Robert Price08/2018
391510^100000+11863467100001Robert Price08/2018
392710^100000+11992051100001Robert Price09/2018
39282^332196-1-2*29696100001Matt Stath11/2018
392910^100000+12363957100001Robert Price11/2018
39162^332196+1+2*17152100001Matt Stath12/2018
391710^100000+12778033100001Robert Price02/2019
391810^100000+13581679100001Robert Price05/2019
391910^100000+13613199100001Robert Price05/2019
392010^100000+13752327100001Robert Price05/2019
392110^100000+14139243100001Robert Price06/2019
392210^100000+14151057100001Robert Price06/2019
392310^100000+14218923100001Robert Price06/2019
393010^100000+15136771100001Robert Price09/2019
393110^100000+15219873100001Robert Price10/2019
393210^100000+15274039100001Robert Price10/2019
393310^100000+15394069100001Robert Price10/2019
393410^100000+15547119100001Robert Price10/2019
397710^99999+309403100000Daniel Heuer01/2004
397810^100000-260199100000Patrick De Geest01/2010
397910^99999-5951199999Patrick De Geest07/2009
39802^332141-11307399985Enzo Doria07/2014
3982(3^209561+2)/72810125599978Lelio R Paula09/2013
398123827^15702+15702^2382799978Hans Havermann04/2018
39832^332085+186589799968Enzo Doria03/2016
3984(9787*2^332070-1)/93640236999959Lelio R Paula05/2015
39852^332023+19199949Lelio R Paula02/2011
39862^331938+7114999924Enzo Doria04/2016
39872^331932-7879599922Lelio R Paula09/2016
39882^331921+77199919Lelio R Paula01/2013
3989(3^209419-2)/513275599912Lelio R Paula09/2013
39902^331860-11498999900Enzo Doria05/2015
39912^331746-1165599866Lelio R Paula09/2016
399211^95891-2899861Lelio R Paula08/2016
3993(2^331694-5)/1199849Lelio R Paula10/2013
3994(3^209246+7)/6499834Lelio R Paula09/2013
399525062^9617+9617^2506299823Hans Havermann04/2018
399615^84866-5299811Lelio R Paula08/2016
399713^89600+3099810Lelio R Paula08/2016
399822950^22309+22309^2295099798Hans Havermann03/2018
39995^142772-3899794Lelio R Paula08/2016
4000(23*2^331459+1)/47599778Lelio R Paula11/2013


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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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