PRP Records

Probable Primes Top 10000

(252675 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 ?
3501(2^336871+219839)/191/643/3011/9479/117127/175750007/4578271757101373Tony Prest / Never Odd Or Even04/2016
3502(2^336871+272895)/19/661/977572033/95853078653/520779768241101373Tony Prest / Never Odd Or Even04/2016
3503(2^336871+1023429)/2311/415873/991889/3630648341/207732189179101373Tony Prest / Never Odd Or Even04/2016
350410^101369+203811101370Patrick De Geest11/2016
350510^101369-99101369Lelio R Paula09/2016
3506(2^336871+1832627)/5/5/23/181/4397/91373/3746673331/115602484097/279351383917101363Tony Prest / Never Odd Or Even04/2016
35072^336701-113563101358Enzo Doria08/2014
35082^336644-109023101340Enzo Doria04/2014
35092^336601-21081101327Enzo Doria06/2013
351020^77869+63101310Lelio R Paula09/2016
3511(13*2^336523-1)/19101304Lelio R Paula03/2014
35136^130179-137101299Lelio R Paula10/2016
3512(2^336506+lucasV(1,2,336506)+1)/2101299Mike Oakes11/2016
3514(24737*2^336485+1)/7285101293Lelio R Paula07/2014
3515(2^336448+9)/497405101276Lelio R Paula12/2013
35162^336369-19753101258Enzo Doria05/2013
351723842^17653+17653^23842101253Hans Havermann11/2018
35182^336350-344291101252Enzo Doria07/2015
3519(56*10^101222-47)/9101223Robert Price02/2019
35202^336243-108777101220Enzo Doria03/2014
3521(31*2^336189-1)/19101204Lelio R Paula03/2014
352223535^19954+19954^23535101202Hans Havermann11/2018
3523(78557*2^336178+1)/1268757101199Lelio R Paula07/2014
35242^336150-20393101192Enzo Doria06/2013
352523996^16473+16473^23996101186Hans Havermann11/2018
35262^336112-1865249101180Enzo Doria03/2016
35272^336103-109015101178Enzo Doria04/2014
352813^90809-96101157Lelio R Paula10/2016
352926199^7258+7258^26199101150Hans Havermann11/2018
353019^79098-30101147Lelio R Paula10/2016
353119^79095+88101144Lelio R Paula10/2016
353215^85976+32101116Lelio R Paula10/2016
35332^335872-2776215101108Tony Prest / Never Odd Or Even01/2019
3534(3^211950+7)/28854513015920697088101107Lelio R Paula11/2013
3535(4^167933+17)/3101106Robert Price02/2017
35372^335858+153101104Lelio R Paula10/2009
3536(2^335872-2776871)/5/5/479101104Tony Prest / Never Odd Or Even01/2019
3538(2^335872-2758787)/23/31/20809101101Tony Prest / Never Odd Or Even01/2019
3539(2^335872-2795083)/3/3/113/283/148367101097Tony Prest / Never Odd Or Even01/2019
35406^129918-35101096Lelio R Paula10/2016
35413^211885-70101095Lelio R Paula09/2016
3543(29*2^335835-1)/550599101093Lelio R Paula03/2014
3542(2^335872-2794771)/3/5/5/61/232312440293101093Tony Prest / Never Odd Or Even01/2019
35442^335818-20033101092Enzo Doria06/2013
35452^335813-110083101090Enzo Doria04/2014
35462^335804+2155101088Lelio R Paula09/2016
3547(2^335872-2756679)/7/7/7/13/31/4987/437653/8734021101087Tony Prest / Never Odd Or Even01/2019
35482^335784-16145101082Enzo Doria04/2013
354911^97051+62101069Lelio R Paula10/2016
35503*10^101065+11101066Robert Price07/2018
355127820^4293+4293^27820101064Hans Havermann10/2018
3552(2^335691-3)/26515101049Lelio R Paula12/2013
35532^335658-94395101044Lelio R Paula09/2016
355424514^13215+13215^24514101024Hans Havermann11/2018
35552^335586+169101022Lelio R Paula10/2009
3556(56^57787-1)/55101021Paul Bourdelais08/2017
3557(19*10^100997+737)/9100998Robert Price07/2018
355847599!2+1024100991Robert Price02/2015
35592^335468-18629100986Enzo Doria05/2013
35602^335454-20961100982Enzo Doria06/2013
356110^100978+61100979Lelio R Paula09/2016
356210^100978-156437100978Patrick De Geest11/2016
3563(15*2^335417+1)/481100970Lelio R Paula12/2013
35642^335403-1859167100967Enzo Doria03/2016
356523599^18976+18976^23599100962Hans Havermann10/2018
35669*2^335364-5100956Lelio R Paula08/2014
35672^335349+72287100951Enzo Doria04/2016
35682^335329+16095100945Lelio R Paula09/2016
3569232823#+233663100937Makoto Morimoto10/2017
35702^335237-20893100917Enzo Doria06/2013
35712^335222-19337100912Enzo Doria05/2013
35722^335222-109985100912Enzo Doria04/2014
35732^335182-17237100900Enzo Doria05/2013
35742^335043-16737100858Enzo Doria05/2013
3575(21181*2^335049+1)/1343811100858Lelio R Paula07/2014
35762^335038-20633100857Enzo Doria06/2013
35772^335031+1873373100855Enzo Doria06/2016
357823489^19650+19650^23489100847Hans Havermann10/2018
35793^211354-8816100842Enzo Doria05/2014
35802^334984-112757100841Enzo Doria06/2014
358129451^2648+2648^29451100809Hans Havermann09/2018
358225583^8716+8716^25583100806Hans Havermann08/2018
35842^334857+48527100803Lelio R Paula08/2011
358312^93406+29100803Lelio R Paula10/2016
358528780^3179+3179^28780100796Hans Havermann09/2018
3586(5*2^334825+1)/47100792Lelio R Paula12/2013
35872^334809-13100788Lelio R Paula04/2011
3588(82*10^100780-1)/9100781Robert Price12/2014
358931395^1622+1622^31395100780Hans Havermann09/2018
3590(2^334779+47)/5100778Lelio R Paula12/2013
35912^334751+2049100771Lelio R Paula09/2016
359213^90443-98100749Lelio R Paula10/2016
3593(7*10^100737+71)/3100738Robert Price05/2018
3594(24737*2^334628+1)/3100737Lelio R Paula07/2014
359515^85639-28100720Lelio R Paula10/2016
359627068^5259+5259^27068100718Hans Havermann08/2018
35972^334562+577294575100711Lelio R Paula09/2016
35984*3^211077-5100710Lelio R Paula08/2014
35992^334524+145100702Lelio R Paula07/2009
360027648^4375+4375^27648100666Hans Havermann09/2018
3601(1017*2^334391-1)/3535100662Lelio R Paula05/2015
36022^334294-113111100633Enzo Doria07/2014
360325581^8582+8582^25581100626Hans Havermann08/2018
36046^129308-17723100622Enzo Doria03/2013
36056^129305+95100619Lelio R Paula10/2016
36062^334244-1167100618Lelio R Paula09/2016
3607(21*2^334050+1)/935100558Lelio R Paula12/2013
360824885^10984+10984^24885100555Hans Havermann07/2018
3609(78557*2^334018+1)/4326021100548Lelio R Paula07/2014
3610(35*10^100542+1)/9100543Serge Batalov11/2010
361123578^18367+18367^23578100538Hans Havermann07/2018
361213^90251+24100535Lelio R Paula10/2016
36132^333963+789100533Lelio R Paula08/2011
36142^333919-1840087100520Enzo Doria06/2015
36152^333911+72623100518Enzo Doria04/2016
361624605^12168+12168^24605100517Hans Havermann08/2018
361718^80064-67100503Lelio R Paula10/2016
36185^143742-48100472Lelio R Paula10/2016
361924095^14784+14784^24095100472Hans Havermann08/2018
36202^333757-112123100471Enzo Doria06/2014
362127358^4693+4693^27358100444Hans Havermann07/2018
36222^333603-108861100425Enzo Doria03/2014
36239*7^118818-2100414Lelio R Paula11/2014
36242^333546-17097100408Enzo Doria05/2013
362517^81597+72100401Lelio R Paula10/2016
3626p(20559)#/2+8100384Robert Price01/2017
362711^96390-24100380Lelio R Paula10/2016
36284832563059*2^333333+30029100353Donovan Johnson01/2008
362923565^18136+18136^23565100353Hans Havermann07/2018
36302^333354+763100350Lelio R Paula08/2011
36312^333289-109483100330Enzo Doria04/2014
36322^333240-2790209100316Enzo Doria03/2016
363323601^17798+17798^23601100314Hans Havermann05/2018
3635(2^333227-2^166614+1)/510031111/2006
36342^333225+719100311Lelio R Paula08/2011
36362^333221-2785333100310Enzo Doria10/2015
363776^53332-75100308Norbert Schneider02/2015
36386^128892-17573100298Enzo Doria03/2013
36392^333105-113215100275Enzo Doria07/2014
3640(31*2^333102+1)/2375100272Lelio R Paula11/2013
36414*10^100257-83100258Robert Price10/2018
364217^81476-74100253Lelio R Paula10/2016
364323392^19207+19207^23392100199Hans Havermann06/2018
364417^81417-16100180Theodore Burton11/2005
36452^332739-113215100165Enzo Doria07/2014
36462^332730-1865621100162Enzo Doria03/2016
364791^51127-2100160Lelio R Paula09/2013
364815^85159-32100155Lelio R Paula10/2016
36496^128661+97100118Lelio R Paula10/2016
365019^78285+40100108Lelio R Paula07/2016
36516^128640+5100102Lelio R Paula11/2014
3652(14*10^100075+61)/3100076Robert Price12/2018
365328562^3189+3189^28562100072Hans Havermann05/2018
36546^128565-127100044Lelio R Paula08/2016
36552^332309-133100035Lelio R Paula02/2011
36562^332307+731100035Lelio R Paula07/2011
36572^332301+12927100033Lelio R Paula04/2013
365823406^18781+18781^23406100031Hans Havermann04/2018
36592^332277-4573100026Yves Minet03/2019
366012^92684-13100023Lelio R Paula07/2016
366178557*2^332193+55669100005Jorge Menendez04/2019
366210^100002+236023100003Stefano Morozzi05/2018
366310^100002+433741100003Stefano Morozzi05/2018
3664(10^100002-1)/9-10^33441100002Akihiko Yoshida03/2018
3665(10^100002-1)/9-10^44692100002Akihiko Yoshida03/2018
366610^100002-249519100002Patrick De Geest07/2018
366710^100001+314199100002Patrick De Geest07/2018
372025206!+p(4114)100001Henri Lifchitz09/2005
372125206!-p(5447)100001Henri Lifchitz10/2005
372225206!-p(12402)100001Henri Lifchitz04/2006
372325206!-p(16290)100001Henri Lifchitz09/2006
372425206!-p(19647)100001Henri Lifchitz02/2007
37252^332194+11473100001Henri Lifchitz03/2007
371910^100000+342909100001Milton L. Brown12/2007
368410^100000+346579100001Robert Price04/2012
368510^100000+829767100001Robert Price05/2012
368610^100000+871899100001Robert Price05/2012
368710^100000+1475997100001Robert Price07/2012
369610^100000+1751769100001Robert Price08/2012
369710^100000+2155489100001Robert Price10/2012
369810^100000+2483527100001Robert Price12/2012
369910^100000+2503087100001Robert Price12/2012
370010^100000+2686179100001Robert Price12/2012
370110^100000+2688933100001Robert Price12/2012
370210^100000+3667159100001Robert Price08/2013
368810^100000+3938473100001Robert Price05/2015
368910^100000+3979761100001Robert Price05/2015
369010^100000+4293973100001Robert Price09/2015
371610^100000+4858267100001Robert Price12/2015
371710^100000+5113299100001Robert Price02/2016
371810^100000+5169411100001Robert Price02/2016
367610^100000+5354043100001Robert Price05/2016
367710^100000+5717979100001Robert Price05/2016
367810^100000+6080631100001Robert Price07/2016
367910^100000+6308469100001Robert Price07/2016
368010^100000+6512023100001Robert Price08/2016
368110^100000+6596557100001Robert Price08/2016
368210^100000+7115409100001Robert Price10/2016
368310^100000+7235803100001Robert Price10/2016
370310^100000+7867333100001Robert Price12/2016
370410^100000+8743093100001Robert Price02/2017
370510^100000+8955391100001Robert Price03/2017
370610^100000+9180019100001Robert Price03/2017
370710^100000+9225987100001Robert Price04/2017
370810^100000+9265587100001Robert Price04/2017
370910^100000+9287049100001Robert Price04/2017
371010^100000+9425053100001Robert Price05/2017
371110^100000+9450769100001Robert Price05/2017
371210^100000+9528747100001Robert Smith05/2017
371310^100000+9548071100001Robert Price06/2017
371410^100000+10064287100001Robert Price08/2017
371510^100000+10229569100001Robert Price10/2017
366810^100000+11187931100001Robert Price03/2018
366910^100000+11264721100001Robert Price04/2018
367010^100000+11477661100001Robert Price05/2018
367110^100000+11644653100001Robert Price07/2018
367210^100001-431439100001Patrick De Geest07/2018
367310^100000+11769399100001Robert Price08/2018
367410^100000+11848159100001Robert Price08/2018
367510^100000+11863467100001Robert Price08/2018
369110^100000+11992051100001Robert Price09/2018
36922^332196-1-2*29696100001Matt Stath11/2018
369310^100000+12363957100001Robert Price11/2018
36942^332196+1+2*17152100001Matt Stath12/2018
369510^100000+12778033100001Robert Price02/2019
372610^99999+309403100000Daniel Heuer01/2004
372710^100000-260199100000Patrick De Geest01/2010
372810^99999-5951199999Patrick De Geest07/2009
37292^332141-11307399985Enzo Doria07/2014
3731(3^209561+2)/72810125599978Lelio R Paula09/2013
373023827^15702+15702^2382799978Hans Havermann04/2018
37322^332085+186589799968Enzo Doria03/2016
3733(9787*2^332070-1)/93640236999959Lelio R Paula05/2015
37342^332023+19199949Lelio R Paula02/2011
37352^331938+7114999924Enzo Doria04/2016
37362^331932-7879599922Lelio R Paula09/2016
37372^331921+77199919Lelio R Paula01/2013
3738(3^209419-2)/513275599912Lelio R Paula09/2013
37392^331860-11498999900Enzo Doria05/2015
37402^331746-1165599866Lelio R Paula09/2016
374111^95891-2899861Lelio R Paula08/2016
3742(2^331694-5)/1199849Lelio R Paula10/2013
3743(3^209246+7)/6499834Lelio R Paula09/2013
374425062^9617+9617^2506299823Hans Havermann04/2018
374515^84866-5299811Lelio R Paula08/2016
374613^89600+3099810Lelio R Paula08/2016
374722950^22309+22309^2295099798Hans Havermann03/2018
37485^142772-3899794Lelio R Paula08/2016
3749(23*2^331459+1)/47599778Lelio R Paula11/2013
37502^331416-331416+199767Robert Price10/2014


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: April, 20 2019 09:21 (Time in France)

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