PRP Records

Probable Primes Top 10000

(288949 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 ?
60012^338156-151247101796Stefano Morozzi12/2021
60022^338156+103273101796Stefano Morozzi01/2022
60032^338152-25767101794Stefano Morozzi12/2021
60042^338147+29343101793Stefano Morozzi01/2022
60052^338141-77301101791Stefano Morozzi12/2021
60062^338133+1445101789Stefano Morozzi12/2021
60072^338128+128953101787Stefano Morozzi01/2022
60082^338123-25959101786Stefano Morozzi12/2021
60092^338122-20117101785Enzo Doria06/2013
6010(2^338139+5)/905333101785Lelio R Paula12/2013
60112^338117+103761101784Stefano Morozzi01/2022
60122^338118+53817101784Stefano Morozzi01/2022
60132^338110-175365101782Stefano Morozzi12/2021
60142^338110-3963101782Stefano Morozzi01/2022
601635^65917-7092101781Enzo Doria03/2013
60152^338107-1221101781Stefano Morozzi12/2021
60172^338100-100389101779Stefano Morozzi12/2021
60182^338100+27595101779Stefano Morozzi12/2021
60192^338101+101139101779Stefano Morozzi12/2021
60202^338097+100229101778Stefano Morozzi11/2021
60212^338097-25695101778Stefano Morozzi12/2021
60222^338093-128403101777Stefano Morozzi01/2022
60232^338090-175353101776Stefano Morozzi12/2021
60242^338086+177643101775Stefano Morozzi12/2021
60252^338085-3301101774Stefano Morozzi01/2022
60262^338073-77971101771Stefano Morozzi01/2022
60272^338070-152607101770Stefano Morozzi01/2022
60282^338069+79365101769Stefano Morozzi01/2022
60292^338064+100087101768Stefano Morozzi11/2021
60302^338060-151047101767Stefano Morozzi12/2021
60312^338058-76415101766Stefano Morozzi12/2021
60322^338056+50605101765Stefano Morozzi11/2021
60332^338053+53231101765Stefano Morozzi01/2022
60342^338046-25841101762Stefano Morozzi12/2021
60352^338046-2285101762Stefano Morozzi12/2021
60362^338046-177851101762Stefano Morozzi01/2022
60372^338034+125653101759Stefano Morozzi11/2021
60382^338034-25211101759Stefano Morozzi12/2021
60392^338029-27909101757Stefano Morozzi01/2022
60402^338024-128495101756Stefano Morozzi01/2022
60412^338020-52437101755Stefano Morozzi12/2021
60422^338018-102741101754Stefano Morozzi01/2022
60432^338016+50797101753Stefano Morozzi11/2021
60442^338016+26707101753Stefano Morozzi12/2021
60462^338010-19833101752Enzo Doria06/2013
60452^338011+28665101752Stefano Morozzi01/2022
60472^338005-75829101750Stefano Morozzi12/2021
60482^338006-125055101750Stefano Morozzi12/2021
60492^338006+5013101750Stefano Morozzi01/2022
60502^338000+25113101749Stefano Morozzi12/2021
60523^213215-76101730Lelio R Paula09/2016
605123907^17998+17998^23907101730Hans Havermann01/2019
605310^101728+154953101729Patrick De Geest02/2020
60562^337930+63101728Lelio R Paula07/2011
605410^101728-987654321101728Robert Price12/2019
605510^101728-60741101728Patrick De Geest02/2020
60572^337920+1869661101725Enzo Doria05/2016
60582^337922+100280245065101725Paul Bourdelais10/2021
605924116^16509+16509^24116101715Hans Havermann01/2019
6060(2^337875+3174)/2101711Stefano Morozzi09/2020
60612^337859-19645101706Enzo Doria05/2013
60622^337754+1869169101675Enzo Doria05/2016
60633*10^101657-37101658Robert Price07/2018
6064(31*2^337677-1)/593101650Lelio R Paula03/2014
606511^97605-24101646Lelio R Paula10/2016
6066(83*10^101636+133)/9101637Robert Price08/2021
6067(2^337624+3606)/2101635Stefano Morozzi09/2020
60688^112539-112539101633Robert Price01/2014
6069(2^337575+1818)/2101620Stefano Morozzi02/2021
607025694^9003+9003^25694101605Hans Havermann12/2018
60712^337515-19869101603Enzo Doria06/2013
60722^337473+719101590Lelio R Paula08/2011
6073(2^337485-509203)/656647157101585Lelio R Paula12/2013
60742^337452-108815101584Enzo Doria03/2014
60752^337453+1185101584Lelio R Paula09/2016
6076(41*10^101583+319)/9101584Robert Price06/2021
60772^337410-113561101571Enzo Doria08/2014
60782^337387+855101564Lelio R Paula09/2016
60792^337367-17295101558Lelio R Paula09/2016
60802^337342-109035101551Enzo Doria04/2014
608123703^19238+19238^23703101548Hans Havermann12/2018
6082(26*10^101537-167)/3101538Robert Price10/2019
60832^337267-19101528Lelio R Paula07/2011
6084(2^337259+1766)/2101525Stefano Morozzi09/2020
6085(2^337257+2306)/2101525Stefano Morozzi02/2021
6086(2^337195+2646)/2101506Stefano Morozzi09/2020
60872^337183-19989101503Enzo Doria06/2013
60882^337149+72425101492Enzo Doria04/2016
608924041^16642+16642^24041101483Hans Havermann12/2018
609033982^969+969^33982101482Hans Havermann12/2018
60912^337101-20241101478Enzo Doria06/2013
60922^337035-20001101458Enzo Doria06/2013
6093(7*10^101456+89)/3101457Robert Price08/2020
60942^337017-16995101453Lelio R Paula09/2016
60952^336979-115315101441Enzo Doria06/2015
60962^336970-20885101439Enzo Doria06/2013
60972^336958+79101435Lelio R Paula10/2009
60982^336942+169101430Lelio R Paula10/2009
6099(15185*2^336894-1)/7939101416Lelio R Paula05/2015
61004*10^101415-89101416Robert Price11/2018
6101(14*10^101410-89)/3101411Robert Price05/2020
61022^336871+257463101409Tony Prest / Never Odd Or Even04/2016
61032^336871+318105101409Tony Prest / Never Odd Or Even04/2016
61042^336871+1010813101409Tony Prest / Never Odd Or Even04/2016
61052^336871+2302245101409Tony Prest / Never Odd Or Even04/2016
61062^336871+389273101409Tony Prest / Never Odd Or Even04/2016
61072^336871+1685475101409Tony Prest / Never Odd Or Even04/2016
61082^336871+1068119101409Tony Prest / Never Odd Or Even04/2016
61092^336871+586905101409Tony Prest / Never Odd Or Even04/2016
61102^336871+674571101409Tony Prest / Never Odd Or Even04/2016
61112^336871+707009101409Tony Prest / Never Odd Or Even04/2016
61122^336871+1210299101409Tony Prest / Never Odd Or Even04/2016
61132^336871+1921185101409Tony Prest / Never Odd Or Even04/2016
61142^336871+2003973101409Tony Prest / Never Odd Or Even04/2016
61152^336871+2656475101409Tony Prest / Never Odd Or Even04/2016
61162^336871+2703023101409Tony Prest / Never Odd Or Even04/2016
61172^336871+2704545101409Tony Prest / Never Odd Or Even04/2016
61182^336871+2766801101409Tony Prest / Never Odd Or Even04/2016
61192^336871+2127735101409Tony Prest / Never Odd Or Even04/2016
6120(2^336871+821089)/3101408Tony Prest / Never Odd Or Even05/2016
6121(2^336871+119567)/5101408Tony Prest / Never Odd Or Even05/2016
6122(2^336871+398161)/3101408Tony Prest / Never Odd Or Even05/2016
6123(2^336871+625889)/7101408Tony Prest / Never Odd Or Even05/2016
612424097^16150+16150^24097101405Hans Havermann12/2018
61252^336842+94065101400Lelio R Paula09/2016
6126(2^336871+904417)/3/3/3/5/19/9287177/9690011663/29993043103101378Tony Prest / Never Odd Or Even04/2016
6127(2^336871+631971)/13/251/1601/294277/614362921/30324278867101377Tony Prest / Never Odd Or Even04/2016
6128(2^336871+1443541)/3/89/1655197/11018131/47972707/468862691879101374Tony Prest / Never Odd Or Even04/2016
6129(2^336871+689863)/3/11/109/137/1867/7151/20800501/29243857/127778489101373Tony Prest / Never Odd Or Even04/2016
6130(2^336871+219839)/191/643/3011/9479/117127/175750007/4578271757101373Tony Prest / Never Odd Or Even04/2016
6131(2^336871+272895)/19/661/977572033/95853078653/520779768241101373Tony Prest / Never Odd Or Even04/2016
6132(2^336871+1023429)/2311/415873/991889/3630648341/207732189179101373Tony Prest / Never Odd Or Even04/2016
613310^101369+203811101370Patrick De Geest11/2016
613410^101369-99101369Lelio R Paula09/2016
6135(2^336871+1832627)/5/5/23/181/4397/91373/3746673331/115602484097/279351383917101363Tony Prest / Never Odd Or Even04/2016
61362^336701-113563101358Enzo Doria08/2014
613789717!4-512101351Robert Price11/2019
61382^336644-109023101340Enzo Doria04/2014
61392^336601-21081101327Enzo Doria06/2013
614020^77869+63101310Lelio R Paula09/2016
6141(13*2^336523-1)/19101304Lelio R Paula03/2014
61436^130179-137101299Lelio R Paula10/2016
6142(2^336506+lucasV(1,2,336506)+1)/2101299Mike Oakes11/2016
6144(24737*2^336485+1)/7285101293Lelio R Paula07/2014
6145(2^336448+9)/497405101276Lelio R Paula12/2013
61462^336369-19753101258Enzo Doria05/2013
614723842^17653+17653^23842101253Hans Havermann11/2018
61482^336350-344291101252Enzo Doria07/2015
6149(17*10^101251-161)/9101252Robert Price02/2021
6150(56*10^101222-47)/9101223Robert Price02/2019
61512^336243-108777101220Enzo Doria03/2014
6152(31*2^336189-1)/19101204Lelio R Paula03/2014
615323535^19954+19954^23535101202Hans Havermann11/2018
6154(78557*2^336178+1)/1268757101199Lelio R Paula07/2014
61552^336150-20393101192Enzo Doria06/2013
615623996^16473+16473^23996101186Hans Havermann11/2018
61572^336112-1865249101180Enzo Doria03/2016
61582^336103-109015101178Enzo Doria04/2014
6159(2^336095+2078)/2101175Stefano Morozzi09/2020
616013^90809-96101157Lelio R Paula10/2016
616126199^7258+7258^26199101150Hans Havermann11/2018
616219^79098-30101147Lelio R Paula10/2016
616319^79095+88101144Lelio R Paula10/2016
616415^85976+32101116Lelio R Paula10/2016
61652^335872-2776215101108Tony Prest / Never Odd Or Even01/2019
6166(3^211950+7)/28854513015920697088101107Lelio R Paula11/2013
6167(4^167933+17)/3101106Robert Price02/2017
61682^335858+153101104Lelio R Paula10/2009
6169(2^335872-2776871)/5/5/479101104Tony Prest / Never Odd Or Even01/2019
6170(2^335872-2758787)/23/31/20809101101Tony Prest / Never Odd Or Even01/2019
6171(2^335839+2114)/2101098Stefano Morozzi09/2020
6172(2^335872-2795083)/3/3/113/283/148367101097Tony Prest / Never Odd Or Even01/2019
61746^129918-35101096Lelio R Paula10/2016
6173(2*10^101096-107)/3101096Robert Price11/2020
61753^211885-70101095Lelio R Paula09/2016
6176(29*2^335835-1)/550599101093Lelio R Paula03/2014
6177(2^335872-2794771)/3/5/5/61/232312440293101093Tony Prest / Never Odd Or Even01/2019
61782^335818-20033101092Enzo Doria06/2013
61792^335813-110083101090Enzo Doria04/2014
61802^335804+2155101088Lelio R Paula09/2016
6181(2^335872-2756679)/7/7/7/13/31/4987/437653/8734021101087Tony Prest / Never Odd Or Even01/2019
61822^335784-16145101082Enzo Doria04/2013
618311^97051+62101069Lelio R Paula10/2016
61843*10^101065+11101066Robert Price07/2018
618527820^4293+4293^27820101064Hans Havermann10/2018
6186(2^335714+3750)/2101060Stefano Morozzi01/2021
6187(2^335690+1038)/2101053Stefano Morozzi09/2020
6188(2^335691-3)/26515101049Lelio R Paula12/2013
61892^335658-94395101044Lelio R Paula09/2016
619024514^13215+13215^24514101024Hans Havermann11/2018
61912^335586+169101022Lelio R Paula10/2009
6192(56^57787-1)/55101021Paul Bourdelais08/2017
6193(2^335562+1258)/2101014Stefano Morozzi09/2020
6194(38*10^100999+169)/9101000Robert Price11/2021
6195(19*10^100997+737)/9100998Robert Price07/2018
619647599!2+1024100991Robert Price02/2015
61972^335468-18629100986Enzo Doria05/2013
61982^335454-20961100982Enzo Doria06/2013
6199(2^335454+3258)/2100982Stefano Morozzi02/2021
620010^100978+61100979Lelio R Paula09/2016
620110^100978-156437100978Patrick De Geest11/2016
6202(2^335422+3114)/2100972Stefano Morozzi09/2020
6203(15*2^335417+1)/481100970Lelio R Paula12/2013
62042^335403-1859167100967Enzo Doria03/2016
620523599^18976+18976^23599100962Hans Havermann10/2018
62066*10^100958+43100959Robert Price07/2020
62079*2^335364-5100956Lelio R Paula08/2014
62082^335349+72287100951Enzo Doria04/2016
62092^335329+16095100945Lelio R Paula09/2016
6210232823#+233663100937Makoto Morimoto10/2017
6211(232823#+10141)/(10141*1674461)100927Makoto Morimoto06/2019
62122^335237-20893100917Enzo Doria06/2013
62132^335222-19337100912Enzo Doria05/2013
62142^335222-109985100912Enzo Doria04/2014
62152^335182-17237100900Enzo Doria05/2013
6216(2^335107+1634)/2100877Stefano Morozzi09/2020
62172^335043-16737100858Enzo Doria05/2013
6218(21181*2^335049+1)/1343811100858Lelio R Paula07/2014
62192^335038-20633100857Enzo Doria06/2013
62202^335031+1873373100855Enzo Doria06/2016
622123489^19650+19650^23489100847Hans Havermann10/2018
62223^211354-8816100842Enzo Doria05/2014
62232^334984-112757100841Enzo Doria06/2014
6224(746*10^100827+1)/9100829Robert Price03/2020
622529451^2648+2648^29451100809Hans Havermann09/2018
622625583^8716+8716^25583100806Hans Havermann08/2018
62282^334857+48527100803Lelio R Paula08/2011
622712^93406+29100803Lelio R Paula10/2016
622928780^3179+3179^28780100796Hans Havermann09/2018
6230(5*2^334825+1)/47100792Lelio R Paula12/2013
62312^334809-13100788Lelio R Paula04/2011
6232(82*10^100780-1)/9100781Robert Price12/2014
623331395^1622+1622^31395100780Hans Havermann09/2018
6234(2^334779+47)/5100778Lelio R Paula12/2013
62352^334751+2049100771Lelio R Paula09/2016
623613^90443-98100749Lelio R Paula10/2016
6237(2^334674+3190)/2100747Stefano Morozzi09/2020
6238(2^334651+1050)/2100740Stefano Morozzi09/2020
6239(7*10^100737+71)/3100738Robert Price05/2018
6240(24737*2^334628+1)/3100737Lelio R Paula07/2014
624115^85639-28100720Lelio R Paula10/2016
624227068^5259+5259^27068100718Hans Havermann08/2018
62432^334562+577294575100711Lelio R Paula09/2016
62444*3^211077-5100710Lelio R Paula08/2014
62452^334524+145100702Lelio R Paula07/2009
6246(2^334451+714)/2100680Stefano Morozzi09/2020
624727648^4375+4375^27648100666Hans Havermann09/2018
6248(1017*2^334391-1)/3535100662Lelio R Paula05/2015
6249(2^334309+3122)/2100637Stefano Morozzi09/2020
62502^334294-113111100633Enzo Doria07/2014


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: January, 19 2022 17:15 (Time in France)

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