PRP Records

Probable Primes Top 10000

(302984 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) !!!


Submit your PRPs


See the Top discoverers
See the Latest PRPs
Search by form



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 ?
12512^1151754+41599346713Enzo Doria02/2025
12522^1149592+49801346062Enzo Doria09/2025
12532^1148995+50693345882Enzo Doria09/2025
1254(2^1148729+2^574365+1)/5345802Borys Jaworski03/2007
1255(19*10^345503+53)/9345504Rytis Slatkevicius12/2024
12562^1145882+80779344945Enzo Doria09/2016
12572^1145327+51893344778Enzo Doria10/2025
12582^1143425+221177344206Enzo Doria03/2024
12592^1141813+27047343720Enzo Doria12/2023
12602^1141114+221869343510Enzo Doria04/2024
12612^1139423+231083343001Enzo Doria01/2025
12622^1138296+27541342662Enzo Doria01/2024
12632^1136462+1887289342110Enzo Doria05/2017
1264F(1636007)341905Henri Lifchitz03/2009
1265(2^1135567+13)/3341840Stefano Morozzi09/2022
12662^1134873+223637341631Enzo Doria06/2024
12672^1133678+782569341272Enzo Doria11/2016
1268(11^327001+1)/12340536Paul Bourdelais09/2013
12692^1130530+51799340324Enzo Doria10/2025
12702^1129965+223667340154Enzo Doria06/2024
12712^1129361+221597339972Enzo Doria04/2024
12722^1128706+225529339775Enzo Doria07/2024
12732^1128621+25919339749Enzo Doria12/2023
12742^1127479+234083339405Enzo Doria03/2025
1275(2^1127239+2^563620+1)/5339333Borys Jaworski11/2006
1276Tau(907^20848)339132Nik Lygeros / Olivier Rozier01/2016
12772^1126380-3339075Paul Bourdelais06/2019
12782^1125784+24331338895Enzo Doria10/2023
12792^1125446+1885099338794Enzo Doria08/2017
1280(63^188147+1)/64338539Paul Bourdelais12/2020
12812^1124549+143807338523Enzo Doria10/2016
1282(4*10^338476+23)/9338476Serge Batalov11/2022
12832^1123484+50251338203Enzo Doria08/2025
12842^1123295+240773338146Enzo Doria09/2025
12852^1123083+237413338082Enzo Doria06/2025
12862^1121187+1886783337511Enzo Doria04/2017
1287(48^200443-1)/47336992Paul Bourdelais08/2020
1288(2*10^336405+43)/9336405Rytis Slatkevicius01/2023
1289(94^170371-1)/93336162Paul Bourdelais09/2020
12902^1116184+1883521336005Enzo Doria02/2017
12912^1115727+27683335868Enzo Doria01/2024
12922^1114974+28759335641Enzo Doria02/2024
12932^1114789+46427335585Enzo Doria05/2025
12942^1114517+1880087335504Enzo Doria10/2016
1295(5*10^335480+31)/9335480Serge Batalov11/2022
12965*3^701688+2^701688334791Jon Grantham08/2023
1297(101^166849+1)/102334418Paul Bourdelais12/2020
1298(3^700897+1)/4334413Paul Bourdelais04/2010
12992^1109520+48331333999Enzo Doria07/2025
13002^1109200+223201333903Enzo Doria05/2024
13012^1108463+32513333681Enzo Doria05/2024
13022^1107871+240233333503Enzo Doria08/2025
13032^1104500+22411332488Enzo Doria10/2023
13042^1104408-114539332460Enzo Doria03/2015
1305(3^695701-1)/80701318331926Paul Vanderveen05/2025
13062^1101921+82085331712Enzo Doria10/2016
13072^1101895+29963331704Enzo Doria03/2024
13082^1101167-1101167^2331485Henri Lifchitz07/2024
13092^1101091+224153331462Enzo Doria06/2024
13102^1100655+683513331331Enzo Doria01/2017
13112^1100590+50809331311Enzo Doria09/2025
13122^1100373+48527331246Enzo Doria07/2025
1313(10^330906+71)/9330906Serge Batalov07/2015
13146^425185-425185^6330859Henri Lifchitz06/2025
13152^1098346+482899330636Enzo Doria11/2016
13162^1096976+25330223Henri Lifchitz11/2024
1317(19*10^330041+53)/9330042Rytis Slatkevicius12/2024
1318(2^1096212+19)/5329992Stefano Morozzi09/2022
13192^1095976+44701329922Enzo Doria05/2025
13202^1095820+239581329875Enzo Doria08/2025
13212^1095679+1878713329833Enzo Doria09/2016
13222^1094874+27499329590Enzo Doria01/2024
13232^1094740-1851539329550Enzo Doria08/2015
13242^1092242+19328798Stefano Morozzi10/2022
1325(19*10^328590+53)/9328591Rytis Slatkevicius12/2024
13262^1091469-379369328565Enzo Doria03/2014
13272^1090801+24227328364Enzo Doria10/2023
13282^1088416+237661327646Enzo Doria06/2025
13292^1087944+39091327504Enzo Doria11/2024
1330(69^178093-1)/68327485Paul Bourdelais08/2020
13312^1086662+43909327118Enzo Doria04/2025
1332(10^326884+7)/421326882Alfred Reich12/2021
13332^1085876+48151326882Enzo Doria06/2025
13342^1085750+582349326844Enzo Doria11/2016
1335(54308^69169-1)/(54308^263-1)326261Ryan Propper11/2023
13362^1083596+483061326195Enzo Doria12/2016
1337(2^541456-1)*10^162995+2^541455-1325990paolo galliani01/2019
13382^1082908+583561325988Enzo Doria05/2017
133930^220411-29^220411325574Jean-Louis Charton10/2018
13402^1081308+7325507Stefano Morozzi10/2022
13412^1080151+225413325158Enzo Doria08/2024
13422^1080032+25171325123Enzo Doria11/2023
13432^1078242+1881649324584Enzo Doria11/2016
13442^1077737+1880117324432Enzo Doria10/2016
13452^1076996+45631324209Enzo Doria05/2025
13463^679017-5*2^679017323974Jon Grantham08/2023
13472^1076006+29539323911Enzo Doria03/2024
13482^1075573+32417323780Enzo Doria05/2024
13492^1075425+1880117323736Enzo Doria10/2016
1350(28^223381+1)/29323267Paul Bourdelais12/2020
135110^322999+187071323000Stefano Morozzi03/2019
135210^322999-143151322999Patrick De Geest05/2020
13532^1072744+32641322929Enzo Doria05/2024
13542^1072146+1886869322749Enzo Doria04/2017
13552^1072118-7321953322740Enzo Doria02/2015
13562025^97561-2024^97561322579Henri Lifchitz01/2025
13572^1071026+1886869322411Enzo Doria04/2017
13582^1070539+1880633322265Enzo Doria10/2016
13592^1069894+235399322071Enzo Doria05/2025
13602^1069788+26587322039Enzo Doria12/2023
13612^1069293-1147195321890Enzo Doria05/2015
13622^1065968+1880941320889Enzo Doria10/2016
13632^1065897-1147195320867Enzo Doria05/2015
13642^1063427+1882103320124Enzo Doria12/2016
13652^1061095-1061095319422Henri Lifchitz10/2013
13662^1060950+653119319378Enzo Doria12/2016
13672^1060363+782753319202Enzo Doria11/2016
13682^1060028+31771319101Enzo Doria04/2024
1369(71^172259-1)/70318895Paul Bourdelais08/2020
13702^1058425+38507318618Enzo Doria11/2024
1371-30*Bern(85996)/236037521318354Sergey Batalov10/2023
1372(13^285707-1)/870834948318253Paul Vanderveen05/2025
13732^1055665+30407317787Enzo Doria03/2024
13742^1054736+483061317508Enzo Doria12/2016
13752^1053965+1879667317276Enzo Doria10/2016
1376(43^194119-1)/42317086Paul Bourdelais08/2020
13772^1052899+225413316955Enzo Doria08/2024
13782^1052186-458165316740Enzo Doria03/2015
137911^303909+2316489Paul Bourdelais08/2023
13802^1049026+214609315789Enzo Doria11/2023
13812^1048576+69661315653Boyan Hu08/2024
13822^1046613-114685315062Enzo Doria04/2015
13832^1045625-459373314765Enzo Doria06/2015
138410^(2*157363+1)-8*10^157363-1314727Robert Price07/2023
1385(7*10^314564-61)/9314564Erik Branger09/2016
13862^1044771+228023314508Enzo Doria11/2024
13872^1044206+7314338Stefano Morozzi10/2022
1388(7^371669-1)/6314096Paul Bourdelais02/2010
1389(53^181981-1)/52313784Paul Bourdelais08/2020
1390(8^347437-5^347437)/3313767Jon Grantham08/2023
1391(10^313741+1)/11/11294677313733Alfred Reich04/2024
13922^1041944+283051313657Enzo Doria12/2016
1393(1624^97969-1)/(1624^313-1)313533Sergey Batalov11/2023
13942^1041153-114391313419Enzo Doria02/2015
1395(2^1039700+9)/5312981Stefano Morozzi09/2022
1396(74^167311+1)/75312742Paul Bourdelais12/2020
13972^1038871+1866983312732Enzo Doria04/2016
13982^1038545+71657312634Enzo Doria08/2023
1399(55^179573-1)/54312521Paul Bourdelais08/2020
14002^1037647+1881263312363Enzo Doria11/2016
14012^1037226+1879699312237Enzo Doria10/2016
14022^1036867+1865843312129Enzo Doria02/2016
1403(76^165947+1)/77312114Paul Bourdelais01/2021
14042^1036324+39091311965Enzo Doria11/2024
14052^1036020-114539311874Enzo Doria02/2015
1406(90^159463-1)/89311628Paul Bourdelais08/2020
14072^1034546+28819311430Enzo Doria02/2024
14082^1032240+1883431310736Enzo Doria01/2017
140964211^64588+64588^64211310514Norbert Schneider11/2023
14102^1031450+29629310498Enzo Doria03/2024
14112^1030352+1870021310167Enzo Doria06/2016
14122^1030046+1882843310075Enzo Doria11/2016
14132^1029120+227971309796Enzo Doria11/2024
14143^648872+16309591Robert Price04/2020
1415(16976^73441-1)/(16976^271-1)309498Ryan Propper11/2023
141664221^64366+64366^64221309451Norbert Schneider06/2023
1417(11121^76729-1)/(11121^277-1)309336Ryan Propper11/2023
14182^1027478+219259309302Enzo Doria02/2024
14192^1026999+20513309158Enzo Doria07/2023
14205^442281+2309142Paul Bourdelais01/2021
14212^1026204+22741308919Enzo Doria09/2023
14222^1026190+15308914Stefano Morozzi10/2022
14232^1025108+20851308589Enzo Doria08/2023
14242^1022860+234121307912Enzo Doria03/2025
1425A352736(16)306985Kellen Shenton05/2022
14262^1019777+213947306984Enzo Doria10/2023
14272^1018820+236731306696Enzo Doria05/2025
1428(11^293831-1)/10305993Paul Bourdelais03/2010
1429(67^167449-1)/66305773Paul Bourdelais08/2020
1430(62^170539+1)/63305671Paul Bourdelais12/2020
14312^1015321-1015321305643Henri Lifchitz08/2013
14322^1014775+27113305478Enzo Doria12/2023
14332^1014450+7305380Stefano Morozzi10/2022
14342^1014404+46171305367Enzo Doria05/2025
14352^1014336+215731305346Enzo Doria12/2023
14362^1014224-2791229305312Enzo Doria01/2016
1437(10^304986+7)/673304984Alfred Reich11/2021
143865473^45250+45250^65473304818Hans Havermann02/2022
143966012^41423+41423^66012304794Hans Havermann03/2022
144065073^48202+48202^65073304742Hans Havermann04/2022
14412^1012054+31669304659Enzo Doria06/2024
1442238176^19+19^238176304569Hans Havermann03/2022
144373122^14615+14615^73122304539Hans Havermann05/2022
144464492^52639+52639^64492304487Hans Havermann03/2022
144565955^41288+41288^65955304437Hans Havermann04/2022
144671729^17530+17530^71729304403Hans Havermann03/2022
144770170^21733+21733^70170304336Hans Havermann03/2022
14482^1010751-107709304267Enzo Doria03/2014
144984473^3994+3994^84473304222Hans Havermann03/2022
1450(2^1010623-1)/12602017578957977304212Tony Prest / Never Odd Or Even02/2014
145174442^12125+12125^74442303998Hans Havermann02/2022
145277842^8039+8039^77842303989Hans Havermann01/2022
145364209^54140+54140^64209303935Hans Havermann02/2022
14542^1009577+1869587303913Enzo Doria06/2016
145567389^32338+32338^67389303906Hans Havermann02/2022
14568^336419-7^336419303817Jean-Louis Charton01/2008
14572^1009168+15303790Stefano Morozzi10/2022
145880766^5771+5771^80766303782Hans Havermann01/2022
145966094^39385+39385^66094303724Hans Havermann01/2022
146069147^24574+24574^69147303589Hans Havermann02/2022
146178390^7459+7459^78390303580Hans Havermann01/2022
14622^1008301+1869377303529Enzo Doria06/2016
146365008^46615+46615^65008303492Hans Havermann02/2022
1464(2^1007838+5)/3303389Serge Batalov08/2015
146565018^46293+46293^65018303343Hans Havermann01/2022
14666^389756+5303290Paul Bourdelais02/2021
146771016^18649+18649^71016303285Hans Havermann01/2022
14682^1007065+29231303157Enzo Doria03/2024
146980160^6047+6047^80160303129Hans Havermann01/2022
147067434^31237+31237^67434303094Hans Havermann03/2022
147165537^42102+42102^65537303063Hans Havermann02/2022
147271790^16553+16553^71790302874Hans Havermann11/2021
147365208^44129+44129^65208302874Hans Havermann11/2021
147484181^3960+3960^84181302858Hans Havermann11/2021
1475(13703^73441-1)/(13703^271-1)302691Ryan Propper11/2023
147671956^16087+16087^71956302682Hans Havermann11/2021
14772^1005326+383059302634Enzo Doria12/2016
14782^1004929+1877567302514Enzo Doria08/2016
147969341^22978+22978^69341302418Hans Havermann12/2021
1480111443^516+516^111443302306Hans Havermann12/2021
148167638^29387+29387^67638302218Hans Havermann11/2021
14822^1003494+1874899302082Enzo Doria06/2016
148375189^10400+10400^75189302037Hans Havermann12/2021
148467237^31042+31042^67237302026Hans Havermann12/2021
148564540^47791+47791^64540302005Hans Havermann11/2021
14862^1003046+60529301947Enzo Doria04/2016
148783278^4209+4209^83278301815Hans Havermann09/2021
148864431^48250+48250^64431301763Hans Havermann09/2021
148967237^30714+30714^67237301716Hans Havermann09/2021
14902^1002144+235861301676Enzo Doria05/2025
149164641^46288+46288^64641301581Hans Havermann09/2021
149271513^16482+16482^71513301572Hans Havermann10/2021
149372017^15396+15396^72017301565Hans Havermann09/2021
149465534^39927+39927^65534301540Hans Havermann10/2021
1495(23^221411-1)/22301501Paul Bourdelais08/2020
149663169^59152+59152^63169301441Hans Havermann09/2021
149775055^10348+10348^75055301336Hans Havermann09/2021
14982^1000647+1881353301225Enzo Doria11/2016
149983686^3961+3961^83686301086Hans Havermann10/2021
150068529^24742+24742^68529301078Hans Havermann09/2021


Find by discoverer :


Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: May, 02 2026 10:02 (Time in France)

Go back
Valid XHTML 1.0!    Valid CSS!