PRP Records

Probable Primes Top 10000

(302907 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 ?
12512^1128706+225529339775Enzo Doria07/2024
12522^1128621+25919339749Enzo Doria12/2023
12532^1127479+234083339405Enzo Doria03/2025
1254(2^1127239+2^563620+1)/5339333Borys Jaworski11/2006
1255Tau(907^20848)339132Nik Lygeros / Olivier Rozier01/2016
12562^1126380-3339075Paul Bourdelais06/2019
12572^1125784+24331338895Enzo Doria10/2023
12582^1125446+1885099338794Enzo Doria08/2017
1259(63^188147+1)/64338539Paul Bourdelais12/2020
12602^1124549+143807338523Enzo Doria10/2016
1261(4*10^338476+23)/9338476Serge Batalov11/2022
12622^1123484+50251338203Enzo Doria08/2025
12632^1123295+240773338146Enzo Doria09/2025
12642^1123083+237413338082Enzo Doria06/2025
12652^1121187+1886783337511Enzo Doria04/2017
1266(48^200443-1)/47336992Paul Bourdelais08/2020
1267(2*10^336405+43)/9336405Rytis Slatkevicius01/2023
1268(94^170371-1)/93336162Paul Bourdelais09/2020
12692^1116184+1883521336005Enzo Doria02/2017
12702^1115727+27683335868Enzo Doria01/2024
12712^1114974+28759335641Enzo Doria02/2024
12722^1114789+46427335585Enzo Doria05/2025
12732^1114517+1880087335504Enzo Doria10/2016
1274(5*10^335480+31)/9335480Serge Batalov11/2022
12755*3^701688+2^701688334791Jon Grantham08/2023
1276(101^166849+1)/102334418Paul Bourdelais12/2020
1277(3^700897+1)/4334413Paul Bourdelais04/2010
12782^1109520+48331333999Enzo Doria07/2025
12792^1109200+223201333903Enzo Doria05/2024
12802^1108463+32513333681Enzo Doria05/2024
12812^1107871+240233333503Enzo Doria08/2025
12822^1104500+22411332488Enzo Doria10/2023
12832^1104408-114539332460Enzo Doria03/2015
1284(3^695701-1)/80701318331926Paul Vanderveen05/2025
12852^1101921+82085331712Enzo Doria10/2016
12862^1101895+29963331704Enzo Doria03/2024
12872^1101167-1101167^2331485Henri Lifchitz07/2024
12882^1101091+224153331462Enzo Doria06/2024
12892^1100655+683513331331Enzo Doria01/2017
12902^1100590+50809331311Enzo Doria09/2025
12912^1100373+48527331246Enzo Doria07/2025
1292(10^330906+71)/9330906Serge Batalov07/2015
12936^425185-425185^6330859Henri Lifchitz06/2025
12942^1098346+482899330636Enzo Doria11/2016
12952^1096976+25330223Henri Lifchitz11/2024
1296(19*10^330041+53)/9330042Rytis Slatkevicius12/2024
1297(2^1096212+19)/5329992Stefano Morozzi09/2022
12982^1095976+44701329922Enzo Doria05/2025
12992^1095820+239581329875Enzo Doria08/2025
13002^1095679+1878713329833Enzo Doria09/2016
13012^1094874+27499329590Enzo Doria01/2024
13022^1094740-1851539329550Enzo Doria08/2015
13032^1092242+19328798Stefano Morozzi10/2022
1304(19*10^328590+53)/9328591Rytis Slatkevicius12/2024
13052^1091469-379369328565Enzo Doria03/2014
13062^1090801+24227328364Enzo Doria10/2023
13072^1088416+237661327646Enzo Doria06/2025
13082^1087944+39091327504Enzo Doria11/2024
1309(69^178093-1)/68327485Paul Bourdelais08/2020
13102^1086662+43909327118Enzo Doria04/2025
1311(10^326884+7)/421326882Alfred Reich12/2021
13122^1085876+48151326882Enzo Doria06/2025
13132^1085750+582349326844Enzo Doria11/2016
1314(54308^69169-1)/(54308^263-1)326261Ryan Propper11/2023
13152^1083596+483061326195Enzo Doria12/2016
1316(2^541456-1)*10^162995+2^541455-1325990paolo galliani01/2019
13172^1082908+583561325988Enzo Doria05/2017
131830^220411-29^220411325574Jean-Louis Charton10/2018
13192^1081308+7325507Stefano Morozzi10/2022
13202^1080151+225413325158Enzo Doria08/2024
13212^1080032+25171325123Enzo Doria11/2023
13222^1078242+1881649324584Enzo Doria11/2016
13232^1077737+1880117324432Enzo Doria10/2016
13242^1076996+45631324209Enzo Doria05/2025
13253^679017-5*2^679017323974Jon Grantham08/2023
13262^1076006+29539323911Enzo Doria03/2024
13272^1075573+32417323780Enzo Doria05/2024
13282^1075425+1880117323736Enzo Doria10/2016
1329(28^223381+1)/29323267Paul Bourdelais12/2020
133010^322999+187071323000Stefano Morozzi03/2019
133110^322999-143151322999Patrick De Geest05/2020
13322^1072744+32641322929Enzo Doria05/2024
13332^1072146+1886869322749Enzo Doria04/2017
13342^1072118-7321953322740Enzo Doria02/2015
13352025^97561-2024^97561322579Henri Lifchitz01/2025
13362^1071026+1886869322411Enzo Doria04/2017
13372^1070539+1880633322265Enzo Doria10/2016
13382^1069894+235399322071Enzo Doria05/2025
13392^1069788+26587322039Enzo Doria12/2023
13402^1069293-1147195321890Enzo Doria05/2015
13412^1065968+1880941320889Enzo Doria10/2016
13422^1065897-1147195320867Enzo Doria05/2015
13432^1063427+1882103320124Enzo Doria12/2016
13442^1061095-1061095319422Henri Lifchitz10/2013
13452^1060950+653119319378Enzo Doria12/2016
13462^1060363+782753319202Enzo Doria11/2016
13472^1060028+31771319101Enzo Doria04/2024
1348(71^172259-1)/70318895Paul Bourdelais08/2020
13492^1058425+38507318618Enzo Doria11/2024
1350-30*Bern(85996)/236037521318354Sergey Batalov10/2023
1351(13^285707-1)/870834948318253Paul Vanderveen05/2025
13522^1055665+30407317787Enzo Doria03/2024
13532^1054736+483061317508Enzo Doria12/2016
13542^1053965+1879667317276Enzo Doria10/2016
1355(43^194119-1)/42317086Paul Bourdelais08/2020
13562^1052899+225413316955Enzo Doria08/2024
13572^1052186-458165316740Enzo Doria03/2015
135811^303909+2316489Paul Bourdelais08/2023
13592^1049026+214609315789Enzo Doria11/2023
13602^1048576+69661315653Boyan Hu08/2024
13612^1046613-114685315062Enzo Doria04/2015
13622^1045625-459373314765Enzo Doria06/2015
136310^(2*157363+1)-8*10^157363-1314727Robert Price07/2023
1364(7*10^314564-61)/9314564Erik Branger09/2016
13652^1044771+228023314508Enzo Doria11/2024
13662^1044206+7314338Stefano Morozzi10/2022
1367(7^371669-1)/6314096Paul Bourdelais02/2010
1368(53^181981-1)/52313784Paul Bourdelais08/2020
1369(8^347437-5^347437)/3313767Jon Grantham08/2023
1370(10^313741+1)/11/11294677313733Alfred Reich04/2024
13712^1041944+283051313657Enzo Doria12/2016
1372(1624^97969-1)/(1624^313-1)313533Sergey Batalov11/2023
13732^1041153-114391313419Enzo Doria02/2015
1374(2^1039700+9)/5312981Stefano Morozzi09/2022
1375(74^167311+1)/75312742Paul Bourdelais12/2020
13762^1038871+1866983312732Enzo Doria04/2016
13772^1038545+71657312634Enzo Doria08/2023
1378(55^179573-1)/54312521Paul Bourdelais08/2020
13792^1037647+1881263312363Enzo Doria11/2016
13802^1037226+1879699312237Enzo Doria10/2016
13812^1036867+1865843312129Enzo Doria02/2016
1382(76^165947+1)/77312114Paul Bourdelais01/2021
13832^1036324+39091311965Enzo Doria11/2024
13842^1036020-114539311874Enzo Doria02/2015
1385(90^159463-1)/89311628Paul Bourdelais08/2020
13862^1034546+28819311430Enzo Doria02/2024
13872^1032240+1883431310736Enzo Doria01/2017
138864211^64588+64588^64211310514Norbert Schneider11/2023
13892^1031450+29629310498Enzo Doria03/2024
13902^1030352+1870021310167Enzo Doria06/2016
13912^1030046+1882843310075Enzo Doria11/2016
13922^1029120+227971309796Enzo Doria11/2024
13933^648872+16309591Robert Price04/2020
1394(16976^73441-1)/(16976^271-1)309498Ryan Propper11/2023
139564221^64366+64366^64221309451Norbert Schneider06/2023
1396(11121^76729-1)/(11121^277-1)309336Ryan Propper11/2023
13972^1027478+219259309302Enzo Doria02/2024
13982^1026999+20513309158Enzo Doria07/2023
13995^442281+2309142Paul Bourdelais01/2021
14002^1026204+22741308919Enzo Doria09/2023
14012^1026190+15308914Stefano Morozzi10/2022
14022^1025108+20851308589Enzo Doria08/2023
14032^1022860+234121307912Enzo Doria03/2025
1404A352736(16)306985Kellen Shenton05/2022
14052^1019777+213947306984Enzo Doria10/2023
14062^1018820+236731306696Enzo Doria05/2025
1407(11^293831-1)/10305993Paul Bourdelais03/2010
1408(67^167449-1)/66305773Paul Bourdelais08/2020
1409(62^170539+1)/63305671Paul Bourdelais12/2020
14102^1015321-1015321305643Henri Lifchitz08/2013
14112^1014775+27113305478Enzo Doria12/2023
14122^1014450+7305380Stefano Morozzi10/2022
14132^1014404+46171305367Enzo Doria05/2025
14142^1014336+215731305346Enzo Doria12/2023
14152^1014224-2791229305312Enzo Doria01/2016
1416(10^304986+7)/673304984Alfred Reich11/2021
141765473^45250+45250^65473304818Hans Havermann02/2022
141866012^41423+41423^66012304794Hans Havermann03/2022
141965073^48202+48202^65073304742Hans Havermann04/2022
14202^1012054+31669304659Enzo Doria06/2024
1421238176^19+19^238176304569Hans Havermann03/2022
142273122^14615+14615^73122304539Hans Havermann05/2022
142364492^52639+52639^64492304487Hans Havermann03/2022
142465955^41288+41288^65955304437Hans Havermann04/2022
142571729^17530+17530^71729304403Hans Havermann03/2022
142670170^21733+21733^70170304336Hans Havermann03/2022
14272^1010751-107709304267Enzo Doria03/2014
142884473^3994+3994^84473304222Hans Havermann03/2022
1429(2^1010623-1)/12602017578957977304212Tony Prest / Never Odd Or Even02/2014
143074442^12125+12125^74442303998Hans Havermann02/2022
143177842^8039+8039^77842303989Hans Havermann01/2022
143264209^54140+54140^64209303935Hans Havermann02/2022
14332^1009577+1869587303913Enzo Doria06/2016
143467389^32338+32338^67389303906Hans Havermann02/2022
14358^336419-7^336419303817Jean-Louis Charton01/2008
14362^1009168+15303790Stefano Morozzi10/2022
143780766^5771+5771^80766303782Hans Havermann01/2022
143866094^39385+39385^66094303724Hans Havermann01/2022
143969147^24574+24574^69147303589Hans Havermann02/2022
144078390^7459+7459^78390303580Hans Havermann01/2022
14412^1008301+1869377303529Enzo Doria06/2016
144265008^46615+46615^65008303492Hans Havermann02/2022
1443(2^1007838+5)/3303389Serge Batalov08/2015
144465018^46293+46293^65018303343Hans Havermann01/2022
14456^389756+5303290Paul Bourdelais02/2021
144671016^18649+18649^71016303285Hans Havermann01/2022
14472^1007065+29231303157Enzo Doria03/2024
144880160^6047+6047^80160303129Hans Havermann01/2022
144967434^31237+31237^67434303094Hans Havermann03/2022
145065537^42102+42102^65537303063Hans Havermann02/2022
145171790^16553+16553^71790302874Hans Havermann11/2021
145265208^44129+44129^65208302874Hans Havermann11/2021
145384181^3960+3960^84181302858Hans Havermann11/2021
1454(13703^73441-1)/(13703^271-1)302691Ryan Propper11/2023
145571956^16087+16087^71956302682Hans Havermann11/2021
14562^1005326+383059302634Enzo Doria12/2016
14572^1004929+1877567302514Enzo Doria08/2016
145869341^22978+22978^69341302418Hans Havermann12/2021
1459111443^516+516^111443302306Hans Havermann12/2021
146067638^29387+29387^67638302218Hans Havermann11/2021
14612^1003494+1874899302082Enzo Doria06/2016
146275189^10400+10400^75189302037Hans Havermann12/2021
146367237^31042+31042^67237302026Hans Havermann12/2021
146464540^47791+47791^64540302005Hans Havermann11/2021
14652^1003046+60529301947Enzo Doria04/2016
146683278^4209+4209^83278301815Hans Havermann09/2021
146764431^48250+48250^64431301763Hans Havermann09/2021
146867237^30714+30714^67237301716Hans Havermann09/2021
14692^1002144+235861301676Enzo Doria05/2025
147064641^46288+46288^64641301581Hans Havermann09/2021
147171513^16482+16482^71513301572Hans Havermann10/2021
147272017^15396+15396^72017301565Hans Havermann09/2021
147365534^39927+39927^65534301540Hans Havermann10/2021
1474(23^221411-1)/22301501Paul Bourdelais08/2020
147563169^59152+59152^63169301441Hans Havermann09/2021
147675055^10348+10348^75055301336Hans Havermann09/2021
14772^1000647+1881353301225Enzo Doria11/2016
147883686^3961+3961^83686301086Hans Havermann10/2021
147968529^24742+24742^68529301078Hans Havermann09/2021
148065207^41416+41416^65207301072Hans Havermann10/2021
14822^1000000+821751301030Tony Prest / Never Odd Or Even10/2015
14812^999999+77151301030Norman Luhn09/2023
148390762^2071+2071^90762300984Hans Havermann06/2021
148463909^51142+51142^63909300934Hans Havermann08/2021
14852^999646+1874029300924Enzo Doria06/2016
148666280^34607+34607^66280300856Hans Havermann06/2021
148765534^38925+38925^65534300817Hans Havermann07/2021
148863296^56517+56517^63296300794Hans Havermann06/2021
1489110610^523+523^110610300694Hans Havermann06/2021
149066428^33609+33609^66428300684Hans Havermann06/2021
149174247^11210+11210^74247300672Hans Havermann06/2021
1492(59^169777-1)/58300649Paul Bourdelais08/2020
149310^300476+3300477Ed Trice10/2012
149410^300476-530913300476Patrick De Geest03/2016
149566703^31960+31960^66703300471Hans Havermann06/2021
149663722^51915+51915^63722300468Hans Havermann06/2021
14972^998053+1879667300444Enzo Doria09/2016
149877018^7959+7959^77018300437Hans Havermann07/2021
1499314738^9+9^314738300337Anatoly F. Selevich02/2011
15002^997689+217787300335Enzo Doria01/2024


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: April, 05 2026 15:51 (Time in France)

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