PRP Records

Probable Primes Top 10000

(303011 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 ?
12512^1158543+239573348757Enzo Doria08/2025
1252(7*10^348724-61)/9348724Erik Branger09/2016
12532^1158213+52817348657Enzo Doria11/2025
1254(4*10^348453+41)/9348453Serge Batalov11/2022
1255(127^165601-1)/126348390Alexander Zhirkov09/2015
12562^1156938+51289348274Enzo Doria10/2025
12572^1155134+43909347730Enzo Doria04/2025
12582^1155085+213377347716Enzo Doria09/2023
12592^1153083+1883693347113Enzo Doria04/2017
12602^1152186+225529346843Enzo Doria07/2024
12612^1151973+52817346779Enzo Doria11/2025
12622^1151782+42979346721Enzo Doria02/2025
12632^1151754+41599346713Enzo Doria02/2025
12642^1149592+49801346062Enzo Doria09/2025
12652^1148995+50693345882Enzo Doria09/2025
1266(2^1148729+2^574365+1)/5345802Borys Jaworski03/2007
1267(19*10^345503+53)/9345504Rytis Slatkevicius12/2024
12682^1145882+80779344945Enzo Doria09/2016
12692^1145327+51893344778Enzo Doria10/2025
12702^1143425+221177344206Enzo Doria03/2024
12712^1141813+27047343720Enzo Doria12/2023
12722^1141114+221869343510Enzo Doria04/2024
12732^1139423+231083343001Enzo Doria01/2025
12742^1138296+27541342662Enzo Doria01/2024
12752^1136462+1887289342110Enzo Doria05/2017
1276F(1636007)341905Henri Lifchitz03/2009
1277(2^1135567+13)/3341840Stefano Morozzi09/2022
12782^1134873+223637341631Enzo Doria06/2024
12792^1133678+782569341272Enzo Doria11/2016
1280(11^327001+1)/12340536Paul Bourdelais09/2013
12812^1130530+51799340324Enzo Doria10/2025
12822^1129965+223667340154Enzo Doria06/2024
12832^1129361+221597339972Enzo Doria04/2024
12842^1128706+225529339775Enzo Doria07/2024
12852^1128621+25919339749Enzo Doria12/2023
12862^1127479+234083339405Enzo Doria03/2025
1287(2^1127239+2^563620+1)/5339333Borys Jaworski11/2006
1288Tau(907^20848)339132Nik Lygeros / Olivier Rozier01/2016
12892^1126380-3339075Paul Bourdelais06/2019
12902^1125784+24331338895Enzo Doria10/2023
12912^1125446+1885099338794Enzo Doria08/2017
1292(63^188147+1)/64338539Paul Bourdelais12/2020
12932^1124549+143807338523Enzo Doria10/2016
1294(4*10^338476+23)/9338476Serge Batalov11/2022
12952^1123484+50251338203Enzo Doria08/2025
12962^1123295+240773338146Enzo Doria09/2025
12972^1123083+237413338082Enzo Doria06/2025
12982^1121187+1886783337511Enzo Doria04/2017
1299(48^200443-1)/47336992Paul Bourdelais08/2020
1300(2*10^336405+43)/9336405Rytis Slatkevicius01/2023
1301(94^170371-1)/93336162Paul Bourdelais09/2020
13022^1116184+1883521336005Enzo Doria02/2017
13032^1115727+27683335868Enzo Doria01/2024
13042^1114974+28759335641Enzo Doria02/2024
13052^1114789+46427335585Enzo Doria05/2025
13062^1114517+1880087335504Enzo Doria10/2016
1307(5*10^335480+31)/9335480Serge Batalov11/2022
13085*3^701688+2^701688334791Jon Grantham08/2023
1309(101^166849+1)/102334418Paul Bourdelais12/2020
1310(3^700897+1)/4334413Paul Bourdelais04/2010
13112^1109520+48331333999Enzo Doria07/2025
13122^1109200+223201333903Enzo Doria05/2024
13132^1108463+32513333681Enzo Doria05/2024
13142^1107871+240233333503Enzo Doria08/2025
13152^1104500+22411332488Enzo Doria10/2023
13162^1104408-114539332460Enzo Doria03/2015
1317(3^695701-1)/80701318331926Paul Vanderveen05/2025
13182^1101921+82085331712Enzo Doria10/2016
13192^1101895+29963331704Enzo Doria03/2024
13202^1101167-1101167^2331485Henri Lifchitz07/2024
13212^1101091+224153331462Enzo Doria06/2024
13222^1100655+683513331331Enzo Doria01/2017
13232^1100590+50809331311Enzo Doria09/2025
13242^1100373+48527331246Enzo Doria07/2025
1325(10^330906+71)/9330906Serge Batalov07/2015
13266^425185-425185^6330859Henri Lifchitz06/2025
13272^1098346+482899330636Enzo Doria11/2016
13282^1096976+25330223Henri Lifchitz11/2024
1329(19*10^330041+53)/9330042Rytis Slatkevicius12/2024
1330(2^1096212+19)/5329992Stefano Morozzi09/2022
13312^1095976+44701329922Enzo Doria05/2025
13322^1095820+239581329875Enzo Doria08/2025
13332^1095679+1878713329833Enzo Doria09/2016
13342^1094874+27499329590Enzo Doria01/2024
13352^1094740-1851539329550Enzo Doria08/2015
13362^1092242+19328798Stefano Morozzi10/2022
1337(19*10^328590+53)/9328591Rytis Slatkevicius12/2024
13382^1091469-379369328565Enzo Doria03/2014
13392^1090801+24227328364Enzo Doria10/2023
13402^1088416+237661327646Enzo Doria06/2025
13412^1087944+39091327504Enzo Doria11/2024
1342(69^178093-1)/68327485Paul Bourdelais08/2020
13432^1086662+43909327118Enzo Doria04/2025
1344(10^326884+7)/421326882Alfred Reich12/2021
13452^1085876+48151326882Enzo Doria06/2025
13462^1085750+582349326844Enzo Doria11/2016
1347(54308^69169-1)/(54308^263-1)326261Ryan Propper11/2023
13482^1083596+483061326195Enzo Doria12/2016
1349(2^541456-1)*10^162995+2^541455-1325990paolo galliani01/2019
13502^1082908+583561325988Enzo Doria05/2017
135130^220411-29^220411325574Jean-Louis Charton10/2018
13522^1081308+7325507Stefano Morozzi10/2022
13532^1080151+225413325158Enzo Doria08/2024
13542^1080032+25171325123Enzo Doria11/2023
13552^1078242+1881649324584Enzo Doria11/2016
13562^1077737+1880117324432Enzo Doria10/2016
13572^1076996+45631324209Enzo Doria05/2025
13583^679017-5*2^679017323974Jon Grantham08/2023
13592^1076006+29539323911Enzo Doria03/2024
13602^1075573+32417323780Enzo Doria05/2024
13612^1075425+1880117323736Enzo Doria10/2016
1362(28^223381+1)/29323267Paul Bourdelais12/2020
136310^322999+187071323000Stefano Morozzi03/2019
136410^322999-143151322999Patrick De Geest05/2020
13652^1072744+32641322929Enzo Doria05/2024
13662^1072146+1886869322749Enzo Doria04/2017
13672^1072118-7321953322740Enzo Doria02/2015
13682025^97561-2024^97561322579Henri Lifchitz01/2025
13692^1071026+1886869322411Enzo Doria04/2017
13702^1070539+1880633322265Enzo Doria10/2016
13712^1069894+235399322071Enzo Doria05/2025
13722^1069788+26587322039Enzo Doria12/2023
13732^1069293-1147195321890Enzo Doria05/2015
13742^1065968+1880941320889Enzo Doria10/2016
13752^1065897-1147195320867Enzo Doria05/2015
13762^1063427+1882103320124Enzo Doria12/2016
13772^1061095-1061095319422Henri Lifchitz10/2013
13782^1060950+653119319378Enzo Doria12/2016
13792^1060363+782753319202Enzo Doria11/2016
13802^1060028+31771319101Enzo Doria04/2024
1381(71^172259-1)/70318895Paul Bourdelais08/2020
13822^1058425+38507318618Enzo Doria11/2024
1383-30*Bern(85996)/236037521318354Sergey Batalov10/2023
1384(13^285707-1)/870834948318253Paul Vanderveen05/2025
13852^1055665+30407317787Enzo Doria03/2024
13862^1054736+483061317508Enzo Doria12/2016
13872^1053965+1879667317276Enzo Doria10/2016
1388(43^194119-1)/42317086Paul Bourdelais08/2020
13892^1052899+225413316955Enzo Doria08/2024
13902^1052186-458165316740Enzo Doria03/2015
139111^303909+2316489Paul Bourdelais08/2023
13922^1049026+214609315789Enzo Doria11/2023
13932^1048576+69661315653Boyan Hu08/2024
13942^1046613-114685315062Enzo Doria04/2015
13952^1045625-459373314765Enzo Doria06/2015
139610^(2*157363+1)-8*10^157363-1314727Robert Price07/2023
1397(7*10^314564-61)/9314564Erik Branger09/2016
13982^1044771+228023314508Enzo Doria11/2024
13992^1044206+7314338Stefano Morozzi10/2022
1400(7^371669-1)/6314096Paul Bourdelais02/2010
1401(53^181981-1)/52313784Paul Bourdelais08/2020
1402(8^347437-5^347437)/3313767Jon Grantham08/2023
1403(10^313741+1)/11/11294677313733Alfred Reich04/2024
14042^1041944+283051313657Enzo Doria12/2016
1405(1624^97969-1)/(1624^313-1)313533Sergey Batalov11/2023
14062^1041153-114391313419Enzo Doria02/2015
1407(2^1039700+9)/5312981Stefano Morozzi09/2022
1408(74^167311+1)/75312742Paul Bourdelais12/2020
14092^1038871+1866983312732Enzo Doria04/2016
14102^1038545+71657312634Enzo Doria08/2023
1411(55^179573-1)/54312521Paul Bourdelais08/2020
14122^1037647+1881263312363Enzo Doria11/2016
14132^1037226+1879699312237Enzo Doria10/2016
14142^1036867+1865843312129Enzo Doria02/2016
1415(76^165947+1)/77312114Paul Bourdelais01/2021
14162^1036324+39091311965Enzo Doria11/2024
14172^1036020-114539311874Enzo Doria02/2015
1418(90^159463-1)/89311628Paul Bourdelais08/2020
14192^1034546+28819311430Enzo Doria02/2024
14202^1032240+1883431310736Enzo Doria01/2017
142164211^64588+64588^64211310514Norbert Schneider11/2023
14222^1031450+29629310498Enzo Doria03/2024
14232^1030352+1870021310167Enzo Doria06/2016
14242^1030046+1882843310075Enzo Doria11/2016
14252^1029120+227971309796Enzo Doria11/2024
14263^648872+16309591Robert Price04/2020
1427(16976^73441-1)/(16976^271-1)309498Ryan Propper11/2023
142864221^64366+64366^64221309451Norbert Schneider06/2023
1429(11121^76729-1)/(11121^277-1)309336Ryan Propper11/2023
14302^1027478+219259309302Enzo Doria02/2024
14312^1026999+20513309158Enzo Doria07/2023
14325^442281+2309142Paul Bourdelais01/2021
14332^1026204+22741308919Enzo Doria09/2023
14342^1026190+15308914Stefano Morozzi10/2022
14352^1025108+20851308589Enzo Doria08/2023
14362^1022860+234121307912Enzo Doria03/2025
1437A352736(16)306985Kellen Shenton05/2022
14382^1019777+213947306984Enzo Doria10/2023
14392^1018820+236731306696Enzo Doria05/2025
1440(11^293831-1)/10305993Paul Bourdelais03/2010
1441(67^167449-1)/66305773Paul Bourdelais08/2020
1442(62^170539+1)/63305671Paul Bourdelais12/2020
14432^1015321-1015321305643Henri Lifchitz08/2013
14442^1014775+27113305478Enzo Doria12/2023
14452^1014450+7305380Stefano Morozzi10/2022
14462^1014404+46171305367Enzo Doria05/2025
14472^1014336+215731305346Enzo Doria12/2023
14482^1014224-2791229305312Enzo Doria01/2016
1449(10^304986+7)/673304984Alfred Reich11/2021
145065473^45250+45250^65473304818Hans Havermann02/2022
145166012^41423+41423^66012304794Hans Havermann03/2022
145265073^48202+48202^65073304742Hans Havermann04/2022
14532^1012054+31669304659Enzo Doria06/2024
1454238176^19+19^238176304569Hans Havermann03/2022
145573122^14615+14615^73122304539Hans Havermann05/2022
145664492^52639+52639^64492304487Hans Havermann03/2022
145765955^41288+41288^65955304437Hans Havermann04/2022
145871729^17530+17530^71729304403Hans Havermann03/2022
145970170^21733+21733^70170304336Hans Havermann03/2022
14602^1010751-107709304267Enzo Doria03/2014
146184473^3994+3994^84473304222Hans Havermann03/2022
1462(2^1010623-1)/12602017578957977304212Tony Prest / Never Odd Or Even02/2014
146374442^12125+12125^74442303998Hans Havermann02/2022
146477842^8039+8039^77842303989Hans Havermann01/2022
146564209^54140+54140^64209303935Hans Havermann02/2022
14662^1009577+1869587303913Enzo Doria06/2016
146767389^32338+32338^67389303906Hans Havermann02/2022
14688^336419-7^336419303817Jean-Louis Charton01/2008
14692^1009168+15303790Stefano Morozzi10/2022
147080766^5771+5771^80766303782Hans Havermann01/2022
147166094^39385+39385^66094303724Hans Havermann01/2022
147269147^24574+24574^69147303589Hans Havermann02/2022
147378390^7459+7459^78390303580Hans Havermann01/2022
14742^1008301+1869377303529Enzo Doria06/2016
147565008^46615+46615^65008303492Hans Havermann02/2022
1476(2^1007838+5)/3303389Serge Batalov08/2015
147765018^46293+46293^65018303343Hans Havermann01/2022
14786^389756+5303290Paul Bourdelais02/2021
147971016^18649+18649^71016303285Hans Havermann01/2022
14802^1007065+29231303157Enzo Doria03/2024
148180160^6047+6047^80160303129Hans Havermann01/2022
148267434^31237+31237^67434303094Hans Havermann03/2022
148365537^42102+42102^65537303063Hans Havermann02/2022
148471790^16553+16553^71790302874Hans Havermann11/2021
148565208^44129+44129^65208302874Hans Havermann11/2021
148684181^3960+3960^84181302858Hans Havermann11/2021
1487(13703^73441-1)/(13703^271-1)302691Ryan Propper11/2023
148871956^16087+16087^71956302682Hans Havermann11/2021
14892^1005326+383059302634Enzo Doria12/2016
14902^1004929+1877567302514Enzo Doria08/2016
149169341^22978+22978^69341302418Hans Havermann12/2021
1492111443^516+516^111443302306Hans Havermann12/2021
149367638^29387+29387^67638302218Hans Havermann11/2021
14942^1003494+1874899302082Enzo Doria06/2016
149575189^10400+10400^75189302037Hans Havermann12/2021
149667237^31042+31042^67237302026Hans Havermann12/2021
149764540^47791+47791^64540302005Hans Havermann11/2021
14982^1003046+60529301947Enzo Doria04/2016
149983278^4209+4209^83278301815Hans Havermann09/2021
150064431^48250+48250^64431301763Hans Havermann09/2021


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: May, 23 2026 10:56 (Time in France)

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