PRP Records

Probable Primes Top 10000

(301157 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 ?
10012^1116184+1883521336005Enzo Doria02/2017
10022^1115727+27683335868Enzo Doria01/2024
10032^1114974+28759335641Enzo Doria02/2024
10042^1114517+1880087335504Enzo Doria10/2016
1005(5*10^335480+31)/9335480Serge Batalov11/2022
10065*3^701688+2^701688334791Jon Grantham08/2023
1007(101^166849+1)/102334418Paul Bourdelais12/2020
1008(3^700897+1)/4334413Paul Bourdelais04/2010
10092^1109200+223201333903Enzo Doria05/2024
10102^1108463+32513333681Enzo Doria05/2024
10112^1104500+22411332488Enzo Doria10/2023
10122^1104408-114539332460Enzo Doria03/2015
10132^1101921+82085331712Enzo Doria10/2016
10142^1101895+29963331704Enzo Doria03/2024
10152^1101167-1101167^2331485Henri Lifchitz07/2024
10162^1101091+224153331462Enzo Doria06/2024
10172^1100655+683513331331Enzo Doria01/2017
1018(10^330906+71)/9330906Serge Batalov07/2015
10192^1098346+482899330636Enzo Doria11/2016
10202^1096976+25330223Henri Lifchitz11/2024
1021(19*10^330041+53)/9330042Rytis Slatkevicius12/2024
1022(2^1096212+19)/5329992Stefano Morozzi09/2022
10232^1095679+1878713329833Enzo Doria09/2016
10242^1094874+27499329590Enzo Doria01/2024
10252^1094740-1851539329550Enzo Doria08/2015
10262^1092242+19328798Stefano Morozzi10/2022
1027(19*10^328590+53)/9328591Rytis Slatkevicius12/2024
10282^1091469-379369328565Enzo Doria03/2014
10292^1090801+24227328364Enzo Doria10/2023
10302^1087944+39091327504Enzo Doria11/2024
1031(69^178093-1)/68327485Paul Bourdelais08/2020
1032(10^326884+7)/421326882Alfred Reich12/2021
10332^1085750+582349326844Enzo Doria11/2016
1034(54308^69169-1)/(54308^263-1)326261Ryan Propper11/2023
10352^1083596+483061326195Enzo Doria12/2016
1036(2^541456-1)*10^162995+2^541455-1325990paolo galliani01/2019
10372^1082908+583561325988Enzo Doria05/2017
103830^220411-29^220411325574Jean-Louis Charton10/2018
10392^1081308+7325507Stefano Morozzi10/2022
10402^1080151+225413325158Enzo Doria08/2024
10412^1080032+25171325123Enzo Doria11/2023
10422^1078242+1881649324584Enzo Doria11/2016
10432^1077737+1880117324432Enzo Doria10/2016
10443^679017-5*2^679017323974Jon Grantham08/2023
10452^1076006+29539323911Enzo Doria03/2024
10462^1075573+32417323780Enzo Doria05/2024
10472^1075425+1880117323736Enzo Doria10/2016
1048(28^223381+1)/29323267Paul Bourdelais12/2020
104910^322999+187071323000Stefano Morozzi03/2019
105010^322999-143151322999Patrick De Geest05/2020
10512^1072744+32641322929Enzo Doria05/2024
10522^1072146+1886869322749Enzo Doria04/2017
10532^1072118-7321953322740Enzo Doria02/2015
10542025^97561-2024^97561322579Henri Lifchitz01/2025
10552^1071026+1886869322411Enzo Doria04/2017
10562^1070539+1880633322265Enzo Doria10/2016
10572^1069788+26587322039Enzo Doria12/2023
10582^1069293-1147195321890Enzo Doria05/2015
10592^1065968+1880941320889Enzo Doria10/2016
10602^1065897-1147195320867Enzo Doria05/2015
10612^1063427+1882103320124Enzo Doria12/2016
10622^1061095-1061095319422Henri Lifchitz10/2013
10632^1060950+653119319378Enzo Doria12/2016
10642^1060363+782753319202Enzo Doria11/2016
10652^1060028+31771319101Enzo Doria04/2024
1066(71^172259-1)/70318895Paul Bourdelais08/2020
10672^1058425+38507318618Enzo Doria11/2024
1068-30*Bern(85996)/236037521318354Sergey Batalov10/2023
10692^1055665+30407317787Enzo Doria03/2024
10702^1054736+483061317508Enzo Doria12/2016
10712^1053965+1879667317276Enzo Doria10/2016
1072(43^194119-1)/42317086Paul Bourdelais08/2020
10732^1052899+225413316955Enzo Doria08/2024
10742^1052186-458165316740Enzo Doria03/2015
107511^303909+2316489Paul Bourdelais08/2023
10762^1049026+214609315789Enzo Doria11/2023
10772^1048576+69661315653Boyan Hu08/2024
10782^1046613-114685315062Enzo Doria04/2015
10792^1045625-459373314765Enzo Doria06/2015
108010^(2*157363+1)-8*10^157363-1314727Robert Price07/2023
1081(7*10^314564-61)/9314564Erik Branger09/2016
10822^1044771+228023314508Enzo Doria11/2024
10832^1044206+7314338Stefano Morozzi10/2022
1084(7^371669-1)/6314096Paul Bourdelais02/2010
1085(53^181981-1)/52313784Paul Bourdelais08/2020
1086(8^347437-5^347437)/3313767Jon Grantham08/2023
1087(10^313741+1)/11/11294677313733Alfred Reich04/2024
10882^1041944+283051313657Enzo Doria12/2016
1089(1624^97969-1)/(1624^313-1)313533Sergey Batalov11/2023
10902^1041153-114391313419Enzo Doria02/2015
1091(2^1039700+9)/5312981Stefano Morozzi09/2022
1092(74^167311+1)/75312742Paul Bourdelais12/2020
10932^1038871+1866983312732Enzo Doria04/2016
10942^1038545+71657312634Enzo Doria08/2023
1095(55^179573-1)/54312521Paul Bourdelais08/2020
10962^1037647+1881263312363Enzo Doria11/2016
10972^1037226+1879699312237Enzo Doria10/2016
10982^1036867+1865843312129Enzo Doria02/2016
1099(76^165947+1)/77312114Paul Bourdelais01/2021
11002^1036324+39091311965Enzo Doria11/2024
11012^1036020-114539311874Enzo Doria02/2015
1102(90^159463-1)/89311628Paul Bourdelais08/2020
11032^1034546+28819311430Enzo Doria02/2024
11042^1032240+1883431310736Enzo Doria01/2017
110564211^64588+64588^64211310514Norbert Schneider11/2023
11062^1031450+29629310498Enzo Doria03/2024
11072^1030352+1870021310167Enzo Doria06/2016
11082^1030046+1882843310075Enzo Doria11/2016
11092^1029120+227971309796Enzo Doria11/2024
11103^648872+16309591Robert Price04/2020
1111(16976^73441-1)/(16976^271-1)309498Ryan Propper11/2023
111264221^64366+64366^64221309451Norbert Schneider06/2023
1113(11121^76729-1)/(11121^277-1)309336Ryan Propper11/2023
11142^1027478+219259309302Enzo Doria02/2024
11152^1026999+20513309158Enzo Doria07/2023
11165^442281+2309142Paul Bourdelais01/2021
11172^1026204+22741308919Enzo Doria09/2023
11182^1026190+15308914Stefano Morozzi10/2022
11192^1025108+20851308589Enzo Doria08/2023
11202^1022860+234121307912Enzo Doria03/2025
1121A352736(16)306985Kellen Shenton05/2022
11222^1019777+213947306984Enzo Doria10/2023
1123(11^293831-1)/10305993Paul Bourdelais03/2010
1124(67^167449-1)/66305773Paul Bourdelais08/2020
1125(62^170539+1)/63305671Paul Bourdelais12/2020
11262^1015321-1015321305643Henri Lifchitz08/2013
11272^1014775+27113305478Enzo Doria12/2023
11282^1014450+7305380Stefano Morozzi10/2022
11292^1014336+215731305346Enzo Doria12/2023
11302^1014224-2791229305312Enzo Doria01/2016
1131(10^304986+7)/673304984Alfred Reich11/2021
113265473^45250+45250^65473304818Hans Havermann02/2022
113366012^41423+41423^66012304794Hans Havermann03/2022
113465073^48202+48202^65073304742Hans Havermann04/2022
11352^1012054+31669304659Enzo Doria06/2024
1136238176^19+19^238176304569Hans Havermann03/2022
113773122^14615+14615^73122304539Hans Havermann05/2022
113864492^52639+52639^64492304487Hans Havermann03/2022
113965955^41288+41288^65955304437Hans Havermann04/2022
114071729^17530+17530^71729304403Hans Havermann03/2022
114170170^21733+21733^70170304336Hans Havermann03/2022
11422^1010751-107709304267Enzo Doria03/2014
114384473^3994+3994^84473304222Hans Havermann03/2022
1144(2^1010623-1)/12602017578957977304212Tony Prest / Never Odd Or Even02/2014
114574442^12125+12125^74442303998Hans Havermann02/2022
114677842^8039+8039^77842303989Hans Havermann01/2022
114764209^54140+54140^64209303935Hans Havermann02/2022
11482^1009577+1869587303913Enzo Doria06/2016
114967389^32338+32338^67389303906Hans Havermann02/2022
11508^336419-7^336419303817Jean-Louis Charton01/2008
11512^1009168+15303790Stefano Morozzi10/2022
115280766^5771+5771^80766303782Hans Havermann01/2022
115366094^39385+39385^66094303724Hans Havermann01/2022
115469147^24574+24574^69147303589Hans Havermann02/2022
115578390^7459+7459^78390303580Hans Havermann01/2022
11562^1008301+1869377303529Enzo Doria06/2016
115765008^46615+46615^65008303492Hans Havermann02/2022
1158(2^1007838+5)/3303389Serge Batalov08/2015
115965018^46293+46293^65018303343Hans Havermann01/2022
11606^389756+5303290Paul Bourdelais02/2021
116171016^18649+18649^71016303285Hans Havermann01/2022
11622^1007065+29231303157Enzo Doria03/2024
116380160^6047+6047^80160303129Hans Havermann01/2022
116467434^31237+31237^67434303094Hans Havermann03/2022
116565537^42102+42102^65537303063Hans Havermann02/2022
116671790^16553+16553^71790302874Hans Havermann11/2021
116765208^44129+44129^65208302874Hans Havermann11/2021
116884181^3960+3960^84181302858Hans Havermann11/2021
1169(13703^73441-1)/(13703^271-1)302691Ryan Propper11/2023
117071956^16087+16087^71956302682Hans Havermann11/2021
11712^1005326+383059302634Enzo Doria12/2016
11722^1004929+1877567302514Enzo Doria08/2016
117369341^22978+22978^69341302418Hans Havermann12/2021
1174111443^516+516^111443302306Hans Havermann12/2021
117567638^29387+29387^67638302218Hans Havermann11/2021
11762^1003494+1874899302082Enzo Doria06/2016
117775189^10400+10400^75189302037Hans Havermann12/2021
117867237^31042+31042^67237302026Hans Havermann12/2021
117964540^47791+47791^64540302005Hans Havermann11/2021
11802^1003046+60529301947Enzo Doria04/2016
118183278^4209+4209^83278301815Hans Havermann09/2021
118264431^48250+48250^64431301763Hans Havermann09/2021
118367237^30714+30714^67237301716Hans Havermann09/2021
118464641^46288+46288^64641301581Hans Havermann09/2021
118571513^16482+16482^71513301572Hans Havermann10/2021
118672017^15396+15396^72017301565Hans Havermann09/2021
118765534^39927+39927^65534301540Hans Havermann10/2021
1188(23^221411-1)/22301501Paul Bourdelais08/2020
118963169^59152+59152^63169301441Hans Havermann09/2021
119075055^10348+10348^75055301336Hans Havermann09/2021
11912^1000647+1881353301225Enzo Doria11/2016
119283686^3961+3961^83686301086Hans Havermann10/2021
119368529^24742+24742^68529301078Hans Havermann09/2021
119465207^41416+41416^65207301072Hans Havermann10/2021
11962^1000000+821751301030Tony Prest / Never Odd Or Even10/2015
11952^999999+77151301030Norman Luhn09/2023
119790762^2071+2071^90762300984Hans Havermann06/2021
119863909^51142+51142^63909300934Hans Havermann08/2021
11992^999646+1874029300924Enzo Doria06/2016
120066280^34607+34607^66280300856Hans Havermann06/2021
120165534^38925+38925^65534300817Hans Havermann07/2021
120263296^56517+56517^63296300794Hans Havermann06/2021
1203110610^523+523^110610300694Hans Havermann06/2021
120466428^33609+33609^66428300684Hans Havermann06/2021
120574247^11210+11210^74247300672Hans Havermann06/2021
1206(59^169777-1)/58300649Paul Bourdelais08/2020
120710^300476+3300477Ed Trice10/2012
120810^300476-530913300476Patrick De Geest03/2016
120966703^31960+31960^66703300471Hans Havermann06/2021
121063722^51915+51915^63722300468Hans Havermann06/2021
12112^998053+1879667300444Enzo Doria09/2016
121277018^7959+7959^77018300437Hans Havermann07/2021
1213314738^9+9^314738300337Anatoly F. Selevich02/2011
12142^997689+217787300335Enzo Doria01/2024
121569478^20987+20987^69478300281Hans Havermann07/2021
121664088^48393+48393^64088300239Hans Havermann07/2021
121764605^44146+44146^64605300084Hans Havermann08/2021
12182^996845+29027300081Enzo Doria02/2024
12197^355039-6^355039300043Jean-Louis Charton05/2011
122067594^27465+27465^67594300035Hans Havermann06/2021
122110^300000+287389300001Patrick De Geest10/2019
122210^300000-83657300000Patrick De Geest10/2019
122370599^17756+17756^70599300000Hans Havermann06/2021
1224numbpart(72526161452)299999Serge Batalov04/2017
12252^996182-114431299881Enzo Doria02/2015
12263*2^996126+5299865Jon Grantham07/2023
12272^996034-17299837Stefano Morozzi07/2022
12282^995793+36587299764Enzo Doria09/2024
1229(19*10^299640+77)/3299641Robert Price03/2023
12302^995214-2788361299590Enzo Doria12/2015
12312^994791-114319299462Enzo Doria01/2015
12322^994490-1863791299372Enzo Doria01/2016
12332^993322+1885729299020Enzo Doria03/2017
12342^993227+230033298992Enzo Doria12/2024
1235(36395^65536+36393^65536)/2298913Kellen Shenton04/2022
12362^992711-2788807298836Enzo Doria12/2015
12372^992525-114199298780Enzo Doria12/2014
1238(7^353501-3^353501)/4298743Jon Grantham08/2023
12392^992329+1884707298721Enzo Doria02/2017
12402^992292+229801298710Enzo Doria12/2024
12412^992052+215491298638Enzo Doria11/2023
12422^991968-23298613Stefano Morozzi07/2022
12432^991715-19298536Stefano Morozzi07/2022
1244(10^298414+7)/191/823/56921/1334467298398Alfred Reich10/2021
12452^989562+25297888Stefano Morozzi05/2021
12462^988580+214051297593Enzo Doria10/2023
12472^988537+218837297580Enzo Doria03/2024
1248(19*10^297497+77)/3297498Robert Price03/2023
1249(2*10^297488-23)/3297488Robert Price10/2022
1250(2^986191+1)/3296873Vincent Diepeveen06/2008


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: April, 01 2025 12:28 (Time in France)

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