PRP Records

Probable Primes Top 10000

(302575 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 ?
1251(5*10^335480+31)/9335480Serge Batalov11/2022
12525*3^701688+2^701688334791Jon Grantham08/2023
1253(101^166849+1)/102334418Paul Bourdelais12/2020
1254(3^700897+1)/4334413Paul Bourdelais04/2010
12552^1109520+48331333999Enzo Doria07/2025
12562^1109200+223201333903Enzo Doria05/2024
12572^1108463+32513333681Enzo Doria05/2024
12582^1107871+240233333503Enzo Doria08/2025
12592^1104500+22411332488Enzo Doria10/2023
12602^1104408-114539332460Enzo Doria03/2015
1261(3^695701-1)/80701318331926Paul Vanderveen05/2025
12622^1101921+82085331712Enzo Doria10/2016
12632^1101895+29963331704Enzo Doria03/2024
12642^1101167-1101167^2331485Henri Lifchitz07/2024
12652^1101091+224153331462Enzo Doria06/2024
12662^1100655+683513331331Enzo Doria01/2017
12672^1100590+50809331311Enzo Doria09/2025
12682^1100373+48527331246Enzo Doria07/2025
1269(10^330906+71)/9330906Serge Batalov07/2015
12706^425185-425185^6330859Henri Lifchitz06/2025
12712^1098346+482899330636Enzo Doria11/2016
12722^1096976+25330223Henri Lifchitz11/2024
1273(19*10^330041+53)/9330042Rytis Slatkevicius12/2024
1274(2^1096212+19)/5329992Stefano Morozzi09/2022
12752^1095976+44701329922Enzo Doria05/2025
12762^1095820+239581329875Enzo Doria08/2025
12772^1095679+1878713329833Enzo Doria09/2016
12782^1094874+27499329590Enzo Doria01/2024
12792^1094740-1851539329550Enzo Doria08/2015
12802^1092242+19328798Stefano Morozzi10/2022
1281(19*10^328590+53)/9328591Rytis Slatkevicius12/2024
12822^1091469-379369328565Enzo Doria03/2014
12832^1090801+24227328364Enzo Doria10/2023
12842^1088416+237661327646Enzo Doria06/2025
12852^1087944+39091327504Enzo Doria11/2024
1286(69^178093-1)/68327485Paul Bourdelais08/2020
12872^1086662+43909327118Enzo Doria04/2025
1288(10^326884+7)/421326882Alfred Reich12/2021
12892^1085876+48151326882Enzo Doria06/2025
12902^1085750+582349326844Enzo Doria11/2016
1291(54308^69169-1)/(54308^263-1)326261Ryan Propper11/2023
12922^1083596+483061326195Enzo Doria12/2016
1293(2^541456-1)*10^162995+2^541455-1325990paolo galliani01/2019
12942^1082908+583561325988Enzo Doria05/2017
129530^220411-29^220411325574Jean-Louis Charton10/2018
12962^1081308+7325507Stefano Morozzi10/2022
12972^1080151+225413325158Enzo Doria08/2024
12982^1080032+25171325123Enzo Doria11/2023
12992^1078242+1881649324584Enzo Doria11/2016
13002^1077737+1880117324432Enzo Doria10/2016
13012^1076996+45631324209Enzo Doria05/2025
13023^679017-5*2^679017323974Jon Grantham08/2023
13032^1076006+29539323911Enzo Doria03/2024
13042^1075573+32417323780Enzo Doria05/2024
13052^1075425+1880117323736Enzo Doria10/2016
1306(28^223381+1)/29323267Paul Bourdelais12/2020
130710^322999+187071323000Stefano Morozzi03/2019
130810^322999-143151322999Patrick De Geest05/2020
13092^1072744+32641322929Enzo Doria05/2024
13102^1072146+1886869322749Enzo Doria04/2017
13112^1072118-7321953322740Enzo Doria02/2015
13122025^97561-2024^97561322579Henri Lifchitz01/2025
13132^1071026+1886869322411Enzo Doria04/2017
13142^1070539+1880633322265Enzo Doria10/2016
13152^1069894+235399322071Enzo Doria05/2025
13162^1069788+26587322039Enzo Doria12/2023
13172^1069293-1147195321890Enzo Doria05/2015
13182^1065968+1880941320889Enzo Doria10/2016
13192^1065897-1147195320867Enzo Doria05/2015
13202^1063427+1882103320124Enzo Doria12/2016
13212^1061095-1061095319422Henri Lifchitz10/2013
13222^1060950+653119319378Enzo Doria12/2016
13232^1060363+782753319202Enzo Doria11/2016
13242^1060028+31771319101Enzo Doria04/2024
1325(71^172259-1)/70318895Paul Bourdelais08/2020
13262^1058425+38507318618Enzo Doria11/2024
1327-30*Bern(85996)/236037521318354Sergey Batalov10/2023
1328(13^285707-1)/870834948318253Paul Vanderveen05/2025
13292^1055665+30407317787Enzo Doria03/2024
13302^1054736+483061317508Enzo Doria12/2016
13312^1053965+1879667317276Enzo Doria10/2016
1332(43^194119-1)/42317086Paul Bourdelais08/2020
13332^1052899+225413316955Enzo Doria08/2024
13342^1052186-458165316740Enzo Doria03/2015
133511^303909+2316489Paul Bourdelais08/2023
13362^1049026+214609315789Enzo Doria11/2023
13372^1048576+69661315653Boyan Hu08/2024
13382^1046613-114685315062Enzo Doria04/2015
13392^1045625-459373314765Enzo Doria06/2015
134010^(2*157363+1)-8*10^157363-1314727Robert Price07/2023
1341(7*10^314564-61)/9314564Erik Branger09/2016
13422^1044771+228023314508Enzo Doria11/2024
13432^1044206+7314338Stefano Morozzi10/2022
1344(7^371669-1)/6314096Paul Bourdelais02/2010
1345(53^181981-1)/52313784Paul Bourdelais08/2020
1346(8^347437-5^347437)/3313767Jon Grantham08/2023
1347(10^313741+1)/11/11294677313733Alfred Reich04/2024
13482^1041944+283051313657Enzo Doria12/2016
1349(1624^97969-1)/(1624^313-1)313533Sergey Batalov11/2023
13502^1041153-114391313419Enzo Doria02/2015
1351(2^1039700+9)/5312981Stefano Morozzi09/2022
1352(74^167311+1)/75312742Paul Bourdelais12/2020
13532^1038871+1866983312732Enzo Doria04/2016
13542^1038545+71657312634Enzo Doria08/2023
1355(55^179573-1)/54312521Paul Bourdelais08/2020
13562^1037647+1881263312363Enzo Doria11/2016
13572^1037226+1879699312237Enzo Doria10/2016
13582^1036867+1865843312129Enzo Doria02/2016
1359(76^165947+1)/77312114Paul Bourdelais01/2021
13602^1036324+39091311965Enzo Doria11/2024
13612^1036020-114539311874Enzo Doria02/2015
1362(90^159463-1)/89311628Paul Bourdelais08/2020
13632^1034546+28819311430Enzo Doria02/2024
13642^1032240+1883431310736Enzo Doria01/2017
136564211^64588+64588^64211310514Norbert Schneider11/2023
13662^1031450+29629310498Enzo Doria03/2024
13672^1030352+1870021310167Enzo Doria06/2016
13682^1030046+1882843310075Enzo Doria11/2016
13692^1029120+227971309796Enzo Doria11/2024
13703^648872+16309591Robert Price04/2020
1371(16976^73441-1)/(16976^271-1)309498Ryan Propper11/2023
137264221^64366+64366^64221309451Norbert Schneider06/2023
1373(11121^76729-1)/(11121^277-1)309336Ryan Propper11/2023
13742^1027478+219259309302Enzo Doria02/2024
13752^1026999+20513309158Enzo Doria07/2023
13765^442281+2309142Paul Bourdelais01/2021
13772^1026204+22741308919Enzo Doria09/2023
13782^1026190+15308914Stefano Morozzi10/2022
13792^1025108+20851308589Enzo Doria08/2023
13802^1022860+234121307912Enzo Doria03/2025
1381A352736(16)306985Kellen Shenton05/2022
13822^1019777+213947306984Enzo Doria10/2023
13832^1018820+236731306696Enzo Doria05/2025
1384(11^293831-1)/10305993Paul Bourdelais03/2010
1385(67^167449-1)/66305773Paul Bourdelais08/2020
1386(62^170539+1)/63305671Paul Bourdelais12/2020
13872^1015321-1015321305643Henri Lifchitz08/2013
13882^1014775+27113305478Enzo Doria12/2023
13892^1014450+7305380Stefano Morozzi10/2022
13902^1014404+46171305367Enzo Doria05/2025
13912^1014336+215731305346Enzo Doria12/2023
13922^1014224-2791229305312Enzo Doria01/2016
1393(10^304986+7)/673304984Alfred Reich11/2021
139465473^45250+45250^65473304818Hans Havermann02/2022
139566012^41423+41423^66012304794Hans Havermann03/2022
139665073^48202+48202^65073304742Hans Havermann04/2022
13972^1012054+31669304659Enzo Doria06/2024
1398238176^19+19^238176304569Hans Havermann03/2022
139973122^14615+14615^73122304539Hans Havermann05/2022
140064492^52639+52639^64492304487Hans Havermann03/2022
140165955^41288+41288^65955304437Hans Havermann04/2022
140271729^17530+17530^71729304403Hans Havermann03/2022
140370170^21733+21733^70170304336Hans Havermann03/2022
14042^1010751-107709304267Enzo Doria03/2014
140584473^3994+3994^84473304222Hans Havermann03/2022
1406(2^1010623-1)/12602017578957977304212Tony Prest / Never Odd Or Even02/2014
140774442^12125+12125^74442303998Hans Havermann02/2022
140877842^8039+8039^77842303989Hans Havermann01/2022
140964209^54140+54140^64209303935Hans Havermann02/2022
14102^1009577+1869587303913Enzo Doria06/2016
141167389^32338+32338^67389303906Hans Havermann02/2022
14128^336419-7^336419303817Jean-Louis Charton01/2008
14132^1009168+15303790Stefano Morozzi10/2022
141480766^5771+5771^80766303782Hans Havermann01/2022
141566094^39385+39385^66094303724Hans Havermann01/2022
141669147^24574+24574^69147303589Hans Havermann02/2022
141778390^7459+7459^78390303580Hans Havermann01/2022
14182^1008301+1869377303529Enzo Doria06/2016
141965008^46615+46615^65008303492Hans Havermann02/2022
1420(2^1007838+5)/3303389Serge Batalov08/2015
142165018^46293+46293^65018303343Hans Havermann01/2022
14226^389756+5303290Paul Bourdelais02/2021
142371016^18649+18649^71016303285Hans Havermann01/2022
14242^1007065+29231303157Enzo Doria03/2024
142580160^6047+6047^80160303129Hans Havermann01/2022
142667434^31237+31237^67434303094Hans Havermann03/2022
142765537^42102+42102^65537303063Hans Havermann02/2022
142871790^16553+16553^71790302874Hans Havermann11/2021
142965208^44129+44129^65208302874Hans Havermann11/2021
143084181^3960+3960^84181302858Hans Havermann11/2021
1431(13703^73441-1)/(13703^271-1)302691Ryan Propper11/2023
143271956^16087+16087^71956302682Hans Havermann11/2021
14332^1005326+383059302634Enzo Doria12/2016
14342^1004929+1877567302514Enzo Doria08/2016
143569341^22978+22978^69341302418Hans Havermann12/2021
1436111443^516+516^111443302306Hans Havermann12/2021
143767638^29387+29387^67638302218Hans Havermann11/2021
14382^1003494+1874899302082Enzo Doria06/2016
143975189^10400+10400^75189302037Hans Havermann12/2021
144067237^31042+31042^67237302026Hans Havermann12/2021
144164540^47791+47791^64540302005Hans Havermann11/2021
14422^1003046+60529301947Enzo Doria04/2016
144383278^4209+4209^83278301815Hans Havermann09/2021
144464431^48250+48250^64431301763Hans Havermann09/2021
144567237^30714+30714^67237301716Hans Havermann09/2021
14462^1002144+235861301676Enzo Doria05/2025
144764641^46288+46288^64641301581Hans Havermann09/2021
144871513^16482+16482^71513301572Hans Havermann10/2021
144972017^15396+15396^72017301565Hans Havermann09/2021
145065534^39927+39927^65534301540Hans Havermann10/2021
1451(23^221411-1)/22301501Paul Bourdelais08/2020
145263169^59152+59152^63169301441Hans Havermann09/2021
145375055^10348+10348^75055301336Hans Havermann09/2021
14542^1000647+1881353301225Enzo Doria11/2016
145583686^3961+3961^83686301086Hans Havermann10/2021
145668529^24742+24742^68529301078Hans Havermann09/2021
145765207^41416+41416^65207301072Hans Havermann10/2021
14592^1000000+821751301030Tony Prest / Never Odd Or Even10/2015
14582^999999+77151301030Norman Luhn09/2023
146090762^2071+2071^90762300984Hans Havermann06/2021
146163909^51142+51142^63909300934Hans Havermann08/2021
14622^999646+1874029300924Enzo Doria06/2016
146366280^34607+34607^66280300856Hans Havermann06/2021
146465534^38925+38925^65534300817Hans Havermann07/2021
146563296^56517+56517^63296300794Hans Havermann06/2021
1466110610^523+523^110610300694Hans Havermann06/2021
146766428^33609+33609^66428300684Hans Havermann06/2021
146874247^11210+11210^74247300672Hans Havermann06/2021
1469(59^169777-1)/58300649Paul Bourdelais08/2020
147010^300476+3300477Ed Trice10/2012
147110^300476-530913300476Patrick De Geest03/2016
147266703^31960+31960^66703300471Hans Havermann06/2021
147363722^51915+51915^63722300468Hans Havermann06/2021
14742^998053+1879667300444Enzo Doria09/2016
147577018^7959+7959^77018300437Hans Havermann07/2021
1476314738^9+9^314738300337Anatoly F. Selevich02/2011
14772^997689+217787300335Enzo Doria01/2024
147869478^20987+20987^69478300281Hans Havermann07/2021
147964088^48393+48393^64088300239Hans Havermann07/2021
14802^997369+237917300238Enzo Doria06/2025
148164605^44146+44146^64605300084Hans Havermann08/2021
14822^996845+29027300081Enzo Doria02/2024
14837^355039-6^355039300043Jean-Louis Charton05/2011
148467594^27465+27465^67594300035Hans Havermann06/2021
148510^300000+287389300001Patrick De Geest10/2019
148610^300000-83657300000Patrick De Geest10/2019
148770599^17756+17756^70599300000Hans Havermann06/2021
1488numbpart(72526161452)299999Serge Batalov04/2017
14892^996182-114431299881Enzo Doria02/2015
14903*2^996126+5299865Jon Grantham07/2023
14912^996034-17299837Stefano Morozzi07/2022
14922^995793+36587299764Enzo Doria09/2024
1493(19*10^299640+77)/3299641Robert Price03/2023
14942^995214-2788361299590Enzo Doria12/2015
14952^994791-114319299462Enzo Doria01/2015
14962^994490-1863791299372Enzo Doria01/2016
14972^993322+1885729299020Enzo Doria03/2017
14982^993227+230033298992Enzo Doria12/2024
1499(36395^65536+36393^65536)/2298913Kellen Shenton04/2022
15002^992711-2788807298836Enzo Doria12/2015


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: February, 15 2026 14:19 (Time in France)

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