PRP Records

Probable Primes Top 10000

(295158 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 ?
7512^1136462+1887289342110Enzo Doria05/2017
752F(1636007)341905Henri Lifchitz03/2009
753(2^1135567+13)/3341840Stefano Morozzi09/2022
7542^1133678+782569341272Enzo Doria11/2016
755(11^327001+1)/12340536Paul Bourdelais09/2013
7562^1129361+221597339972Enzo Doria04/2024
7572^1128621+25919339749Enzo Doria12/2023
758(2^1127239+2^563620+1)/5339333Borys Jaworski11/2006
759Tau(907^20848)339132Nik Lygeros / Olivier Rozier01/2016
7602^1126380-3339075Paul Bourdelais06/2019
7612^1125784+24331338895Enzo Doria10/2023
7622^1125446+1885099338794Enzo Doria08/2017
763(63^188147+1)/64338539Paul Bourdelais12/2020
7642^1124549+143807338523Enzo Doria10/2016
765(4*10^338476+23)/9338476Serge Batalov11/2022
7662^1121187+1886783337511Enzo Doria04/2017
767(48^200443-1)/47336992Paul Bourdelais08/2020
768(2*10^336405+43)/9336405Rytis Slatkevicius01/2023
769(94^170371-1)/93336162Paul Bourdelais09/2020
7702^1116184+1883521336005Enzo Doria02/2017
7712^1115727+27683335868Enzo Doria01/2024
7722^1114974+28759335641Enzo Doria02/2024
7732^1114517+1880087335504Enzo Doria10/2016
774(5*10^335480+31)/9335480Serge Batalov11/2022
7755*3^701688+2^701688334791Jon Grantham08/2023
776(101^166849+1)/102334418Paul Bourdelais12/2020
777(3^700897+1)/4334413Paul Bourdelais04/2010
7782^1109200+223201333903Enzo Doria05/2024
7792^1108463+32513333681Enzo Doria05/2024
7802^1104500+22411332488Enzo Doria10/2023
7812^1104408-114539332460Enzo Doria03/2015
7822^1101921+82085331712Enzo Doria10/2016
7832^1101895+29963331704Enzo Doria03/2024
7842^1100655+683513331331Enzo Doria01/2017
785(10^330906+71)/9330906Serge Batalov07/2015
7862^1098346+482899330636Enzo Doria11/2016
787(2^1096212+19)/5329992Stefano Morozzi09/2022
7882^1095679+1878713329833Enzo Doria09/2016
7892^1094874+27499329590Enzo Doria01/2024
7902^1094740-1851539329550Enzo Doria08/2015
7912^1092242+19328798Stefano Morozzi10/2022
7922^1091469-379369328565Enzo Doria03/2014
7932^1090801+24227328364Enzo Doria10/2023
794(69^178093-1)/68327485Paul Bourdelais08/2020
795(10^326884+7)/421326882Alfred Reich12/2021
7962^1085750+582349326844Enzo Doria11/2016
797(54308^69169-1)/(54308^263-1)326261Ryan Propper11/2023
7982^1083596+483061326195Enzo Doria12/2016
799(2^541456-1)*10^162995+2^541455-1325990paolo galliani01/2019
8002^1082908+583561325988Enzo Doria05/2017
80130^220411-29^220411325574Jean-Louis Charton10/2018
8022^1081308+7325507Stefano Morozzi10/2022
8032^1080032+25171325123Enzo Doria11/2023
8042^1078242+1881649324584Enzo Doria11/2016
8052^1077737+1880117324432Enzo Doria10/2016
8063^679017-5*2^679017323974Jon Grantham08/2023
8072^1076006+29539323911Enzo Doria03/2024
8082^1075573+32417323780Enzo Doria05/2024
8092^1075425+1880117323736Enzo Doria10/2016
810(28^223381+1)/29323267Paul Bourdelais12/2020
81110^322999+187071323000Stefano Morozzi03/2019
81210^322999-143151322999Patrick De Geest05/2020
8132^1072744+32641322929Enzo Doria05/2024
8142^1072146+1886869322749Enzo Doria04/2017
8152^1072118-7321953322740Enzo Doria02/2015
8162^1071026+1886869322411Enzo Doria04/2017
8172^1070539+1880633322265Enzo Doria10/2016
8182^1069788+26587322039Enzo Doria12/2023
8192^1069293-1147195321890Enzo Doria05/2015
8202^1065968+1880941320889Enzo Doria10/2016
8212^1065897-1147195320867Enzo Doria05/2015
8222^1063427+1882103320124Enzo Doria12/2016
8232^1061095-1061095319422Henri Lifchitz10/2013
8242^1060950+653119319378Enzo Doria12/2016
8252^1060363+782753319202Enzo Doria11/2016
8262^1060028+31771319101Enzo Doria04/2024
827(71^172259-1)/70318895Paul Bourdelais08/2020
828-30*Bern(85996)/236037521318354Sergey Batalov10/2023
8292^1055665+30407317787Enzo Doria03/2024
8302^1054736+483061317508Enzo Doria12/2016
8312^1053965+1879667317276Enzo Doria10/2016
832(43^194119-1)/42317086Paul Bourdelais08/2020
8332^1052186-458165316740Enzo Doria03/2015
83411^303909+2316489Paul Bourdelais08/2023
8352^1049026+214609315789Enzo Doria11/2023
8362^1046613-114685315062Enzo Doria04/2015
8372^1045625-459373314765Enzo Doria06/2015
83810^(2*157363+1)-8*10^157363-1314727Robert Price07/2023
839(7*10^314564-61)/9314564Erik Branger09/2016
8402^1044206+7314338Stefano Morozzi10/2022
841(7^371669-1)/6314096Paul Bourdelais02/2010
842(53^181981-1)/52313784Paul Bourdelais08/2020
843(8^347437-5^347437)/3313767Jon Grantham08/2023
844(10^313741+1)/11/11294677313733Alfred Reich04/2024
8452^1041944+283051313657Enzo Doria12/2016
846(1624^97969-1)/(1624^313-1)313533Sergey Batalov11/2023
8472^1041153-114391313419Enzo Doria02/2015
848(2^1039700+9)/5312981Stefano Morozzi09/2022
849(74^167311+1)/75312742Paul Bourdelais12/2020
8502^1038871+1866983312732Enzo Doria04/2016
8512^1038545+71657312634Enzo Doria08/2023
852(55^179573-1)/54312521Paul Bourdelais08/2020
8532^1037647+1881263312363Enzo Doria11/2016
8542^1037226+1879699312237Enzo Doria10/2016
8552^1036867+1865843312129Enzo Doria02/2016
856(76^165947+1)/77312114Paul Bourdelais01/2021
8572^1036020-114539311874Enzo Doria02/2015
858(90^159463-1)/89311628Paul Bourdelais08/2020
8592^1034546+28819311430Enzo Doria02/2024
8602^1032240+1883431310736Enzo Doria01/2017
86164211^64588+64588^64211310514Norbert Schneider11/2023
8622^1031450+29629310498Enzo Doria03/2024
8632^1030352+1870021310167Enzo Doria06/2016
8642^1030046+1882843310075Enzo Doria11/2016
8653^648872+16309591Robert Price04/2020
866(16976^73441-1)/(16976^271-1)309498Ryan Propper11/2023
86764221^64366+64366^64221309451Norbert Schneider06/2023
868(11121^76729-1)/(11121^277-1)309336Ryan Propper11/2023
8692^1027478+219259309302Enzo Doria02/2024
8702^1026999+20513309158Enzo Doria07/2023
8715^442281+2309142Paul Bourdelais01/2021
8722^1026204+22741308919Enzo Doria09/2023
8732^1026190+15308914Stefano Morozzi10/2022
8742^1025108+20851308589Enzo Doria08/2023
875A352736(16)306985Kellen Shenton05/2022
8762^1019777+213947306984Enzo Doria10/2023
877(11^293831-1)/10305993Paul Bourdelais03/2010
878(67^167449-1)/66305773Paul Bourdelais08/2020
879(62^170539+1)/63305671Paul Bourdelais12/2020
8802^1015321-1015321305643Henri Lifchitz08/2013
8812^1014775+27113305478Enzo Doria12/2023
8822^1014450+7305380Stefano Morozzi10/2022
8832^1014336+215731305346Enzo Doria12/2023
8842^1014224-2791229305312Enzo Doria01/2016
885(10^304986+7)/673304984Alfred Reich11/2021
88665473^45250+45250^65473304818Hans Havermann02/2022
88766012^41423+41423^66012304794Hans Havermann03/2022
88865073^48202+48202^65073304742Hans Havermann04/2022
889238176^19+19^238176304569Hans Havermann03/2022
89073122^14615+14615^73122304539Hans Havermann05/2022
89164492^52639+52639^64492304487Hans Havermann03/2022
89265955^41288+41288^65955304437Hans Havermann04/2022
89371729^17530+17530^71729304403Hans Havermann03/2022
89470170^21733+21733^70170304336Hans Havermann03/2022
8952^1010751-107709304267Enzo Doria03/2014
89684473^3994+3994^84473304222Hans Havermann03/2022
897(2^1010623-1)/12602017578957977304212Tony Prest / Never Odd Or Even02/2014
89874442^12125+12125^74442303998Hans Havermann02/2022
89977842^8039+8039^77842303989Hans Havermann01/2022
90064209^54140+54140^64209303935Hans Havermann02/2022
9012^1009577+1869587303913Enzo Doria06/2016
90267389^32338+32338^67389303906Hans Havermann02/2022
9038^336419-7^336419303817Jean-Louis Charton01/2008
9042^1009168+15303790Stefano Morozzi10/2022
90580766^5771+5771^80766303782Hans Havermann01/2022
90666094^39385+39385^66094303724Hans Havermann01/2022
90769147^24574+24574^69147303589Hans Havermann02/2022
90878390^7459+7459^78390303580Hans Havermann01/2022
9092^1008301+1869377303529Enzo Doria06/2016
91065008^46615+46615^65008303492Hans Havermann02/2022
911(2^1007838+5)/3303389Serge Batalov08/2015
91265018^46293+46293^65018303343Hans Havermann01/2022
9136^389756+5303290Paul Bourdelais02/2021
91471016^18649+18649^71016303285Hans Havermann01/2022
9152^1007065+29231303157Enzo Doria03/2024
91680160^6047+6047^80160303129Hans Havermann01/2022
91767434^31237+31237^67434303094Hans Havermann03/2022
91865537^42102+42102^65537303063Hans Havermann02/2022
91971790^16553+16553^71790302874Hans Havermann11/2021
92065208^44129+44129^65208302874Hans Havermann11/2021
92184181^3960+3960^84181302858Hans Havermann11/2021
922(13703^73441-1)/(13703^271-1)302691Ryan Propper11/2023
92371956^16087+16087^71956302682Hans Havermann11/2021
9242^1005326+383059302634Enzo Doria12/2016
9252^1004929+1877567302514Enzo Doria08/2016
92669341^22978+22978^69341302418Hans Havermann12/2021
927111443^516+516^111443302306Hans Havermann12/2021
92867638^29387+29387^67638302218Hans Havermann11/2021
9292^1003494+1874899302082Enzo Doria06/2016
93075189^10400+10400^75189302037Hans Havermann12/2021
93167237^31042+31042^67237302026Hans Havermann12/2021
93264540^47791+47791^64540302005Hans Havermann11/2021
9332^1003046+60529301947Enzo Doria04/2016
93483278^4209+4209^83278301815Hans Havermann09/2021
93564431^48250+48250^64431301763Hans Havermann09/2021
93667237^30714+30714^67237301716Hans Havermann09/2021
93764641^46288+46288^64641301581Hans Havermann09/2021
93871513^16482+16482^71513301572Hans Havermann10/2021
93972017^15396+15396^72017301565Hans Havermann09/2021
94065534^39927+39927^65534301540Hans Havermann10/2021
941(23^221411-1)/22301501Paul Bourdelais08/2020
94263169^59152+59152^63169301441Hans Havermann09/2021
94375055^10348+10348^75055301336Hans Havermann09/2021
9442^1000647+1881353301225Enzo Doria11/2016
94583686^3961+3961^83686301086Hans Havermann10/2021
94668529^24742+24742^68529301078Hans Havermann09/2021
94765207^41416+41416^65207301072Hans Havermann10/2021
9492^1000000+821751301030Tony Prest / Never Odd Or Even10/2015
9482^999999+77151301030Norman Luhn09/2023
95090762^2071+2071^90762300984Hans Havermann06/2021
95163909^51142+51142^63909300934Hans Havermann08/2021
9522^999646+1874029300924Enzo Doria06/2016
95366280^34607+34607^66280300856Hans Havermann06/2021
95465534^38925+38925^65534300817Hans Havermann07/2021
95563296^56517+56517^63296300794Hans Havermann06/2021
956110610^523+523^110610300694Hans Havermann06/2021
95766428^33609+33609^66428300684Hans Havermann06/2021
95874247^11210+11210^74247300672Hans Havermann06/2021
959(59^169777-1)/58300649Paul Bourdelais08/2020
96010^300476+3300477Ed Trice10/2012
96110^300476-530913300476Patrick De Geest03/2016
96266703^31960+31960^66703300471Hans Havermann06/2021
96363722^51915+51915^63722300468Hans Havermann06/2021
9642^998053+1879667300444Enzo Doria09/2016
96577018^7959+7959^77018300437Hans Havermann07/2021
966314738^9+9^314738300337Anatoly F. Selevich02/2011
9672^997689+217787300335Enzo Doria01/2024
96869478^20987+20987^69478300281Hans Havermann07/2021
96964088^48393+48393^64088300239Hans Havermann07/2021
97064605^44146+44146^64605300084Hans Havermann08/2021
9712^996845+29027300081Enzo Doria02/2024
9727^355039-6^355039300043Jean-Louis Charton05/2011
97367594^27465+27465^67594300035Hans Havermann06/2021
97410^300000+287389300001Patrick De Geest10/2019
97510^300000-83657300000Patrick De Geest10/2019
97670599^17756+17756^70599300000Hans Havermann06/2021
977numbpart(72526161452)299999Serge Batalov04/2017
9782^996182-114431299881Enzo Doria02/2015
9793*2^996126+5299865Jon Grantham07/2023
9802^996034-17299837Stefano Morozzi07/2022
981(19*10^299640+77)/3299641Robert Price03/2023
9822^995214-2788361299590Enzo Doria12/2015
9832^994791-114319299462Enzo Doria01/2015
9842^994490-1863791299372Enzo Doria01/2016
9852^993322+1885729299020Enzo Doria03/2017
986(36395^65536+36393^65536)/2298913Kellen Shenton04/2022
9872^992711-2788807298836Enzo Doria12/2015
9882^992525-114199298780Enzo Doria12/2014
989(7^353501-3^353501)/4298743Jon Grantham08/2023
9902^992329+1884707298721Enzo Doria02/2017
9912^992052+215491298638Enzo Doria11/2023
9922^991968-23298613Stefano Morozzi07/2022
9932^991715-19298536Stefano Morozzi07/2022
994(10^298414+7)/191/823/56921/1334467298398Alfred Reich10/2021
9952^989562+25297888Stefano Morozzi05/2021
9962^988580+214051297593Enzo Doria10/2023
9972^988537+218837297580Enzo Doria03/2024
998(19*10^297497+77)/3297498Robert Price03/2023
999(2*10^297488-23)/3297488Robert Price10/2022
1000(2^986191+1)/3296873Vincent Diepeveen06/2008


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: May, 27 2024 13:30 (Time in France)

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