PRP Records

Probable Primes Top 10000

(301678 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 ?
82512^346449+170595104292Stefano Morozzi11/2024
82522^346450+70143104292Stefano Morozzi11/2024
8253(7^123407-5^123407)/2104291Jon Grantham08/2023
82542^346445+194585104291Stefano Morozzi11/2024
82552^346447+13715104291Stefano Morozzi11/2024
82562^346447+188493104291Stefano Morozzi11/2024
82572^346441+43529104290Stefano Morozzi11/2024
82582^346441+105707104290Stefano Morozzi11/2024
82592^346443+97995104290Stefano Morozzi11/2024
82602^346438+125667104289Stefano Morozzi11/2024
82612^346438+173595104289Stefano Morozzi11/2024
82622^346434+155605104288Stefano Morozzi11/2024
82632^346435+110823104288Stefano Morozzi11/2024
82642^346435+139281104288Stefano Morozzi11/2024
82652^346431+2543104287Stefano Morozzi11/2024
82662^346432+177181104287Stefano Morozzi11/2024
82672^346433+35699104287Stefano Morozzi11/2024
82682^346433+108015104287Stefano Morozzi11/2024
82692^346429+100365104286Stefano Morozzi11/2024
82702^346424+104841104285Stefano Morozzi11/2024
82712^346425+136095104285Stefano Morozzi11/2024
82722^346425+184971104285Stefano Morozzi11/2024
82732^346426+74325104285Stefano Morozzi11/2024
82742^346427+30795104285Stefano Morozzi11/2024
82752^346421+42971104284Stefano Morozzi11/2024
82762^346421+82577104284Stefano Morozzi11/2024
82772^346423+142533104284Stefano Morozzi11/2024
82786^134013+163104283Lelio R Paula11/2016
82792^346414+165775104282Stefano Morozzi11/2024
828010^(2*52140+1)-10^52140-1104281Robert Price07/2023
82812^346411+106893104281Stefano Morozzi11/2024
82822^346412+157935104281Stefano Morozzi11/2024
82832^346413+117485104281Stefano Morozzi11/2024
82842^346408+8085104280Stefano Morozzi11/2024
82852^346408+24423104280Stefano Morozzi11/2024
82862^346409+145047104280Stefano Morozzi11/2024
82872^346410+172533104280Stefano Morozzi11/2024
82882^346406+58417104279Stefano Morozzi11/2024
82892^346406+198315104279Stefano Morozzi11/2024
82902^346407+172509104279Stefano Morozzi11/2024
82912^346401+180129104278Stefano Morozzi11/2024
82922^346402+16897104278Stefano Morozzi11/2024
82932^346402+114829104278Stefano Morozzi11/2024
82942^346398+91623104277Stefano Morozzi11/2024
82952^346398+117369104277Stefano Morozzi11/2024
82962^346400+100141104277Stefano Morozzi11/2024
82972^346400+183625104277Stefano Morozzi11/2024
82982^346395+87281104276Stefano Morozzi11/2024
82992^346391+28833104275Stefano Morozzi11/2024
83002^346392+33715104275Stefano Morozzi11/2024
83012^346392+37507104275Stefano Morozzi11/2024
83022^346392+197617104275Stefano Morozzi11/2024
83032^346393+45929104275Stefano Morozzi11/2024
83042^346388+27223104274Stefano Morozzi11/2024
83052^346388+29187104274Stefano Morozzi11/2024
83062^346388+114657104274Stefano Morozzi11/2024
83072^346388+158667104274Stefano Morozzi11/2024
8308(22*10^104272-61)/3104273Robert Price03/2022
83092^346385+150947104273Stefano Morozzi11/2024
83102^346385+179309104273Stefano Morozzi11/2024
83112^346387+80549104273Stefano Morozzi11/2024
83122^346387+90309104273Stefano Morozzi11/2024
83132^346387+157473104273Stefano Morozzi11/2024
83142^346381+67497104272Stefano Morozzi11/2024
83152^346379+72419104271Stefano Morozzi11/2024
83162^346379+118811104271Stefano Morozzi11/2024
83172^346377+97379104270Stefano Morozzi11/2024
83182^346371+144159104269Stefano Morozzi11/2024
83192^346371+167213104269Stefano Morozzi11/2024
83202^346373+31301104269Stefano Morozzi11/2024
83212^346373+103665104269Stefano Morozzi11/2024
83222^346368+19155104268Stefano Morozzi11/2024
83232^346370+10107104268Stefano Morozzi11/2024
83242^346370+38649104268Stefano Morozzi11/2024
83252^346365+8411104267Stefano Morozzi11/2024
83262^346367+6735104267Stefano Morozzi11/2024
83272^346367+140303104267Stefano Morozzi11/2024
83282^346361+17507104266Stefano Morozzi11/2024
83292^346361+46401104266Stefano Morozzi11/2024
83302^346361+64875104266Stefano Morozzi11/2024
83312^346364+182271104266Stefano Morozzi11/2024
83322^346360+33403104265Stefano Morozzi11/2024
83332^346355+7121104264Stefano Morozzi11/2024
83342^346356+128607104264Stefano Morozzi11/2024
83352^346356+152841104264Stefano Morozzi11/2024
83362^346351+12735104263Stefano Morozzi11/2024
83372^346354+12247104263Stefano Morozzi11/2024
83382^346354+93177104263Stefano Morozzi11/2024
83392^346354+152067104263Stefano Morozzi11/2024
83402^346348+55023104262Stefano Morozzi11/2024
83412^346349+92945104262Stefano Morozzi11/2024
83422^346350+124873104262Stefano Morozzi11/2024
83432^346350+141253104262Stefano Morozzi11/2024
83442^346345+36681104261Stefano Morozzi11/2024
83452^346346+142767104261Stefano Morozzi11/2024
83462^346331+13743104257Stefano Morozzi11/2024
83472^346333+100331104257Stefano Morozzi11/2024
83482^346333+157209104257Stefano Morozzi11/2024
83492^346330+186837104256Stefano Morozzi11/2024
83502^346325+144891104255Stefano Morozzi11/2024
83512^346326+148237104255Stefano Morozzi11/2024
83522^346321+5877104254Stefano Morozzi11/2024
83532^346323+35999104254Stefano Morozzi11/2024
83542^346323+133109104254Stefano Morozzi11/2024
83552^346318+50695104253Stefano Morozzi11/2024
83562^346319+78975104253Stefano Morozzi11/2024
8361(2^346318+862)/2104252Stefano Morozzi02/2021
83572^346315+46235104252Stefano Morozzi11/2024
83582^346316+84571104252Stefano Morozzi11/2024
83592^346316+168015104252Stefano Morozzi11/2024
83602^346317+431104252Stefano Morozzi11/2024
836918^83049-89104250Lelio R Paula01/2017
8368(2^346311+606)/2104250Stefano Morozzi09/2020
83622^346308+92347104250Stefano Morozzi11/2024
83632^346308+182521104250Stefano Morozzi11/2024
83642^346309+128897104250Stefano Morozzi11/2024
83652^346309+184955104250Stefano Morozzi11/2024
83662^346310+303104250Stefano Morozzi11/2024
83672^346311+32693104250Stefano Morozzi11/2024
83702^346305+165741104249Stefano Morozzi11/2024
83712^346302+75075104248Stefano Morozzi11/2024
83722^346304+33411104248Stefano Morozzi11/2024
83732^346298+147849104247Stefano Morozzi11/2024
83742^346300+144855104247Stefano Morozzi11/2024
83752^346296+44865104246Stefano Morozzi11/2024
83762^346297+116291104246Stefano Morozzi11/2024
83772^346297+142667104246Stefano Morozzi11/2024
83782^346293+39285104245Stefano Morozzi11/2024
83792^346293+58929104245Stefano Morozzi11/2024
83802^346294+151075104245Stefano Morozzi11/2024
83812^346290+162153104244Stefano Morozzi11/2024
83822^346286+139935104243Stefano Morozzi11/2024
83832^346282+184705104242Stefano Morozzi11/2024
83842^346283+116913104242Stefano Morozzi11/2024
83852^346284+118191104242Stefano Morozzi11/2024
83862^346284+186595104242Stefano Morozzi11/2024
83872^346279+29591104241Stefano Morozzi11/2024
83882^346279+122385104241Stefano Morozzi11/2024
83892^346280+18925104241Stefano Morozzi11/2024
83902^346281+69725104241Stefano Morozzi11/2024
83912^346281+156401104241Stefano Morozzi11/2024
83922^346275+182519104240Stefano Morozzi11/2024
83932^346276+14101104240Stefano Morozzi11/2024
83942^346276+189937104240Stefano Morozzi11/2024
83952^346273+121425104239Stefano Morozzi11/2024
83962^346274+72363104239Stefano Morozzi11/2024
83972^346274+92047104239Stefano Morozzi11/2024
83982^346268+44233104238Stefano Morozzi11/2024
83992^346270+19539104238Stefano Morozzi11/2024
84002^346265+133877104237Stefano Morozzi11/2024
84012^346267+64613104237Stefano Morozzi11/2024
84022^346267+70461104237Stefano Morozzi11/2024
84032^346267+118715104237Stefano Morozzi11/2024
84042^346263+110721104236Stefano Morozzi11/2024
84052^346263+165009104236Stefano Morozzi11/2024
84062^346264+50481104236Stefano Morozzi11/2024
84072^346264+134047104236Stefano Morozzi11/2024
84082^346264+179617104236Stefano Morozzi11/2024
84092^346260+176391104235Stefano Morozzi11/2024
84102^346256+36111104234Stefano Morozzi11/2024
84112^346254+52299104233Stefano Morozzi11/2024
8417(166*10^104230+11)/3104232Robert Price03/2021
84122^346248+3075104232Stefano Morozzi11/2024
84132^346248+39081104232Stefano Morozzi11/2024
84142^346249+38339104232Stefano Morozzi11/2024
84152^346251+32831104232Stefano Morozzi11/2024
84162^346251+116175104232Stefano Morozzi11/2024
84182^346247+197309104231Stefano Morozzi11/2024
84192^346245+95429104231Stefano Morozzi11/2024
84202^346243+58163104230Stefano Morozzi11/2024
84212^346243+130931104230Stefano Morozzi11/2024
84222^346244+10381104230Stefano Morozzi11/2024
84232^346241+41057104229Stefano Morozzi11/2024
84242^346235+152303104228Stefano Morozzi11/2024
84252^346236+106617104228Stefano Morozzi11/2024
84262^346232+103317104227Stefano Morozzi11/2024
84272^346232+193681104227Stefano Morozzi11/2024
84282^346233+115671104227Stefano Morozzi11/2024
84292^346229+73157104226Stefano Morozzi11/2024
84302^346229+145377104226Stefano Morozzi11/2024
84312^346230+171103104226Stefano Morozzi11/2024
84322^346225+55527104225Stefano Morozzi11/2024
84332^346225+132251104225Stefano Morozzi11/2024
84342^346225+140637104225Stefano Morozzi11/2024
84352^346223+27335104224Stefano Morozzi11/2024
84362^346223+74591104224Stefano Morozzi11/2024
84372^346224+70905104224Stefano Morozzi11/2024
84382^346220+12355104223Stefano Morozzi11/2024
84392^346220+110805104223Stefano Morozzi11/2024
84402^346220+161361104223Stefano Morozzi11/2024
84412^346220+176523104223Stefano Morozzi11/2024
84422^346220+185625104223Stefano Morozzi11/2024
84432^346216+62973104222Stefano Morozzi11/2024
84442^346217+88391104222Stefano Morozzi11/2024
84452^346217+170121104222Stefano Morozzi11/2024
84462^346217+111567104222Stefano Morozzi11/2024
84502^346213+484049104221Enzo Doria04/2017
84472^346212+31773104221Stefano Morozzi11/2024
84482^346213+37151104221Stefano Morozzi11/2024
84492^346213+162399104221Stefano Morozzi11/2024
84512^346209+173231104220Stefano Morozzi11/2024
84522^346207+125243104219Stefano Morozzi11/2024
84532^346208+79825104219Stefano Morozzi11/2024
84542^346208+176463104219Stefano Morozzi11/2024
84552^346206+195363104219Stefano Morozzi11/2024
84562^346202+67065104218Stefano Morozzi11/2024
84572^346202+107377104218Stefano Morozzi11/2024
84582^346204+127677104218Stefano Morozzi11/2024
84592^346204+19573104218Stefano Morozzi11/2024
84602^346204+161997104218Stefano Morozzi11/2024
84612^346204+152665104218Stefano Morozzi11/2024
84622^346199+90995104217Stefano Morozzi11/2024
84632^346199+189629104217Stefano Morozzi11/2024
84642^346200+159591104217Stefano Morozzi11/2024
84652^346195+19733104216Stefano Morozzi11/2024
84662^346196+141117104216Stefano Morozzi11/2024
84672^346196+195171104216Stefano Morozzi11/2024
84682^346197+113751104216Stefano Morozzi11/2024
84692^346198+95305104216Stefano Morozzi11/2024
84702^346198+106735104216Stefano Morozzi11/2024
847218^83021-91104214Lelio R Paula01/2017
84712^346189+194831104214Stefano Morozzi11/2024
847310^104212+128779104213Patrick De Geest05/2016
847410^104212+237447104213Patrick De Geest05/2016
847510^104212+242139104213Patrick De Geest05/2016
847610^104212+269199104213Patrick De Geest05/2016
848024254^19803+19803^24254104213Hans Havermann09/2020
84772^346186+93813104213Stefano Morozzi11/2024
84782^346186+153687104213Stefano Morozzi11/2024
84792^346187+102195104213Stefano Morozzi11/2024
8485(10^104212-71)/1104212Serge Batalov12/2014
84812^346182+118065104212Stefano Morozzi11/2024
84822^346184+155085104212Stefano Morozzi11/2024
84832^346184+187513104212Stefano Morozzi11/2024
84842^346184+188455104212Stefano Morozzi11/2024
84862^346180+82735104211Stefano Morozzi11/2024
84872^346180+160593104211Stefano Morozzi11/2024
84882^346180+192333104211Stefano Morozzi11/2024
84892^346181+199821104211Stefano Morozzi11/2024
84902^346176+123667104210Stefano Morozzi11/2024
84912^346178+37455104210Stefano Morozzi11/2024
84922^346178+95865104210Stefano Morozzi11/2024
84932^346178+159517104210Stefano Morozzi11/2024
84942^346174+12543104209Stefano Morozzi11/2024
84952^346169+56049104208Stefano Morozzi11/2024
84962^346169+118965104208Stefano Morozzi11/2024
84972^346170+31363104208Stefano Morozzi11/2024
84982^346165+61767104207Stefano Morozzi11/2024
84992^346166+189919104207Stefano Morozzi11/2024
85002^346167+41681104207Stefano Morozzi11/2024


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: June, 28 2025 10:26 (Time in France)

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