PRP Records

Probable Primes Top 10000

(301942 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 ?
85012^346409+145047104280Stefano Morozzi11/2024
85022^346410+172533104280Stefano Morozzi11/2024
85032^346406+58417104279Stefano Morozzi11/2024
85042^346406+198315104279Stefano Morozzi11/2024
85052^346407+172509104279Stefano Morozzi11/2024
85062^346401+180129104278Stefano Morozzi11/2024
85072^346402+16897104278Stefano Morozzi11/2024
85082^346402+114829104278Stefano Morozzi11/2024
85092^346398+91623104277Stefano Morozzi11/2024
85102^346398+117369104277Stefano Morozzi11/2024
85112^346400+100141104277Stefano Morozzi11/2024
85122^346400+183625104277Stefano Morozzi11/2024
85132^346395+87281104276Stefano Morozzi11/2024
85142^346391+28833104275Stefano Morozzi11/2024
85152^346392+33715104275Stefano Morozzi11/2024
85162^346392+37507104275Stefano Morozzi11/2024
85172^346392+197617104275Stefano Morozzi11/2024
85182^346393+45929104275Stefano Morozzi11/2024
85192^346388+27223104274Stefano Morozzi11/2024
85202^346388+29187104274Stefano Morozzi11/2024
85212^346388+114657104274Stefano Morozzi11/2024
85222^346388+158667104274Stefano Morozzi11/2024
8523(22*10^104272-61)/3104273Robert Price03/2022
85242^346385+150947104273Stefano Morozzi11/2024
85252^346385+179309104273Stefano Morozzi11/2024
85262^346387+80549104273Stefano Morozzi11/2024
85272^346387+90309104273Stefano Morozzi11/2024
85282^346387+157473104273Stefano Morozzi11/2024
85292^346381+67497104272Stefano Morozzi11/2024
85302^346379+72419104271Stefano Morozzi11/2024
85312^346379+118811104271Stefano Morozzi11/2024
85322^346377+97379104270Stefano Morozzi11/2024
85332^346371+144159104269Stefano Morozzi11/2024
85342^346371+167213104269Stefano Morozzi11/2024
85352^346373+31301104269Stefano Morozzi11/2024
85362^346373+103665104269Stefano Morozzi11/2024
85372^346368+19155104268Stefano Morozzi11/2024
85382^346370+10107104268Stefano Morozzi11/2024
85392^346370+38649104268Stefano Morozzi11/2024
85402^346365+8411104267Stefano Morozzi11/2024
85412^346367+6735104267Stefano Morozzi11/2024
85422^346367+140303104267Stefano Morozzi11/2024
85432^346361+17507104266Stefano Morozzi11/2024
85442^346361+46401104266Stefano Morozzi11/2024
85452^346361+64875104266Stefano Morozzi11/2024
85462^346364+182271104266Stefano Morozzi11/2024
85472^346360+33403104265Stefano Morozzi11/2024
85482^346355+7121104264Stefano Morozzi11/2024
85492^346356+128607104264Stefano Morozzi11/2024
85502^346356+152841104264Stefano Morozzi11/2024
85512^346351+12735104263Stefano Morozzi11/2024
85522^346354+12247104263Stefano Morozzi11/2024
85532^346354+93177104263Stefano Morozzi11/2024
85542^346354+152067104263Stefano Morozzi11/2024
85552^346348+55023104262Stefano Morozzi11/2024
85562^346349+92945104262Stefano Morozzi11/2024
85572^346350+124873104262Stefano Morozzi11/2024
85582^346350+141253104262Stefano Morozzi11/2024
85592^346345+36681104261Stefano Morozzi11/2024
85602^346346+142767104261Stefano Morozzi11/2024
85612^346331+13743104257Stefano Morozzi11/2024
85622^346333+100331104257Stefano Morozzi11/2024
85632^346333+157209104257Stefano Morozzi11/2024
85642^346330+186837104256Stefano Morozzi11/2024
85652^346325+144891104255Stefano Morozzi11/2024
85662^346326+148237104255Stefano Morozzi11/2024
85672^346321+5877104254Stefano Morozzi11/2024
85682^346323+35999104254Stefano Morozzi11/2024
85692^346323+133109104254Stefano Morozzi11/2024
85702^346318+50695104253Stefano Morozzi11/2024
85712^346319+78975104253Stefano Morozzi11/2024
8576(2^346318+862)/2104252Stefano Morozzi02/2021
85722^346315+46235104252Stefano Morozzi11/2024
85732^346316+84571104252Stefano Morozzi11/2024
85742^346316+168015104252Stefano Morozzi11/2024
85752^346317+431104252Stefano Morozzi11/2024
858418^83049-89104250Lelio R Paula01/2017
8577(2^346311+606)/2104250Stefano Morozzi09/2020
85782^346308+92347104250Stefano Morozzi11/2024
85792^346308+182521104250Stefano Morozzi11/2024
85802^346309+128897104250Stefano Morozzi11/2024
85812^346309+184955104250Stefano Morozzi11/2024
85822^346310+303104250Stefano Morozzi11/2024
85832^346311+32693104250Stefano Morozzi11/2024
85852^346305+165741104249Stefano Morozzi11/2024
85862^346302+75075104248Stefano Morozzi11/2024
85872^346304+33411104248Stefano Morozzi11/2024
85882^346298+147849104247Stefano Morozzi11/2024
85892^346300+144855104247Stefano Morozzi11/2024
85902^346296+44865104246Stefano Morozzi11/2024
85912^346297+116291104246Stefano Morozzi11/2024
85922^346297+142667104246Stefano Morozzi11/2024
85932^346293+39285104245Stefano Morozzi11/2024
85942^346293+58929104245Stefano Morozzi11/2024
85952^346294+151075104245Stefano Morozzi11/2024
85962^346290+162153104244Stefano Morozzi11/2024
85972^346286+139935104243Stefano Morozzi11/2024
85982^346282+184705104242Stefano Morozzi11/2024
85992^346283+116913104242Stefano Morozzi11/2024
86002^346284+118191104242Stefano Morozzi11/2024
86012^346284+186595104242Stefano Morozzi11/2024
86022^346279+29591104241Stefano Morozzi11/2024
86032^346279+122385104241Stefano Morozzi11/2024
86042^346280+18925104241Stefano Morozzi11/2024
86052^346281+69725104241Stefano Morozzi11/2024
86062^346281+156401104241Stefano Morozzi11/2024
86072^346275+182519104240Stefano Morozzi11/2024
86082^346276+14101104240Stefano Morozzi11/2024
86092^346276+189937104240Stefano Morozzi11/2024
86102^346273+121425104239Stefano Morozzi11/2024
86112^346274+72363104239Stefano Morozzi11/2024
86122^346274+92047104239Stefano Morozzi11/2024
86132^346268+44233104238Stefano Morozzi11/2024
86142^346270+19539104238Stefano Morozzi11/2024
86152^346265+133877104237Stefano Morozzi11/2024
86162^346267+64613104237Stefano Morozzi11/2024
86172^346267+70461104237Stefano Morozzi11/2024
86182^346267+118715104237Stefano Morozzi11/2024
86192^346263+110721104236Stefano Morozzi11/2024
86202^346263+165009104236Stefano Morozzi11/2024
86212^346264+50481104236Stefano Morozzi11/2024
86222^346264+134047104236Stefano Morozzi11/2024
86232^346264+179617104236Stefano Morozzi11/2024
86242^346260+176391104235Stefano Morozzi11/2024
86252^346256+36111104234Stefano Morozzi11/2024
86262^346254+52299104233Stefano Morozzi11/2024
8632(166*10^104230+11)/3104232Robert Price03/2021
86272^346248+3075104232Stefano Morozzi11/2024
86282^346248+39081104232Stefano Morozzi11/2024
86292^346249+38339104232Stefano Morozzi11/2024
86302^346251+32831104232Stefano Morozzi11/2024
86312^346251+116175104232Stefano Morozzi11/2024
86332^346247+197309104231Stefano Morozzi11/2024
86342^346245+95429104231Stefano Morozzi11/2024
86352^346243+58163104230Stefano Morozzi11/2024
86362^346243+130931104230Stefano Morozzi11/2024
86372^346244+10381104230Stefano Morozzi11/2024
86382^346241+41057104229Stefano Morozzi11/2024
86392^346235+152303104228Stefano Morozzi11/2024
86402^346236+106617104228Stefano Morozzi11/2024
86412^346232+103317104227Stefano Morozzi11/2024
86422^346232+193681104227Stefano Morozzi11/2024
86432^346233+115671104227Stefano Morozzi11/2024
86442^346229+73157104226Stefano Morozzi11/2024
86452^346229+145377104226Stefano Morozzi11/2024
86462^346230+171103104226Stefano Morozzi11/2024
86472^346225+55527104225Stefano Morozzi11/2024
86482^346225+132251104225Stefano Morozzi11/2024
86492^346225+140637104225Stefano Morozzi11/2024
86502^346223+27335104224Stefano Morozzi11/2024
86512^346223+74591104224Stefano Morozzi11/2024
86522^346224+70905104224Stefano Morozzi11/2024
86532^346220+12355104223Stefano Morozzi11/2024
86542^346220+110805104223Stefano Morozzi11/2024
86552^346220+161361104223Stefano Morozzi11/2024
86562^346220+176523104223Stefano Morozzi11/2024
86572^346220+185625104223Stefano Morozzi11/2024
86582^346216+62973104222Stefano Morozzi11/2024
86592^346217+88391104222Stefano Morozzi11/2024
86602^346217+170121104222Stefano Morozzi11/2024
86612^346217+111567104222Stefano Morozzi11/2024
86652^346213+484049104221Enzo Doria04/2017
86622^346212+31773104221Stefano Morozzi11/2024
86632^346213+37151104221Stefano Morozzi11/2024
86642^346213+162399104221Stefano Morozzi11/2024
86662^346209+173231104220Stefano Morozzi11/2024
86672^346207+125243104219Stefano Morozzi11/2024
86682^346208+79825104219Stefano Morozzi11/2024
86692^346208+176463104219Stefano Morozzi11/2024
86702^346206+195363104219Stefano Morozzi11/2024
86712^346202+67065104218Stefano Morozzi11/2024
86722^346202+107377104218Stefano Morozzi11/2024
86732^346204+127677104218Stefano Morozzi11/2024
86742^346204+19573104218Stefano Morozzi11/2024
86752^346204+161997104218Stefano Morozzi11/2024
86762^346204+152665104218Stefano Morozzi11/2024
86772^346199+90995104217Stefano Morozzi11/2024
86782^346199+189629104217Stefano Morozzi11/2024
86792^346200+159591104217Stefano Morozzi11/2024
86802^346195+19733104216Stefano Morozzi11/2024
86812^346196+141117104216Stefano Morozzi11/2024
86822^346196+195171104216Stefano Morozzi11/2024
86832^346197+113751104216Stefano Morozzi11/2024
86842^346198+95305104216Stefano Morozzi11/2024
86852^346198+106735104216Stefano Morozzi11/2024
868718^83021-91104214Lelio R Paula01/2017
86862^346189+194831104214Stefano Morozzi11/2024
868810^104212+128779104213Patrick De Geest05/2016
868910^104212+237447104213Patrick De Geest05/2016
869010^104212+242139104213Patrick De Geest05/2016
869110^104212+269199104213Patrick De Geest05/2016
869524254^19803+19803^24254104213Hans Havermann09/2020
86922^346186+93813104213Stefano Morozzi11/2024
86932^346186+153687104213Stefano Morozzi11/2024
86942^346187+102195104213Stefano Morozzi11/2024
8700(10^104212-71)/1104212Serge Batalov12/2014
86962^346182+118065104212Stefano Morozzi11/2024
86972^346184+155085104212Stefano Morozzi11/2024
86982^346184+187513104212Stefano Morozzi11/2024
86992^346184+188455104212Stefano Morozzi11/2024
87012^346180+82735104211Stefano Morozzi11/2024
87022^346180+160593104211Stefano Morozzi11/2024
87032^346180+192333104211Stefano Morozzi11/2024
87042^346181+199821104211Stefano Morozzi11/2024
87052^346176+123667104210Stefano Morozzi11/2024
87062^346178+37455104210Stefano Morozzi11/2024
87072^346178+95865104210Stefano Morozzi11/2024
87082^346178+159517104210Stefano Morozzi11/2024
87092^346174+12543104209Stefano Morozzi11/2024
87102^346169+56049104208Stefano Morozzi11/2024
87112^346169+118965104208Stefano Morozzi11/2024
87122^346170+31363104208Stefano Morozzi11/2024
87132^346165+61767104207Stefano Morozzi11/2024
87142^346166+189919104207Stefano Morozzi11/2024
87152^346167+41681104207Stefano Morozzi11/2024
87162^346162+85765104206Stefano Morozzi11/2024
87172^346164+152925104206Stefano Morozzi11/2024
87182^346160+131703104205Stefano Morozzi11/2024
87192^346155+166433104204Stefano Morozzi11/2024
87202^346157+7137104204Stefano Morozzi11/2024
87212^346158+31483104204Stefano Morozzi11/2024
87222^346158+183253104204Stefano Morozzi11/2024
87232^346152+136287104203Stefano Morozzi11/2024
87242^346154+107499104203Stefano Morozzi11/2024
87252^346154+187987104203Stefano Morozzi11/2024
872923678^23821-23821^23678104202Norbert Schneider01/2020
87262^346149+45857104202Stefano Morozzi11/2024
87272^346150+111579104202Stefano Morozzi11/2024
87282^346151+21539104202Stefano Morozzi11/2024
87302^346143+119183104200Stefano Morozzi11/2024
87312^346143+130361104200Stefano Morozzi11/2024
87322^346143+171791104200Stefano Morozzi11/2024
87332^346144+4731104200Stefano Morozzi11/2024
87342^346144+158097104200Stefano Morozzi11/2024
87352^346139+68459104199Stefano Morozzi11/2024
87362^346140+121711104199Stefano Morozzi11/2024
87372^346135+122913104198Stefano Morozzi11/2024
87382^346135+125453104198Stefano Morozzi11/2024
87392^346135+184869104198Stefano Morozzi11/2024
87402^346136+135721104198Stefano Morozzi11/2024
87412^346133+46695104197Stefano Morozzi11/2024
87422^346129+87819104196Stefano Morozzi11/2024
87432^346130+127369104196Stefano Morozzi11/2024
87442^346130+177619104196Stefano Morozzi11/2024
87452^346125+105609104195Stefano Morozzi11/2024
87462^346127+71201104195Stefano Morozzi11/2024
87472^346122+74469104194Stefano Morozzi11/2024
87482^346122+124119104194Stefano Morozzi11/2024
87492^346122+124227104194Stefano Morozzi11/2024
87502^346124+83973104194Stefano Morozzi11/2024


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: October, 13 2025 23:21 (Time in France)

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