PRP Records

Probable Primes Top 10000

(294627 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 ?
75012^338752+32977101975Stefano Morozzi02/2022
75022^338753-79233101975Stefano Morozzi02/2022
75032^338752-88157101975Stefano Morozzi12/2022
75042^338750-175625101974Stefano Morozzi12/2021
75052^338747-2731101974Stefano Morozzi12/2021
75062^338750-29597101974Stefano Morozzi02/2022
75072^338748+35095101974Stefano Morozzi03/2022
75082^338747+137475101974Stefano Morozzi04/2022
75092^338747+162005101974Stefano Morozzi04/2022
75102^338750+162237101974Stefano Morozzi04/2022
75112^338747-184365101974Stefano Morozzi04/2022
75122^338748+64341101974Stefano Morozzi05/2022
75132^338750+24445101974Stefano Morozzi02/2023
75142^338746+59577101973Stefano Morozzi03/2022
75152^338746+62055101973Stefano Morozzi04/2022
75162^338744+194065101973Stefano Morozzi09/2022
75172^338741+25359101972Stefano Morozzi12/2021
75182^338743+176981101972Stefano Morozzi12/2021
75192^338741+183029101972Stefano Morozzi02/2022
75202^338743-130309101972Stefano Morozzi02/2022
75212^338741+86349101972Stefano Morozzi04/2022
75222^338741+111561101972Stefano Morozzi04/2022
75232^338743+172301101972Stefano Morozzi11/2022
75242^338741-189969101972Stefano Morozzi01/2023
75252^338739+76959101971Stefano Morozzi12/2021
75262^338739-105957101971Stefano Morozzi02/2022
75272^338739+190149101971Stefano Morozzi05/2022
75282^338738+64947101971Stefano Morozzi05/2022
75292^338740+119947101971Stefano Morozzi11/2022
75302^338740-186837101971Stefano Morozzi12/2022
75312^338737+127547101970Stefano Morozzi12/2021
75322^338737+128591101970Stefano Morozzi01/2022
75332^338735-153165101970Stefano Morozzi01/2022
75342^338734+13719101970Stefano Morozzi05/2022
75352^338734-138225101970Stefano Morozzi12/2022
75362^338735-186129101970Stefano Morozzi12/2022
754225295^10744+10744^25295101969Hans Havermann01/2019
754325712^9243+9243^25712101969Hans Havermann01/2019
75372^338731-150895101969Stefano Morozzi12/2021
75382^338731+54911101969Stefano Morozzi01/2022
75392^338731+85863101969Stefano Morozzi03/2022
75402^338732+185047101969Stefano Morozzi03/2022
75412^338733+193791101969Stefano Morozzi09/2022
75442^338729+69221101968Stefano Morozzi09/2022
75452^338728+123355101968Stefano Morozzi11/2022
75462^338730-87063101968Stefano Morozzi12/2022
75472^338726+128199101967Stefano Morozzi01/2022
75482^338727+127745101967Stefano Morozzi01/2022
75492^338724+32971101967Stefano Morozzi02/2022
75502^338727+189683101967Stefano Morozzi05/2022
75512^338727+118293101967Stefano Morozzi09/2022
75522^338723-76651101966Stefano Morozzi12/2021
75532^338721+79037101966Stefano Morozzi01/2022
75542^338723-132621101966Stefano Morozzi03/2022
75552^338722+137313101966Stefano Morozzi04/2022
75562^338722+162915101966Stefano Morozzi04/2022
75572^338723+199161101966Stefano Morozzi02/2023
75582^338718-126861101965Stefano Morozzi12/2021
75592^338718-109127101965Stefano Morozzi04/2022
7564(71^55079-1)/70101964Paul Bourdelais08/2017
75602^338714+30835101964Stefano Morozzi01/2022
75612^338714+156715101964Stefano Morozzi02/2022
75622^338715+19923101964Stefano Morozzi09/2022
75632^338716+173253101964Stefano Morozzi11/2022
75652^338711+125399101963Stefano Morozzi12/2021
75662^338713-30895101963Stefano Morozzi02/2022
75672^338712-132545101963Stefano Morozzi03/2022
75682^338713+87825101963Stefano Morozzi04/2022
75692^338712+190333101963Stefano Morozzi06/2022
75702^338709-154429101962Stefano Morozzi02/2022
75712^338710+140545101962Stefano Morozzi06/2022
75722^338706-102917101961Stefano Morozzi01/2022
75732^338705+34727101961Stefano Morozzi03/2022
75742^338706-165633101961Stefano Morozzi01/2023
75752^338707-116115101961Stefano Morozzi01/2023
75762^338698+104083101959Stefano Morozzi01/2022
75772^338700-184565101959Stefano Morozzi04/2022
75782^338700+189777101959Stefano Morozzi05/2022
75792^338698+41779101959Stefano Morozzi09/2022
75802^338699+148533101959Stefano Morozzi11/2022
75812^338700+97381101959Stefano Morozzi11/2022
75822^338698-142181101959Stefano Morozzi02/2023
75832^338696+181671101958Stefano Morozzi02/2022
75842^338697+146651101958Stefano Morozzi11/2022
75852^338695-116977101958Stefano Morozzi02/2023
75862^338692+106297101957Stefano Morozzi01/2022
75872^338692+33195101957Stefano Morozzi02/2022
75882^338692+110505101957Stefano Morozzi03/2022
75892^338692+190093101957Stefano Morozzi05/2022
75902^338692+173343101957Stefano Morozzi11/2022
75912^338693+144975101957Stefano Morozzi11/2022
75922^338692+149281101957Stefano Morozzi02/2023
75932^338688+82203101956Stefano Morozzi02/2022
75942^338689+82365101956Stefano Morozzi02/2022
75952^338688-92159101956Stefano Morozzi02/2023
75962^338686-81303101955Stefano Morozzi03/2022
75972^338687+40461101955Stefano Morozzi06/2022
75982^338687+65283101955Stefano Morozzi06/2022
76042^338682-19865101954Enzo Doria06/2013
7605(2^(112895*3+1)+243)/7101954Kevin Acres12/2013
7599(8*10^101954-269)/9101954Robert Price09/2021
76002^338683+50303101954Stefano Morozzi11/2021
76012^338682-107205101954Stefano Morozzi03/2022
76022^338682+13839101954Stefano Morozzi05/2022
76032^338683-42837101954Stefano Morozzi02/2023
76062^338678-180005101953Stefano Morozzi02/2022
76072^338680+15855101953Stefano Morozzi06/2022
76082^338678+93175101953Stefano Morozzi09/2022
76092^338680+99217101953Stefano Morozzi02/2023
76102^338674-175967101952Stefano Morozzi12/2021
76112^338677-177373101952Stefano Morozzi12/2021
76122^338677+102999101952Stefano Morozzi01/2022
76132^338676+33381101952Stefano Morozzi03/2022
76142^338677-82699101952Stefano Morozzi03/2022
76152^338676-34299101952Stefano Morozzi04/2022
76162^338675+188445101952Stefano Morozzi05/2022
76172^338676+165271101952Stefano Morozzi06/2022
76182^338674-187551101952Stefano Morozzi12/2022
76192^338676-42243101952Stefano Morozzi02/2023
76202^338671-55041101951Stefano Morozzi02/2022
76212^338673-80203101951Stefano Morozzi02/2022
76222^338672-182063101951Stefano Morozzi03/2022
76232^338672+36667101951Stefano Morozzi04/2022
76242^338668+2583101950Stefano Morozzi12/2021
76252^338670-157001101950Stefano Morozzi03/2022
76262^338669-8353101950Stefano Morozzi04/2022
76272^338670+40635101950Stefano Morozzi06/2022
7635(2^338666+3154)/2101949Stefano Morozzi09/2020
76282^338665+1577101949Stefano Morozzi12/2021
76292^338665-51133101949Stefano Morozzi12/2021
76302^338664+4345101949Stefano Morozzi01/2022
76312^338666-128943101949Stefano Morozzi01/2022
76322^338664+131535101949Stefano Morozzi01/2022
76332^338667+14943101949Stefano Morozzi05/2022
76342^338665+166637101949Stefano Morozzi09/2022
76362^338662+31587101948Stefano Morozzi02/2022
76372^338663-58375101948Stefano Morozzi04/2022
76382^338663-107869101948Stefano Morozzi04/2022
76392^338663+90435101948Stefano Morozzi06/2022
76402^338661+70457101948Stefano Morozzi11/2022
76412^338662+70519101948Stefano Morozzi11/2022
76422^338663-39447101948Stefano Morozzi01/2023
76432^338658-159191101947Stefano Morozzi04/2022
76442^338659-159687101947Stefano Morozzi04/2022
76452^338659+15543101947Stefano Morozzi05/2022
76462^338658+44395101947Stefano Morozzi09/2022
76472^338658+192537101947Stefano Morozzi09/2022
76482^338659-90531101947Stefano Morozzi01/2023
76492^338659-114759101947Stefano Morozzi01/2023
76502^338659+124079101947Stefano Morozzi02/2023
76512^338654+51027101946Stefano Morozzi12/2021
76522^338656-152115101946Stefano Morozzi12/2021
76532^338654+32415101946Stefano Morozzi02/2022
76542^338654+39799101946Stefano Morozzi05/2022
76552^338655+144579101946Stefano Morozzi09/2022
76562^338657+97509101946Stefano Morozzi11/2022
76572^338653+126629101945Stefano Morozzi12/2021
76582^338653+33279101945Stefano Morozzi02/2022
76592^338652-107097101945Stefano Morozzi03/2022
76602^338653+94475101945Stefano Morozzi09/2022
76612^338651+194073101945Stefano Morozzi09/2022
76622^338652-89157101945Stefano Morozzi01/2023
76632^338649-154663101944Stefano Morozzi02/2022
76642^338650+61399101944Stefano Morozzi04/2022
76652^338650-35655101944Stefano Morozzi06/2022
76662^338650+169623101944Stefano Morozzi09/2022
76672^338649-40743101944Stefano Morozzi01/2023
76682^338645+150311101943Stefano Morozzi11/2021
76692^338645+28481101943Stefano Morozzi01/2022
76702^338647-77895101943Stefano Morozzi01/2022
76712^338647-84607101943Stefano Morozzi04/2022
76722^338647+164523101943Stefano Morozzi05/2022
76732^338645+64845101943Stefano Morozzi05/2022
76742^338644-35969101943Stefano Morozzi12/2022
76752^338645-15715101943Stefano Morozzi01/2023
76762^338641-152541101942Stefano Morozzi12/2021
76772^338643-56487101942Stefano Morozzi03/2022
76782^338642-186525101942Stefano Morozzi12/2022
76792^338643-41715101942Stefano Morozzi02/2023
76802^338638+100575101941Stefano Morozzi12/2021
76812^338639-127461101941Stefano Morozzi12/2021
76822^338640+187657101941Stefano Morozzi04/2022
76832^338640+44431101941Stefano Morozzi09/2022
76842^338635+1961101940Stefano Morozzi12/2021
76852^338637+102125101940Stefano Morozzi12/2021
76862^338636-135329101940Stefano Morozzi06/2022
76872^338635+199485101940Stefano Morozzi02/2023
769228594^3673+3673^28594101939Hans Havermann02/2019
76882^338631+110741101939Stefano Morozzi03/2022
76892^338631+112119101939Stefano Morozzi04/2022
76902^338634-83097101939Stefano Morozzi04/2022
76912^338633+139701101939Stefano Morozzi05/2022
76932^338630-150341101938Stefano Morozzi12/2021
76942^338630+12867101938Stefano Morozzi04/2022
76952^338629+42147101938Stefano Morozzi09/2022
76962^338628+121083101938Stefano Morozzi11/2022
76972^338630+147235101938Stefano Morozzi11/2022
76982^338628-37679101938Stefano Morozzi12/2022
76992^338629-41383101938Stefano Morozzi01/2023
77002^338628-91877101938Stefano Morozzi02/2023
77012^338626-105875101937Stefano Morozzi02/2022
77022^338625-111729101937Stefano Morozzi12/2022
77032^338627+49299101937Stefano Morozzi02/2023
77042^338621+33069101936Stefano Morozzi02/2022
77052^338623-106405101936Stefano Morozzi03/2022
77062^338621+61751101936Stefano Morozzi04/2022
77072^338623-86577101936Stefano Morozzi12/2022
77082^338620-150735101935Stefano Morozzi12/2021
77092^338619-27765101935Stefano Morozzi01/2022
77102^338619-77959101935Stefano Morozzi01/2022
77112^338619-186367101935Stefano Morozzi12/2022
77122^338618-64905101935Stefano Morozzi01/2023
77132^338615+151655101934Stefano Morozzi12/2021
77142^338616+5047101934Stefano Morozzi01/2022
77152^338616+39705101934Stefano Morozzi05/2022
77162^338617+149321101934Stefano Morozzi02/2023
77172^338611+76659101933Stefano Morozzi12/2021
77182^338613-109791101933Stefano Morozzi04/2022
77192^338612+119583101933Stefano Morozzi09/2022
77202^338611-140397101933Stefano Morozzi01/2023
77212^338614-39653101933Stefano Morozzi01/2023
77222^338609+130139101932Stefano Morozzi01/2022
77232^338609+131327101932Stefano Morozzi01/2022
77242^338608-155453101932Stefano Morozzi02/2022
77252^338609+161721101932Stefano Morozzi04/2022
77262^338609-10405101932Stefano Morozzi06/2022
77272^338608+94017101932Stefano Morozzi09/2022
77282^338610+170515101932Stefano Morozzi11/2022
77292^338607+30611101931Stefano Morozzi01/2022
77302^338607+106695101931Stefano Morozzi02/2022
77312^338606-32291101931Stefano Morozzi03/2022
77322^338606+15195101931Stefano Morozzi05/2022
77332^338605+197789101931Stefano Morozzi11/2022
77342^338607-90621101931Stefano Morozzi01/2023
77352^338603-1195101930Stefano Morozzi12/2021
77362^338601+108867101930Stefano Morozzi03/2022
77372^338603+34311101930Stefano Morozzi03/2022
77382^338598+57127101929Stefano Morozzi02/2022
77392^338598+162645101929Stefano Morozzi04/2022
77402^338599+43445101929Stefano Morozzi09/2022
77412^338599+19485101929Stefano Morozzi09/2022
77422^338598+46195101929Stefano Morozzi11/2022
77432^338600-36393101929Stefano Morozzi12/2022
77442^338596-1739101928Stefano Morozzi12/2021
77452^338595-78687101928Stefano Morozzi01/2022
77462^338595+181683101928Stefano Morozzi02/2022
77472^338597-106045101928Stefano Morozzi02/2022
77482^338595+119565101928Stefano Morozzi09/2022
77492^338595+19623101928Stefano Morozzi09/2022
77502^338595+21711101928Stefano Morozzi11/2022


Find by discoverer :


Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: March, 12 2024 13:37 (Time in France)

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