PRP Records

Probable Primes Top 10000

(295461 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 ?
77512^338771-138805101981Stefano Morozzi12/2022
77522^338768-181007101980Stefano Morozzi02/2022
77532^338768+108807101980Stefano Morozzi03/2022
77542^338767+169155101980Stefano Morozzi09/2022
77552^338769+95369101980Stefano Morozzi11/2022
77562^338769+195965101980Stefano Morozzi11/2022
77572^338770-12725101980Stefano Morozzi12/2022
77582^338768-140843101980Stefano Morozzi01/2023
77592^338764+138013101979Stefano Morozzi04/2022
77602^338765-160323101979Stefano Morozzi06/2022
77612^338765+124545101979Stefano Morozzi02/2023
7767lucasU(1373,1,32502)-lucasU(1373,1,32501)101978Mike Oakes05/2009
77622^338761+103671101978Stefano Morozzi01/2022
77632^338763-7651101978Stefano Morozzi03/2022
77642^338763+65591101978Stefano Morozzi06/2022
77652^338762-111875101978Stefano Morozzi12/2022
77662^338762-192237101978Stefano Morozzi02/2023
77682^338757-5151101977Stefano Morozzi02/2022
77692^338760-79037101977Stefano Morozzi02/2022
77702^338757-82143101977Stefano Morozzi03/2022
77712^338757+137007101977Stefano Morozzi04/2022
77722^338755+158531101976Stefano Morozzi03/2022
77732^338755+74081101976Stefano Morozzi02/2023
77742^338752-153353101975Stefano Morozzi01/2022
77752^338751+8001101975Stefano Morozzi02/2022
77762^338752+32977101975Stefano Morozzi02/2022
77772^338753-79233101975Stefano Morozzi02/2022
77782^338752-88157101975Stefano Morozzi12/2022
77792^338750-175625101974Stefano Morozzi12/2021
77802^338747-2731101974Stefano Morozzi12/2021
77812^338750-29597101974Stefano Morozzi02/2022
77822^338748+35095101974Stefano Morozzi03/2022
77832^338747+137475101974Stefano Morozzi04/2022
77842^338747+162005101974Stefano Morozzi04/2022
77852^338750+162237101974Stefano Morozzi04/2022
77862^338747-184365101974Stefano Morozzi04/2022
77872^338748+64341101974Stefano Morozzi05/2022
77882^338750+24445101974Stefano Morozzi02/2023
77892^338746+59577101973Stefano Morozzi03/2022
77902^338746+62055101973Stefano Morozzi04/2022
77912^338744+194065101973Stefano Morozzi09/2022
77922^338741+25359101972Stefano Morozzi12/2021
77932^338743+176981101972Stefano Morozzi12/2021
77942^338741+183029101972Stefano Morozzi02/2022
77952^338743-130309101972Stefano Morozzi02/2022
77962^338741+86349101972Stefano Morozzi04/2022
77972^338741+111561101972Stefano Morozzi04/2022
77982^338743+172301101972Stefano Morozzi11/2022
77992^338741-189969101972Stefano Morozzi01/2023
78002^338739+76959101971Stefano Morozzi12/2021
78012^338739-105957101971Stefano Morozzi02/2022
78022^338739+190149101971Stefano Morozzi05/2022
78032^338738+64947101971Stefano Morozzi05/2022
78042^338740+119947101971Stefano Morozzi11/2022
78052^338740-186837101971Stefano Morozzi12/2022
78062^338737+127547101970Stefano Morozzi12/2021
78072^338737+128591101970Stefano Morozzi01/2022
78082^338735-153165101970Stefano Morozzi01/2022
78092^338734+13719101970Stefano Morozzi05/2022
78102^338734-138225101970Stefano Morozzi12/2022
78112^338735-186129101970Stefano Morozzi12/2022
781725295^10744+10744^25295101969Hans Havermann01/2019
781825712^9243+9243^25712101969Hans Havermann01/2019
78122^338731-150895101969Stefano Morozzi12/2021
78132^338731+54911101969Stefano Morozzi01/2022
78142^338731+85863101969Stefano Morozzi03/2022
78152^338732+185047101969Stefano Morozzi03/2022
78162^338733+193791101969Stefano Morozzi09/2022
78192^338729+69221101968Stefano Morozzi09/2022
78202^338728+123355101968Stefano Morozzi11/2022
78212^338730-87063101968Stefano Morozzi12/2022
78222^338726+128199101967Stefano Morozzi01/2022
78232^338727+127745101967Stefano Morozzi01/2022
78242^338724+32971101967Stefano Morozzi02/2022
78252^338727+189683101967Stefano Morozzi05/2022
78262^338727+118293101967Stefano Morozzi09/2022
78272^338723-76651101966Stefano Morozzi12/2021
78282^338721+79037101966Stefano Morozzi01/2022
78292^338723-132621101966Stefano Morozzi03/2022
78302^338722+137313101966Stefano Morozzi04/2022
78312^338722+162915101966Stefano Morozzi04/2022
78322^338723+199161101966Stefano Morozzi02/2023
78332^338718-126861101965Stefano Morozzi12/2021
78342^338718-109127101965Stefano Morozzi04/2022
7839(71^55079-1)/70101964Paul Bourdelais08/2017
78352^338714+30835101964Stefano Morozzi01/2022
78362^338714+156715101964Stefano Morozzi02/2022
78372^338715+19923101964Stefano Morozzi09/2022
78382^338716+173253101964Stefano Morozzi11/2022
78402^338711+125399101963Stefano Morozzi12/2021
78412^338713-30895101963Stefano Morozzi02/2022
78422^338712-132545101963Stefano Morozzi03/2022
78432^338713+87825101963Stefano Morozzi04/2022
78442^338712+190333101963Stefano Morozzi06/2022
78452^338709-154429101962Stefano Morozzi02/2022
78462^338710+140545101962Stefano Morozzi06/2022
78472^338706-102917101961Stefano Morozzi01/2022
78482^338705+34727101961Stefano Morozzi03/2022
78492^338706-165633101961Stefano Morozzi01/2023
78502^338707-116115101961Stefano Morozzi01/2023
78512^338698+104083101959Stefano Morozzi01/2022
78522^338700-184565101959Stefano Morozzi04/2022
78532^338700+189777101959Stefano Morozzi05/2022
78542^338698+41779101959Stefano Morozzi09/2022
78552^338699+148533101959Stefano Morozzi11/2022
78562^338700+97381101959Stefano Morozzi11/2022
78572^338698-142181101959Stefano Morozzi02/2023
78582^338696+181671101958Stefano Morozzi02/2022
78592^338697+146651101958Stefano Morozzi11/2022
78602^338695-116977101958Stefano Morozzi02/2023
78612^338692+106297101957Stefano Morozzi01/2022
78622^338692+33195101957Stefano Morozzi02/2022
78632^338692+110505101957Stefano Morozzi03/2022
78642^338692+190093101957Stefano Morozzi05/2022
78652^338692+173343101957Stefano Morozzi11/2022
78662^338693+144975101957Stefano Morozzi11/2022
78672^338692+149281101957Stefano Morozzi02/2023
78682^338688+82203101956Stefano Morozzi02/2022
78692^338689+82365101956Stefano Morozzi02/2022
78702^338688-92159101956Stefano Morozzi02/2023
78712^338686-81303101955Stefano Morozzi03/2022
78722^338687+40461101955Stefano Morozzi06/2022
78732^338687+65283101955Stefano Morozzi06/2022
78792^338682-19865101954Enzo Doria06/2013
7880(2^(112895*3+1)+243)/7101954Kevin Acres12/2013
7874(8*10^101954-269)/9101954Robert Price09/2021
78752^338683+50303101954Stefano Morozzi11/2021
78762^338682-107205101954Stefano Morozzi03/2022
78772^338682+13839101954Stefano Morozzi05/2022
78782^338683-42837101954Stefano Morozzi02/2023
78812^338678-180005101953Stefano Morozzi02/2022
78822^338680+15855101953Stefano Morozzi06/2022
78832^338678+93175101953Stefano Morozzi09/2022
78842^338680+99217101953Stefano Morozzi02/2023
78852^338674-175967101952Stefano Morozzi12/2021
78862^338677-177373101952Stefano Morozzi12/2021
78872^338677+102999101952Stefano Morozzi01/2022
78882^338676+33381101952Stefano Morozzi03/2022
78892^338677-82699101952Stefano Morozzi03/2022
78902^338676-34299101952Stefano Morozzi04/2022
78912^338675+188445101952Stefano Morozzi05/2022
78922^338676+165271101952Stefano Morozzi06/2022
78932^338674-187551101952Stefano Morozzi12/2022
78942^338676-42243101952Stefano Morozzi02/2023
78952^338671-55041101951Stefano Morozzi02/2022
78962^338673-80203101951Stefano Morozzi02/2022
78972^338672-182063101951Stefano Morozzi03/2022
78982^338672+36667101951Stefano Morozzi04/2022
78992^338668+2583101950Stefano Morozzi12/2021
79002^338670-157001101950Stefano Morozzi03/2022
79012^338669-8353101950Stefano Morozzi04/2022
79022^338670+40635101950Stefano Morozzi06/2022
7910(2^338666+3154)/2101949Stefano Morozzi09/2020
79032^338665+1577101949Stefano Morozzi12/2021
79042^338665-51133101949Stefano Morozzi12/2021
79052^338664+4345101949Stefano Morozzi01/2022
79062^338666-128943101949Stefano Morozzi01/2022
79072^338664+131535101949Stefano Morozzi01/2022
79082^338667+14943101949Stefano Morozzi05/2022
79092^338665+166637101949Stefano Morozzi09/2022
79112^338662+31587101948Stefano Morozzi02/2022
79122^338663-58375101948Stefano Morozzi04/2022
79132^338663-107869101948Stefano Morozzi04/2022
79142^338663+90435101948Stefano Morozzi06/2022
79152^338661+70457101948Stefano Morozzi11/2022
79162^338662+70519101948Stefano Morozzi11/2022
79172^338663-39447101948Stefano Morozzi01/2023
79182^338658-159191101947Stefano Morozzi04/2022
79192^338659-159687101947Stefano Morozzi04/2022
79202^338659+15543101947Stefano Morozzi05/2022
79212^338658+44395101947Stefano Morozzi09/2022
79222^338658+192537101947Stefano Morozzi09/2022
79232^338659-90531101947Stefano Morozzi01/2023
79242^338659-114759101947Stefano Morozzi01/2023
79252^338659+124079101947Stefano Morozzi02/2023
79262^338654+51027101946Stefano Morozzi12/2021
79272^338656-152115101946Stefano Morozzi12/2021
79282^338654+32415101946Stefano Morozzi02/2022
79292^338654+39799101946Stefano Morozzi05/2022
79302^338655+144579101946Stefano Morozzi09/2022
79312^338657+97509101946Stefano Morozzi11/2022
79322^338653+126629101945Stefano Morozzi12/2021
79332^338653+33279101945Stefano Morozzi02/2022
79342^338652-107097101945Stefano Morozzi03/2022
79352^338653+94475101945Stefano Morozzi09/2022
79362^338651+194073101945Stefano Morozzi09/2022
79372^338652-89157101945Stefano Morozzi01/2023
79382^338649-154663101944Stefano Morozzi02/2022
79392^338650+61399101944Stefano Morozzi04/2022
79402^338650-35655101944Stefano Morozzi06/2022
79412^338650+169623101944Stefano Morozzi09/2022
79422^338649-40743101944Stefano Morozzi01/2023
79432^338645+150311101943Stefano Morozzi11/2021
79442^338645+28481101943Stefano Morozzi01/2022
79452^338647-77895101943Stefano Morozzi01/2022
79462^338647-84607101943Stefano Morozzi04/2022
79472^338647+164523101943Stefano Morozzi05/2022
79482^338645+64845101943Stefano Morozzi05/2022
79492^338644-35969101943Stefano Morozzi12/2022
79502^338645-15715101943Stefano Morozzi01/2023
79512^338641-152541101942Stefano Morozzi12/2021
79522^338643-56487101942Stefano Morozzi03/2022
79532^338642-186525101942Stefano Morozzi12/2022
79542^338643-41715101942Stefano Morozzi02/2023
79552^338638+100575101941Stefano Morozzi12/2021
79562^338639-127461101941Stefano Morozzi12/2021
79572^338640+187657101941Stefano Morozzi04/2022
79582^338640+44431101941Stefano Morozzi09/2022
79592^338635+1961101940Stefano Morozzi12/2021
79602^338637+102125101940Stefano Morozzi12/2021
79612^338636-135329101940Stefano Morozzi06/2022
79622^338635+199485101940Stefano Morozzi02/2023
796728594^3673+3673^28594101939Hans Havermann02/2019
79632^338631+110741101939Stefano Morozzi03/2022
79642^338631+112119101939Stefano Morozzi04/2022
79652^338634-83097101939Stefano Morozzi04/2022
79662^338633+139701101939Stefano Morozzi05/2022
79682^338630-150341101938Stefano Morozzi12/2021
79692^338630+12867101938Stefano Morozzi04/2022
79702^338629+42147101938Stefano Morozzi09/2022
79712^338628+121083101938Stefano Morozzi11/2022
79722^338630+147235101938Stefano Morozzi11/2022
79732^338628-37679101938Stefano Morozzi12/2022
79742^338629-41383101938Stefano Morozzi01/2023
79752^338628-91877101938Stefano Morozzi02/2023
79762^338626-105875101937Stefano Morozzi02/2022
79772^338625-111729101937Stefano Morozzi12/2022
79782^338627+49299101937Stefano Morozzi02/2023
79792^338621+33069101936Stefano Morozzi02/2022
79802^338623-106405101936Stefano Morozzi03/2022
79812^338621+61751101936Stefano Morozzi04/2022
79822^338623-86577101936Stefano Morozzi12/2022
79832^338620-150735101935Stefano Morozzi12/2021
79842^338619-27765101935Stefano Morozzi01/2022
79852^338619-77959101935Stefano Morozzi01/2022
79862^338619-186367101935Stefano Morozzi12/2022
79872^338618-64905101935Stefano Morozzi01/2023
79882^338615+151655101934Stefano Morozzi12/2021
79892^338616+5047101934Stefano Morozzi01/2022
79902^338616+39705101934Stefano Morozzi05/2022
79912^338617+149321101934Stefano Morozzi02/2023
79922^338611+76659101933Stefano Morozzi12/2021
79932^338613-109791101933Stefano Morozzi04/2022
79942^338612+119583101933Stefano Morozzi09/2022
79952^338611-140397101933Stefano Morozzi01/2023
79962^338614-39653101933Stefano Morozzi01/2023
79972^338609+130139101932Stefano Morozzi01/2022
79982^338609+131327101932Stefano Morozzi01/2022
79992^338608-155453101932Stefano Morozzi02/2022
80002^338609+161721101932Stefano Morozzi04/2022


Find by discoverer :


Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: July, 19 2024 15:29 (Time in France)

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