PRP Records

Probable Primes Top 10000

(294113 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 ?
725425295^10744+10744^25295101969Hans Havermann01/2019
725525712^9243+9243^25712101969Hans Havermann01/2019
72512^338731+85863101969Stefano Morozzi03/2022
72522^338732+185047101969Stefano Morozzi03/2022
72532^338733+193791101969Stefano Morozzi09/2022
72562^338729+69221101968Stefano Morozzi09/2022
72572^338728+123355101968Stefano Morozzi11/2022
72582^338730-87063101968Stefano Morozzi12/2022
72592^338726+128199101967Stefano Morozzi01/2022
72602^338727+127745101967Stefano Morozzi01/2022
72612^338724+32971101967Stefano Morozzi02/2022
72622^338727+189683101967Stefano Morozzi05/2022
72632^338727+118293101967Stefano Morozzi09/2022
72642^338723-76651101966Stefano Morozzi12/2021
72652^338721+79037101966Stefano Morozzi01/2022
72662^338723-132621101966Stefano Morozzi03/2022
72672^338722+137313101966Stefano Morozzi04/2022
72682^338722+162915101966Stefano Morozzi04/2022
72692^338723+199161101966Stefano Morozzi02/2023
72702^338718-126861101965Stefano Morozzi12/2021
72712^338718-109127101965Stefano Morozzi04/2022
7276(71^55079-1)/70101964Paul Bourdelais08/2017
72722^338714+30835101964Stefano Morozzi01/2022
72732^338714+156715101964Stefano Morozzi02/2022
72742^338715+19923101964Stefano Morozzi09/2022
72752^338716+173253101964Stefano Morozzi11/2022
72772^338711+125399101963Stefano Morozzi12/2021
72782^338713-30895101963Stefano Morozzi02/2022
72792^338712-132545101963Stefano Morozzi03/2022
72802^338713+87825101963Stefano Morozzi04/2022
72812^338712+190333101963Stefano Morozzi06/2022
72822^338709-154429101962Stefano Morozzi02/2022
72832^338710+140545101962Stefano Morozzi06/2022
72842^338706-102917101961Stefano Morozzi01/2022
72852^338705+34727101961Stefano Morozzi03/2022
72862^338706-165633101961Stefano Morozzi01/2023
72872^338707-116115101961Stefano Morozzi01/2023
72882^338698+104083101959Stefano Morozzi01/2022
72892^338700-184565101959Stefano Morozzi04/2022
72902^338700+189777101959Stefano Morozzi05/2022
72912^338698+41779101959Stefano Morozzi09/2022
72922^338699+148533101959Stefano Morozzi11/2022
72932^338700+97381101959Stefano Morozzi11/2022
72942^338698-142181101959Stefano Morozzi02/2023
72952^338696+181671101958Stefano Morozzi02/2022
72962^338697+146651101958Stefano Morozzi11/2022
72972^338695-116977101958Stefano Morozzi02/2023
72982^338692+106297101957Stefano Morozzi01/2022
72992^338692+33195101957Stefano Morozzi02/2022
73002^338692+110505101957Stefano Morozzi03/2022
73012^338692+190093101957Stefano Morozzi05/2022
73022^338692+173343101957Stefano Morozzi11/2022
73032^338693+144975101957Stefano Morozzi11/2022
73042^338692+149281101957Stefano Morozzi02/2023
73052^338688+82203101956Stefano Morozzi02/2022
73062^338689+82365101956Stefano Morozzi02/2022
73072^338688-92159101956Stefano Morozzi02/2023
73082^338686-81303101955Stefano Morozzi03/2022
73092^338687+40461101955Stefano Morozzi06/2022
73102^338687+65283101955Stefano Morozzi06/2022
73162^338682-19865101954Enzo Doria06/2013
7317(2^(112895*3+1)+243)/7101954Kevin Acres12/2013
7311(8*10^101954-269)/9101954Robert Price09/2021
73122^338683+50303101954Stefano Morozzi11/2021
73132^338682-107205101954Stefano Morozzi03/2022
73142^338682+13839101954Stefano Morozzi05/2022
73152^338683-42837101954Stefano Morozzi02/2023
73182^338678-180005101953Stefano Morozzi02/2022
73192^338680+15855101953Stefano Morozzi06/2022
73202^338678+93175101953Stefano Morozzi09/2022
73212^338680+99217101953Stefano Morozzi02/2023
73222^338674-175967101952Stefano Morozzi12/2021
73232^338677-177373101952Stefano Morozzi12/2021
73242^338677+102999101952Stefano Morozzi01/2022
73252^338676+33381101952Stefano Morozzi03/2022
73262^338677-82699101952Stefano Morozzi03/2022
73272^338676-34299101952Stefano Morozzi04/2022
73282^338675+188445101952Stefano Morozzi05/2022
73292^338676+165271101952Stefano Morozzi06/2022
73302^338674-187551101952Stefano Morozzi12/2022
73312^338676-42243101952Stefano Morozzi02/2023
73322^338671-55041101951Stefano Morozzi02/2022
73332^338673-80203101951Stefano Morozzi02/2022
73342^338672-182063101951Stefano Morozzi03/2022
73352^338672+36667101951Stefano Morozzi04/2022
73362^338668+2583101950Stefano Morozzi12/2021
73372^338670-157001101950Stefano Morozzi03/2022
73382^338669-8353101950Stefano Morozzi04/2022
73392^338670+40635101950Stefano Morozzi06/2022
7347(2^338666+3154)/2101949Stefano Morozzi09/2020
73402^338665+1577101949Stefano Morozzi12/2021
73412^338665-51133101949Stefano Morozzi12/2021
73422^338664+4345101949Stefano Morozzi01/2022
73432^338666-128943101949Stefano Morozzi01/2022
73442^338664+131535101949Stefano Morozzi01/2022
73452^338667+14943101949Stefano Morozzi05/2022
73462^338665+166637101949Stefano Morozzi09/2022
73482^338662+31587101948Stefano Morozzi02/2022
73492^338663-58375101948Stefano Morozzi04/2022
73502^338663-107869101948Stefano Morozzi04/2022
73512^338663+90435101948Stefano Morozzi06/2022
73522^338661+70457101948Stefano Morozzi11/2022
73532^338662+70519101948Stefano Morozzi11/2022
73542^338663-39447101948Stefano Morozzi01/2023
73552^338658-159191101947Stefano Morozzi04/2022
73562^338659-159687101947Stefano Morozzi04/2022
73572^338659+15543101947Stefano Morozzi05/2022
73582^338658+44395101947Stefano Morozzi09/2022
73592^338658+192537101947Stefano Morozzi09/2022
73602^338659-90531101947Stefano Morozzi01/2023
73612^338659-114759101947Stefano Morozzi01/2023
73622^338659+124079101947Stefano Morozzi02/2023
73632^338654+51027101946Stefano Morozzi12/2021
73642^338656-152115101946Stefano Morozzi12/2021
73652^338654+32415101946Stefano Morozzi02/2022
73662^338654+39799101946Stefano Morozzi05/2022
73672^338655+144579101946Stefano Morozzi09/2022
73682^338657+97509101946Stefano Morozzi11/2022
73692^338653+126629101945Stefano Morozzi12/2021
73702^338653+33279101945Stefano Morozzi02/2022
73712^338652-107097101945Stefano Morozzi03/2022
73722^338653+94475101945Stefano Morozzi09/2022
73732^338651+194073101945Stefano Morozzi09/2022
73742^338652-89157101945Stefano Morozzi01/2023
73752^338649-154663101944Stefano Morozzi02/2022
73762^338650+61399101944Stefano Morozzi04/2022
73772^338650-35655101944Stefano Morozzi06/2022
73782^338650+169623101944Stefano Morozzi09/2022
73792^338649-40743101944Stefano Morozzi01/2023
73802^338645+150311101943Stefano Morozzi11/2021
73812^338645+28481101943Stefano Morozzi01/2022
73822^338647-77895101943Stefano Morozzi01/2022
73832^338647-84607101943Stefano Morozzi04/2022
73842^338647+164523101943Stefano Morozzi05/2022
73852^338645+64845101943Stefano Morozzi05/2022
73862^338644-35969101943Stefano Morozzi12/2022
73872^338645-15715101943Stefano Morozzi01/2023
73882^338641-152541101942Stefano Morozzi12/2021
73892^338643-56487101942Stefano Morozzi03/2022
73902^338642-186525101942Stefano Morozzi12/2022
73912^338643-41715101942Stefano Morozzi02/2023
73922^338638+100575101941Stefano Morozzi12/2021
73932^338639-127461101941Stefano Morozzi12/2021
73942^338640+187657101941Stefano Morozzi04/2022
73952^338640+44431101941Stefano Morozzi09/2022
73962^338635+1961101940Stefano Morozzi12/2021
73972^338637+102125101940Stefano Morozzi12/2021
73982^338636-135329101940Stefano Morozzi06/2022
73992^338635+199485101940Stefano Morozzi02/2023
740428594^3673+3673^28594101939Hans Havermann02/2019
74002^338631+110741101939Stefano Morozzi03/2022
74012^338631+112119101939Stefano Morozzi04/2022
74022^338634-83097101939Stefano Morozzi04/2022
74032^338633+139701101939Stefano Morozzi05/2022
74052^338630-150341101938Stefano Morozzi12/2021
74062^338630+12867101938Stefano Morozzi04/2022
74072^338629+42147101938Stefano Morozzi09/2022
74082^338628+121083101938Stefano Morozzi11/2022
74092^338630+147235101938Stefano Morozzi11/2022
74102^338628-37679101938Stefano Morozzi12/2022
74112^338629-41383101938Stefano Morozzi01/2023
74122^338628-91877101938Stefano Morozzi02/2023
74132^338626-105875101937Stefano Morozzi02/2022
74142^338625-111729101937Stefano Morozzi12/2022
74152^338627+49299101937Stefano Morozzi02/2023
74162^338621+33069101936Stefano Morozzi02/2022
74172^338623-106405101936Stefano Morozzi03/2022
74182^338621+61751101936Stefano Morozzi04/2022
74192^338623-86577101936Stefano Morozzi12/2022
74202^338620-150735101935Stefano Morozzi12/2021
74212^338619-27765101935Stefano Morozzi01/2022
74222^338619-77959101935Stefano Morozzi01/2022
74232^338619-186367101935Stefano Morozzi12/2022
74242^338618-64905101935Stefano Morozzi01/2023
74252^338615+151655101934Stefano Morozzi12/2021
74262^338616+5047101934Stefano Morozzi01/2022
74272^338616+39705101934Stefano Morozzi05/2022
74282^338617+149321101934Stefano Morozzi02/2023
74292^338611+76659101933Stefano Morozzi12/2021
74302^338613-109791101933Stefano Morozzi04/2022
74312^338612+119583101933Stefano Morozzi09/2022
74322^338611-140397101933Stefano Morozzi01/2023
74332^338614-39653101933Stefano Morozzi01/2023
74342^338609+130139101932Stefano Morozzi01/2022
74352^338609+131327101932Stefano Morozzi01/2022
74362^338608-155453101932Stefano Morozzi02/2022
74372^338609+161721101932Stefano Morozzi04/2022
74382^338609-10405101932Stefano Morozzi06/2022
74392^338608+94017101932Stefano Morozzi09/2022
74402^338610+170515101932Stefano Morozzi11/2022
74412^338607+30611101931Stefano Morozzi01/2022
74422^338607+106695101931Stefano Morozzi02/2022
74432^338606-32291101931Stefano Morozzi03/2022
74442^338606+15195101931Stefano Morozzi05/2022
74452^338605+197789101931Stefano Morozzi11/2022
74462^338607-90621101931Stefano Morozzi01/2023
74472^338603-1195101930Stefano Morozzi12/2021
74482^338601+108867101930Stefano Morozzi03/2022
74492^338603+34311101930Stefano Morozzi03/2022
74502^338598+57127101929Stefano Morozzi02/2022
74512^338598+162645101929Stefano Morozzi04/2022
74522^338599+43445101929Stefano Morozzi09/2022
74532^338599+19485101929Stefano Morozzi09/2022
74542^338598+46195101929Stefano Morozzi11/2022
74552^338600-36393101929Stefano Morozzi12/2022
74562^338596-1739101928Stefano Morozzi12/2021
74572^338595-78687101928Stefano Morozzi01/2022
74582^338595+181683101928Stefano Morozzi02/2022
74592^338597-106045101928Stefano Morozzi02/2022
74602^338595+119565101928Stefano Morozzi09/2022
74612^338595+19623101928Stefano Morozzi09/2022
74622^338595+21711101928Stefano Morozzi11/2022
74632^338596-111129101928Stefano Morozzi12/2022
74642^338591+53769101927Stefano Morozzi01/2022
74652^338593+156989101927Stefano Morozzi02/2022
74662^338592+36157101927Stefano Morozzi03/2022
74672^338593+42099101927Stefano Morozzi09/2022
74682^338591+46685101927Stefano Morozzi11/2022
74692^338593+120437101927Stefano Morozzi11/2022
74702^338591-165517101927Stefano Morozzi01/2023
74712^338592-166107101927Stefano Morozzi01/2023
74722^338592-189249101927Stefano Morozzi01/2023
74732^338594-40493101927Stefano Morozzi01/2023
74742^338590+182007101926Stefano Morozzi02/2022
74752^338590+60747101926Stefano Morozzi03/2022
74762^338588+62397101926Stefano Morozzi04/2022
74772^338589-9685101926Stefano Morozzi04/2022
74782^338588+73765101926Stefano Morozzi02/2023
74792^338589-16915101926Stefano Morozzi02/2023
7486(2^338587+2306)/2101925Stefano Morozzi02/2021
74802^338586+1153101925Stefano Morozzi12/2021
74812^338587-51709101925Stefano Morozzi12/2021
74822^338586+105303101925Stefano Morozzi01/2022
74832^338585-131773101925Stefano Morozzi03/2022
74842^338587+168039101925Stefano Morozzi09/2022
74852^338585-140719101925Stefano Morozzi01/2023
74872^338584+100771101924Stefano Morozzi11/2021
74882^338581-150415101924Stefano Morozzi12/2021
74892^338581-2349101924Stefano Morozzi12/2021
74902^338582+42933101924Stefano Morozzi09/2022
74912^338584+93267101924Stefano Morozzi09/2022
74922^338582-86697101924Stefano Morozzi12/2022
74932^338582-138035101924Stefano Morozzi12/2022
74942^338584-115569101924Stefano Morozzi01/2023
74952^338581-92793101924Stefano Morozzi02/2023
74962^338578+67593101923Stefano Morozzi09/2022
74972^338580+142201101923Stefano Morozzi09/2022
74982^338579-14635101923Stefano Morozzi01/2023
74992^338579-164985101923Stefano Morozzi01/2023
75002^338575-28815101922Stefano Morozzi01/2022


Find by discoverer :


Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: December, 05 2023 08:12 (Time in France)

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