PRP Records

Probable Primes Top 10000

(291910 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 ?
65012^338808+7885101992Stefano Morozzi02/2022
65022^338808-105797101992Stefano Morozzi02/2022
65032^338807-35899101992Stefano Morozzi06/2022
65042^338808-89175101992Stefano Morozzi01/2023
65052^338808-91475101992Stefano Morozzi01/2023
65062^338805+29879101991Stefano Morozzi01/2022
65072^338805+157925101991Stefano Morozzi02/2022
65082^338804-6809101991Stefano Morozzi03/2022
65092^338806-157095101991Stefano Morozzi03/2022
65102^338804-133173101991Stefano Morozzi04/2022
65112^338805-115189101991Stefano Morozzi01/2023
65122^338802+150403101990Stefano Morozzi11/2021
65132^338801+154587101990Stefano Morozzi01/2022
65142^338802-180603101990Stefano Morozzi02/2022
65152^338803-31921101990Stefano Morozzi03/2022
65162^338803-81735101990Stefano Morozzi03/2022
65172^338803+195141101990Stefano Morozzi11/2022
65182^338800+160141101989Stefano Morozzi03/2022
65192^338797-82489101989Stefano Morozzi03/2022
65242^338796+93101988Donovan Johnson06/2008
65202^338795+455101988Stefano Morozzi11/2021
65212^338795-102075101988Stefano Morozzi12/2021
65222^338794-3483101988Stefano Morozzi01/2022
65232^338796+179641101988Stefano Morozzi01/2022
65252^338793-5155101987Stefano Morozzi02/2022
65262^338793+111107101987Stefano Morozzi03/2022
65272^338791+112083101987Stefano Morozzi04/2022
65282^338792-85097101987Stefano Morozzi06/2022
6529(61*10^101986+47)/9101987Robert Price07/2022
65302^338787+53309101986Stefano Morozzi01/2022
65312^338787-153817101986Stefano Morozzi01/2022
65322^338789+56229101986Stefano Morozzi01/2022
65332^338790+6429101986Stefano Morozzi01/2022
65342^338788+131701101986Stefano Morozzi02/2022
65352^338785+104639101985Stefano Morozzi01/2022
65362^338784+37591101985Stefano Morozzi04/2022
65372^338786-9831101985Stefano Morozzi04/2022
65382^338783+109065101984Stefano Morozzi03/2022
65392^338779+86711101983Stefano Morozzi04/2022
65402^338778+113589101983Stefano Morozzi05/2022
65412^338775-30369101982Stefano Morozzi02/2022
65422^338774+159135101982Stefano Morozzi03/2022
65432^338776+113001101982Stefano Morozzi04/2022
65442^338774+117039101982Stefano Morozzi09/2022
65452^338775+167109101982Stefano Morozzi09/2022
65462^338774+147595101982Stefano Morozzi11/2022
65472^338772+42733101981Stefano Morozzi09/2022
65482^338771-138805101981Stefano Morozzi12/2022
65492^338768-181007101980Stefano Morozzi02/2022
65502^338768+108807101980Stefano Morozzi03/2022
65512^338767+169155101980Stefano Morozzi09/2022
65522^338769+95369101980Stefano Morozzi11/2022
65532^338769+195965101980Stefano Morozzi11/2022
65542^338770-12725101980Stefano Morozzi12/2022
65552^338768-140843101980Stefano Morozzi01/2023
65562^338764+138013101979Stefano Morozzi04/2022
65572^338765-160323101979Stefano Morozzi06/2022
6562lucasU(1373,1,32502)-lucasU(1373,1,32501)101978Mike Oakes05/2009
65582^338761+103671101978Stefano Morozzi01/2022
65592^338763-7651101978Stefano Morozzi03/2022
65602^338763+65591101978Stefano Morozzi06/2022
65612^338762-111875101978Stefano Morozzi12/2022
65632^338757-5151101977Stefano Morozzi02/2022
65642^338760-79037101977Stefano Morozzi02/2022
65652^338757-82143101977Stefano Morozzi03/2022
65662^338757+137007101977Stefano Morozzi04/2022
65672^338755+158531101976Stefano Morozzi03/2022
65682^338752-153353101975Stefano Morozzi01/2022
65692^338751+8001101975Stefano Morozzi02/2022
65702^338752+32977101975Stefano Morozzi02/2022
65712^338753-79233101975Stefano Morozzi02/2022
65722^338752-88157101975Stefano Morozzi12/2022
65732^338750-175625101974Stefano Morozzi12/2021
65742^338747-2731101974Stefano Morozzi12/2021
65752^338750-29597101974Stefano Morozzi02/2022
65762^338748+35095101974Stefano Morozzi03/2022
65772^338747+137475101974Stefano Morozzi04/2022
65782^338747+162005101974Stefano Morozzi04/2022
65792^338750+162237101974Stefano Morozzi04/2022
65802^338747-184365101974Stefano Morozzi04/2022
65812^338748+64341101974Stefano Morozzi05/2022
65822^338746+59577101973Stefano Morozzi03/2022
65832^338746+62055101973Stefano Morozzi04/2022
65842^338744+194065101973Stefano Morozzi09/2022
65852^338741+25359101972Stefano Morozzi12/2021
65862^338743+176981101972Stefano Morozzi12/2021
65872^338741+183029101972Stefano Morozzi02/2022
65882^338743-130309101972Stefano Morozzi02/2022
65892^338741+86349101972Stefano Morozzi04/2022
65902^338741+111561101972Stefano Morozzi04/2022
65912^338743+172301101972Stefano Morozzi11/2022
65922^338741-189969101972Stefano Morozzi01/2023
65932^338739+76959101971Stefano Morozzi12/2021
65942^338739-105957101971Stefano Morozzi02/2022
65952^338739+190149101971Stefano Morozzi05/2022
65962^338738+64947101971Stefano Morozzi05/2022
65972^338740+119947101971Stefano Morozzi11/2022
65982^338740-186837101971Stefano Morozzi12/2022
65992^338737+127547101970Stefano Morozzi12/2021
66002^338737+128591101970Stefano Morozzi01/2022
66012^338735-153165101970Stefano Morozzi01/2022
66022^338734+13719101970Stefano Morozzi05/2022
66032^338734-138225101970Stefano Morozzi12/2022
66042^338735-186129101970Stefano Morozzi12/2022
661025295^10744+10744^25295101969Hans Havermann01/2019
661125712^9243+9243^25712101969Hans Havermann01/2019
66052^338731-150895101969Stefano Morozzi12/2021
66062^338731+54911101969Stefano Morozzi01/2022
66072^338731+85863101969Stefano Morozzi03/2022
66082^338732+185047101969Stefano Morozzi03/2022
66092^338733+193791101969Stefano Morozzi09/2022
66122^338729+69221101968Stefano Morozzi09/2022
66132^338728+123355101968Stefano Morozzi11/2022
66142^338730-87063101968Stefano Morozzi12/2022
66152^338726+128199101967Stefano Morozzi01/2022
66162^338727+127745101967Stefano Morozzi01/2022
66172^338724+32971101967Stefano Morozzi02/2022
66182^338727+189683101967Stefano Morozzi05/2022
66192^338727+118293101967Stefano Morozzi09/2022
66202^338723-76651101966Stefano Morozzi12/2021
66212^338721+79037101966Stefano Morozzi01/2022
66222^338723-132621101966Stefano Morozzi03/2022
66232^338722+137313101966Stefano Morozzi04/2022
66242^338722+162915101966Stefano Morozzi04/2022
66252^338718-126861101965Stefano Morozzi12/2021
66262^338718-109127101965Stefano Morozzi04/2022
6631(71^55079-1)/70101964Paul Bourdelais08/2017
66272^338714+30835101964Stefano Morozzi01/2022
66282^338714+156715101964Stefano Morozzi02/2022
66292^338715+19923101964Stefano Morozzi09/2022
66302^338716+173253101964Stefano Morozzi11/2022
66322^338711+125399101963Stefano Morozzi12/2021
66332^338713-30895101963Stefano Morozzi02/2022
66342^338712-132545101963Stefano Morozzi03/2022
66352^338713+87825101963Stefano Morozzi04/2022
66362^338712+190333101963Stefano Morozzi06/2022
66372^338709-154429101962Stefano Morozzi02/2022
66382^338710+140545101962Stefano Morozzi06/2022
66392^338706-102917101961Stefano Morozzi01/2022
66402^338705+34727101961Stefano Morozzi03/2022
66412^338706-165633101961Stefano Morozzi01/2023
66422^338707-116115101961Stefano Morozzi01/2023
66432^338698+104083101959Stefano Morozzi01/2022
66442^338700-184565101959Stefano Morozzi04/2022
66452^338700+189777101959Stefano Morozzi05/2022
66462^338698+41779101959Stefano Morozzi09/2022
66472^338699+148533101959Stefano Morozzi11/2022
66482^338700+97381101959Stefano Morozzi11/2022
66492^338696+181671101958Stefano Morozzi02/2022
66502^338697+146651101958Stefano Morozzi11/2022
66512^338692+106297101957Stefano Morozzi01/2022
66522^338692+33195101957Stefano Morozzi02/2022
66532^338692+110505101957Stefano Morozzi03/2022
66542^338692+190093101957Stefano Morozzi05/2022
66552^338692+173343101957Stefano Morozzi11/2022
66562^338693+144975101957Stefano Morozzi11/2022
66572^338688+82203101956Stefano Morozzi02/2022
66582^338689+82365101956Stefano Morozzi02/2022
66592^338686-81303101955Stefano Morozzi03/2022
66602^338687+40461101955Stefano Morozzi06/2022
66612^338687+65283101955Stefano Morozzi06/2022
66662^338682-19865101954Enzo Doria06/2013
6667(2^(112895*3+1)+243)/7101954Kevin Acres12/2013
6662(8*10^101954-269)/9101954Robert Price09/2021
66632^338683+50303101954Stefano Morozzi11/2021
66642^338682-107205101954Stefano Morozzi03/2022
66652^338682+13839101954Stefano Morozzi05/2022
66682^338678-180005101953Stefano Morozzi02/2022
66692^338680+15855101953Stefano Morozzi06/2022
66702^338678+93175101953Stefano Morozzi09/2022
66712^338674-175967101952Stefano Morozzi12/2021
66722^338677-177373101952Stefano Morozzi12/2021
66732^338677+102999101952Stefano Morozzi01/2022
66742^338676+33381101952Stefano Morozzi03/2022
66752^338677-82699101952Stefano Morozzi03/2022
66762^338676-34299101952Stefano Morozzi04/2022
66772^338675+188445101952Stefano Morozzi05/2022
66782^338676+165271101952Stefano Morozzi06/2022
66792^338674-187551101952Stefano Morozzi12/2022
66802^338671-55041101951Stefano Morozzi02/2022
66812^338673-80203101951Stefano Morozzi02/2022
66822^338672-182063101951Stefano Morozzi03/2022
66832^338672+36667101951Stefano Morozzi04/2022
66842^338668+2583101950Stefano Morozzi12/2021
66852^338670-157001101950Stefano Morozzi03/2022
66862^338669-8353101950Stefano Morozzi04/2022
66872^338670+40635101950Stefano Morozzi06/2022
6695(2^338666+3154)/2101949Stefano Morozzi09/2020
66882^338665+1577101949Stefano Morozzi12/2021
66892^338665-51133101949Stefano Morozzi12/2021
66902^338664+4345101949Stefano Morozzi01/2022
66912^338666-128943101949Stefano Morozzi01/2022
66922^338664+131535101949Stefano Morozzi01/2022
66932^338667+14943101949Stefano Morozzi05/2022
66942^338665+166637101949Stefano Morozzi09/2022
66962^338662+31587101948Stefano Morozzi02/2022
66972^338663-58375101948Stefano Morozzi04/2022
66982^338663-107869101948Stefano Morozzi04/2022
66992^338663+90435101948Stefano Morozzi06/2022
67002^338661+70457101948Stefano Morozzi11/2022
67012^338662+70519101948Stefano Morozzi11/2022
67022^338663-39447101948Stefano Morozzi01/2023
67032^338658-159191101947Stefano Morozzi04/2022
67042^338659-159687101947Stefano Morozzi04/2022
67052^338659+15543101947Stefano Morozzi05/2022
67062^338658+44395101947Stefano Morozzi09/2022
67072^338658+192537101947Stefano Morozzi09/2022
67082^338659-90531101947Stefano Morozzi01/2023
67092^338659-114759101947Stefano Morozzi01/2023
67102^338654+51027101946Stefano Morozzi12/2021
67112^338656-152115101946Stefano Morozzi12/2021
67122^338654+32415101946Stefano Morozzi02/2022
67132^338654+39799101946Stefano Morozzi05/2022
67142^338655+144579101946Stefano Morozzi09/2022
67152^338657+97509101946Stefano Morozzi11/2022
67162^338653+126629101945Stefano Morozzi12/2021
67172^338653+33279101945Stefano Morozzi02/2022
67182^338652-107097101945Stefano Morozzi03/2022
67192^338653+94475101945Stefano Morozzi09/2022
67202^338651+194073101945Stefano Morozzi09/2022
67212^338652-89157101945Stefano Morozzi01/2023
67222^338649-154663101944Stefano Morozzi02/2022
67232^338650+61399101944Stefano Morozzi04/2022
67242^338650-35655101944Stefano Morozzi06/2022
67252^338650+169623101944Stefano Morozzi09/2022
67262^338649-40743101944Stefano Morozzi01/2023
67272^338645+150311101943Stefano Morozzi11/2021
67282^338645+28481101943Stefano Morozzi01/2022
67292^338647-77895101943Stefano Morozzi01/2022
67302^338647-84607101943Stefano Morozzi04/2022
67312^338647+164523101943Stefano Morozzi05/2022
67322^338645+64845101943Stefano Morozzi05/2022
67332^338644-35969101943Stefano Morozzi12/2022
67342^338645-15715101943Stefano Morozzi01/2023
67352^338641-152541101942Stefano Morozzi12/2021
67362^338643-56487101942Stefano Morozzi03/2022
67372^338642-186525101942Stefano Morozzi12/2022
67382^338638+100575101941Stefano Morozzi12/2021
67392^338639-127461101941Stefano Morozzi12/2021
67402^338640+187657101941Stefano Morozzi04/2022
67412^338640+44431101941Stefano Morozzi09/2022
67422^338635+1961101940Stefano Morozzi12/2021
67432^338637+102125101940Stefano Morozzi12/2021
67442^338636-135329101940Stefano Morozzi06/2022
674928594^3673+3673^28594101939Hans Havermann02/2019
67452^338631+110741101939Stefano Morozzi03/2022
67462^338631+112119101939Stefano Morozzi04/2022
67472^338634-83097101939Stefano Morozzi04/2022
67482^338633+139701101939Stefano Morozzi05/2022
67502^338630-150341101938Stefano Morozzi12/2021


Find by discoverer :


Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: February, 02 2023 13:22 (Time in France)

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