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 ?
72512^338267+110481101829Stefano Morozzi03/2022
72522^338267-166035101829Stefano Morozzi01/2023
72532^338265-154893101828Stefano Morozzi02/2022
72542^338264+163611101828Stefano Morozzi05/2022
72552^338263-62767101828Stefano Morozzi12/2022
72562^338261-188119101827Stefano Morozzi12/2022
72572^338259-40327101827Stefano Morozzi01/2023
72582^338256+5223101826Stefano Morozzi01/2022
72592^338257+178425101826Stefano Morozzi01/2022
72602^338256-180569101826Stefano Morozzi02/2022
72612^338257-5965101826Stefano Morozzi02/2022
72622^338258-9225101826Stefano Morozzi04/2022
72632^338255-127021101825Stefano Morozzi12/2021
72642^338253+159005101825Stefano Morozzi03/2022
72652^338253+64817101825Stefano Morozzi05/2022
72662^338254-85403101825Stefano Morozzi06/2022
72672^338254+142947101825Stefano Morozzi09/2022
72682^338253+121095101825Stefano Morozzi11/2022
72692^338254+196725101825Stefano Morozzi11/2022
72702^338254-91007101825Stefano Morozzi01/2023
72712^338251+78975101824Stefano Morozzi01/2022
72722^338252-178709101824Stefano Morozzi01/2022
72732^338252+129703101824Stefano Morozzi01/2022
72742^338252+132285101824Stefano Morozzi02/2022
72752^338251-33381101824Stefano Morozzi04/2022
72762^338252-13805101824Stefano Morozzi12/2022
72772^338245-134755101822Stefano Morozzi04/2022
72782^338244-59219101822Stefano Morozzi04/2022
72792^338244-64703101822Stefano Morozzi01/2023
7287(2^338242+2782)/2101821Stefano Morozzi02/2021
72802^338241+1391101821Stefano Morozzi12/2021
72812^338242+151195101821Stefano Morozzi12/2021
72822^338240-152495101821Stefano Morozzi12/2021
72832^338240+81745101821Stefano Morozzi02/2022
72842^338241-155551101821Stefano Morozzi02/2022
72852^338242-108237101821Stefano Morozzi04/2022
72862^338242+43045101821Stefano Morozzi09/2022
72882^338238-126735101820Stefano Morozzi12/2021
72892^338238+183855101820Stefano Morozzi03/2022
72902^338238+141013101820Stefano Morozzi06/2022
72912^338237+97227101820Stefano Morozzi11/2022
72922^338238+48429101820Stefano Morozzi11/2022
72932^338234-80925101819Stefano Morozzi02/2022
72942^338234-154593101819Stefano Morozzi02/2022
72952^338235-131787101819Stefano Morozzi03/2022
72962^338233+89781101819Stefano Morozzi05/2022
72972^338235+169971101819Stefano Morozzi11/2022
72982^338233-113875101819Stefano Morozzi12/2022
7305(3*2^338236-1)/347101818Lelio R Paula03/2014
72992^338232-175539101818Stefano Morozzi12/2021
73002^338231+57345101818Stefano Morozzi02/2022
73012^338232+36097101818Stefano Morozzi03/2022
73022^338230+137403101818Stefano Morozzi04/2022
73032^338231-59569101818Stefano Morozzi04/2022
73042^338230-86633101818Stefano Morozzi12/2022
73062^338228+159247101817Stefano Morozzi03/2022
73072^338227-12631101817Stefano Morozzi12/2022
7308(34*10^101815+191)/9101816Robert Price08/2021
73092^338224+185461101816Stefano Morozzi03/2022
73102^338224+62295101816Stefano Morozzi04/2022
73112^338225+162645101816Stefano Morozzi04/2022
73122^338223+144209101816Stefano Morozzi09/2022
73196^130841+103101815Lelio R Paula10/2016
73132^338220+150405101815Stefano Morozzi11/2021
73142^338219-4147101815Stefano Morozzi01/2022
73152^338221+83391101815Stefano Morozzi02/2022
73162^338221+62937101815Stefano Morozzi04/2022
73172^338220-65697101815Stefano Morozzi01/2023
73182^338220-139505101815Stefano Morozzi01/2023
73202^338216+77473101814Stefano Morozzi12/2021
73212^338218+155299101814Stefano Morozzi01/2022
73222^338217-134745101814Stefano Morozzi04/2022
73232^338218+73507101814Stefano Morozzi11/2022
73242^338213-125631101813Stefano Morozzi12/2021
73252^338215+25845101813Stefano Morozzi12/2021
73262^338210-153537101812Stefano Morozzi01/2022
73272^338209+60915101812Stefano Morozzi03/2022
73282^338211-57297101812Stefano Morozzi03/2022
73292^338211-110257101812Stefano Morozzi06/2022
73302^338211+71549101812Stefano Morozzi11/2022
73312^338208-178787101811Stefano Morozzi01/2022
73322^338208+106153101811Stefano Morozzi01/2022
73332^338207+16499101811Stefano Morozzi06/2022
73342^338205+102471101810Stefano Morozzi12/2021
73352^338199-176377101809Stefano Morozzi12/2021
73362^338201-151233101809Stefano Morozzi12/2021
73372^338202-152061101809Stefano Morozzi12/2021
73382^338202+133785101809Stefano Morozzi03/2022
73392^338200+135643101809Stefano Morozzi03/2022
73402^338202+14169101809Stefano Morozzi05/2022
73412^338202-85211101809Stefano Morozzi06/2022
73422^338196+121147101808Stefano Morozzi11/2022
73432^338196+73551101808Stefano Morozzi11/2022
73442^338194-175845101807Stefano Morozzi12/2021
73452^338195+56771101807Stefano Morozzi02/2022
73462^338195+162365101807Stefano Morozzi04/2022
73472^338194+67497101807Stefano Morozzi09/2022
73482^338193-116335101807Stefano Morozzi01/2023
73492^338194-15585101807Stefano Morozzi01/2023
73502^338192+130387101806Stefano Morozzi01/2022
73512^338190+89359101806Stefano Morozzi05/2022
73522^338189+144605101806Stefano Morozzi09/2022
73532^338190-113537101806Stefano Morozzi12/2022
73542^338186+127245101805Stefano Morozzi12/2021
73552^338186-130013101805Stefano Morozzi02/2022
73562^338186+39235101805Stefano Morozzi05/2022
73572^338185+77315101804Stefano Morozzi12/2021
73582^338185+102519101804Stefano Morozzi12/2021
73592^338183-76539101804Stefano Morozzi12/2021
73602^338185+104489101804Stefano Morozzi01/2022
73612^338179+35361101803Stefano Morozzi03/2022
73622^338181+64235101803Stefano Morozzi05/2022
73632^338181+94047101803Stefano Morozzi09/2022
73642^338180+146131101803Stefano Morozzi11/2022
73652^338179+123399101803Stefano Morozzi11/2022
73662^338177+51807101802Stefano Morozzi12/2021
73672^338177+107385101802Stefano Morozzi02/2022
73682^338178+34287101802Stefano Morozzi03/2022
73692^338178+184207101802Stefano Morozzi03/2022
73702^338177-108901101802Stefano Morozzi04/2022
73712^338177+141569101802Stefano Morozzi06/2022
73722^338176+46221101802Stefano Morozzi11/2022
73732^338175+25161101801Stefano Morozzi11/2021
73742^338173-27901101801Stefano Morozzi01/2022
73752^338174+23217101801Stefano Morozzi11/2022
73762^338174+23793101801Stefano Morozzi11/2022
73772^338173-36183101801Stefano Morozzi12/2022
73782^338173-137053101801Stefano Morozzi12/2022
73792^338174-36797101801Stefano Morozzi12/2022
73802^338175-166509101801Stefano Morozzi01/2023
73812^338169-155965101800Stefano Morozzi02/2022
73822^338172+95797101800Stefano Morozzi11/2022
73832^338166+183237101799Stefano Morozzi02/2022
73842^338168-157835101799Stefano Morozzi03/2022
73852^338166+137107101799Stefano Morozzi04/2022
73862^338166+22897101799Stefano Morozzi11/2022
73872^338166-161123101799Stefano Morozzi12/2022
73882^338165-152139101798Stefano Morozzi12/2021
73892^338163-178947101798Stefano Morozzi02/2022
73902^338164-64329101798Stefano Morozzi01/2023
73912^338159-127575101797Stefano Morozzi12/2021
73922^338161+154259101797Stefano Morozzi01/2022
73932^338160+139947101797Stefano Morozzi05/2022
73942^338160+191815101797Stefano Morozzi09/2022
73952^338160+22207101797Stefano Morozzi11/2022
73962^338161+196157101797Stefano Morozzi11/2022
73972^338162-138635101797Stefano Morozzi12/2022
73982^338156-75269101796Stefano Morozzi12/2021
73992^338156-151247101796Stefano Morozzi12/2021
74002^338156+103273101796Stefano Morozzi01/2022
74012^338156+167053101796Stefano Morozzi09/2022
74022^338158+69303101796Stefano Morozzi09/2022
74032^338158+171189101796Stefano Morozzi11/2022
74042^338157-188989101796Stefano Morozzi12/2022
74052^338158-188711101796Stefano Morozzi12/2022
74062^338155+132621101795Stefano Morozzi02/2022
74072^338155-82605101795Stefano Morozzi03/2022
74082^338155-182631101795Stefano Morozzi03/2022
74092^338155+187755101795Stefano Morozzi04/2022
74102^338154-83975101795Stefano Morozzi04/2022
74112^338154+163759101795Stefano Morozzi05/2022
74122^338152-25767101794Stefano Morozzi12/2021
74132^338152+181927101794Stefano Morozzi02/2022
74142^338151+60779101794Stefano Morozzi03/2022
74152^338151+189149101794Stefano Morozzi05/2022
74162^338152+45567101794Stefano Morozzi11/2022
74172^338147+29343101793Stefano Morozzi01/2022
74182^338148+130803101793Stefano Morozzi01/2022
74192^338146+166167101793Stefano Morozzi06/2022
74202^338149-185073101793Stefano Morozzi06/2022
74212^338149+41757101793Stefano Morozzi09/2022
74222^338144+180697101792Stefano Morozzi01/2022
74232^338143+8589101792Stefano Morozzi02/2022
74242^338143-55611101792Stefano Morozzi02/2022
74252^338143+60623101792Stefano Morozzi03/2022
74262^338145-63609101792Stefano Morozzi12/2022
74272^338141-77301101791Stefano Morozzi12/2021
74282^338141+157145101791Stefano Morozzi02/2022
74292^338140+84745101791Stefano Morozzi03/2022
74302^338140+90073101791Stefano Morozzi05/2022
74312^338142+96583101791Stefano Morozzi11/2022
74322^338139-134719101790Stefano Morozzi04/2022
74332^338138+95443101790Stefano Morozzi11/2022
74342^338133+1445101789Stefano Morozzi12/2021
74352^338133+172469101789Stefano Morozzi11/2022
74362^338134+23235101789Stefano Morozzi11/2022
74372^338132+105643101788Stefano Morozzi01/2022
74382^338131+181871101788Stefano Morozzi02/2022
74392^338132-184539101788Stefano Morozzi04/2022
74402^338130+22383101788Stefano Morozzi11/2022
74412^338132+170143101788Stefano Morozzi11/2022
74422^338131-62599101788Stefano Morozzi12/2022
74432^338128+128953101787Stefano Morozzi01/2022
74442^338127+11021101787Stefano Morozzi03/2022
74452^338127+192935101787Stefano Morozzi09/2022
74462^338127+98621101787Stefano Morozzi11/2022
74472^338123-25959101786Stefano Morozzi12/2021
74482^338124-180765101786Stefano Morozzi02/2022
74492^338125-7129101786Stefano Morozzi03/2022
74502^338125-40071101786Stefano Morozzi01/2023
74542^338122-20117101785Enzo Doria06/2013
7455(2^338139+5)/905333101785Lelio R Paula12/2013
74512^338122+32799101785Stefano Morozzi02/2022
74522^338120+166411101785Stefano Morozzi06/2022
74532^338122+90705101785Stefano Morozzi06/2022
74562^338117+103761101784Stefano Morozzi01/2022
74572^338118+53817101784Stefano Morozzi01/2022
74582^338116+82585101784Stefano Morozzi02/2022
74592^338118+39483101784Stefano Morozzi05/2022
74602^338119+96659101784Stefano Morozzi11/2022
74612^338115+61083101783Stefano Morozzi03/2022
74622^338114+173287101783Stefano Morozzi11/2022
74632^338113-139681101783Stefano Morozzi01/2023
74642^338110-175365101782Stefano Morozzi12/2021
74652^338110-3963101782Stefano Morozzi01/2022
74662^338112+155061101782Stefano Morozzi01/2022
74672^338112+137335101782Stefano Morozzi04/2022
74682^338111-85627101782Stefano Morozzi06/2022
74692^338111-90145101782Stefano Morozzi01/2023
747835^65917-7092101781Enzo Doria03/2013
74702^338107-1221101781Stefano Morozzi12/2021
74712^338109+108539101781Stefano Morozzi03/2022
74722^338109-7261101781Stefano Morozzi03/2022
74732^338109-131961101781Stefano Morozzi03/2022
74742^338108+39585101781Stefano Morozzi05/2022
74752^338109+38147101781Stefano Morozzi05/2022
74762^338108+17301101781Stefano Morozzi09/2022
74772^338108-65859101781Stefano Morozzi01/2023
74792^338105+79599101780Stefano Morozzi01/2022
74802^338103-180675101780Stefano Morozzi02/2022
74812^338103+19499101780Stefano Morozzi09/2022
74822^338103-165319101780Stefano Morozzi01/2023
74832^338100-100389101779Stefano Morozzi12/2021
74842^338100+27595101779Stefano Morozzi12/2021
74852^338101+101139101779Stefano Morozzi12/2021
74862^338101+134985101779Stefano Morozzi03/2022
74872^338102+186135101779Stefano Morozzi03/2022
74882^338100+36885101779Stefano Morozzi04/2022
74892^338102-8151101779Stefano Morozzi04/2022
74902^338100+90637101779Stefano Morozzi06/2022
74912^338101+68505101779Stefano Morozzi09/2022
74922^338097+100229101778Stefano Morozzi11/2021
74932^338097-25695101778Stefano Morozzi12/2021
74942^338098-110043101778Stefano Morozzi06/2022
74952^338099-191389101778Stefano Morozzi01/2023
74962^338093-128403101777Stefano Morozzi01/2022
74972^338093+33051101777Stefano Morozzi02/2022
74982^338094+135555101777Stefano Morozzi03/2022
74992^338095-32395101777Stefano Morozzi03/2022
75002^338090-175353101776Stefano Morozzi12/2021


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

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