PRP Records

Probable Primes Top 10000

(294613 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 ?
8254(2^338242+2782)/2101821Stefano Morozzi02/2021
82512^338241-155551101821Stefano Morozzi02/2022
82522^338242-108237101821Stefano Morozzi04/2022
82532^338242+43045101821Stefano Morozzi09/2022
82552^338238-126735101820Stefano Morozzi12/2021
82562^338238+183855101820Stefano Morozzi03/2022
82572^338238+141013101820Stefano Morozzi06/2022
82582^338237+97227101820Stefano Morozzi11/2022
82592^338238+48429101820Stefano Morozzi11/2022
82602^338234-80925101819Stefano Morozzi02/2022
82612^338234-154593101819Stefano Morozzi02/2022
82622^338235-131787101819Stefano Morozzi03/2022
82632^338233+89781101819Stefano Morozzi05/2022
82642^338235+169971101819Stefano Morozzi11/2022
82652^338233-113875101819Stefano Morozzi12/2022
8272(3*2^338236-1)/347101818Lelio R Paula03/2014
82662^338232-175539101818Stefano Morozzi12/2021
82672^338231+57345101818Stefano Morozzi02/2022
82682^338232+36097101818Stefano Morozzi03/2022
82692^338230+137403101818Stefano Morozzi04/2022
82702^338231-59569101818Stefano Morozzi04/2022
82712^338230-86633101818Stefano Morozzi12/2022
82732^338228+159247101817Stefano Morozzi03/2022
82742^338227-12631101817Stefano Morozzi12/2022
8275(34*10^101815+191)/9101816Robert Price08/2021
82762^338224+185461101816Stefano Morozzi03/2022
82772^338224+62295101816Stefano Morozzi04/2022
82782^338225+162645101816Stefano Morozzi04/2022
82792^338223+144209101816Stefano Morozzi09/2022
82866^130841+103101815Lelio R Paula10/2016
82802^338220+150405101815Stefano Morozzi11/2021
82812^338219-4147101815Stefano Morozzi01/2022
82822^338221+83391101815Stefano Morozzi02/2022
82832^338221+62937101815Stefano Morozzi04/2022
82842^338220-65697101815Stefano Morozzi01/2023
82852^338220-139505101815Stefano Morozzi01/2023
82872^338216+77473101814Stefano Morozzi12/2021
82882^338218+155299101814Stefano Morozzi01/2022
82892^338217-134745101814Stefano Morozzi04/2022
82902^338218+73507101814Stefano Morozzi11/2022
82912^338213-125631101813Stefano Morozzi12/2021
82922^338215+25845101813Stefano Morozzi12/2021
82932^338210-153537101812Stefano Morozzi01/2022
82942^338209+60915101812Stefano Morozzi03/2022
82952^338211-57297101812Stefano Morozzi03/2022
82962^338211-110257101812Stefano Morozzi06/2022
82972^338211+71549101812Stefano Morozzi11/2022
82982^338208-178787101811Stefano Morozzi01/2022
82992^338208+106153101811Stefano Morozzi01/2022
83002^338207+16499101811Stefano Morozzi06/2022
83012^338205+102471101810Stefano Morozzi12/2021
83022^338199-176377101809Stefano Morozzi12/2021
83032^338201-151233101809Stefano Morozzi12/2021
83042^338202-152061101809Stefano Morozzi12/2021
83052^338202+133785101809Stefano Morozzi03/2022
83062^338200+135643101809Stefano Morozzi03/2022
83072^338202+14169101809Stefano Morozzi05/2022
83082^338202-85211101809Stefano Morozzi06/2022
83092^338200+74265101809Stefano Morozzi02/2023
83102^338196+121147101808Stefano Morozzi11/2022
83112^338196+73551101808Stefano Morozzi11/2022
83122^338194-175845101807Stefano Morozzi12/2021
83132^338195+56771101807Stefano Morozzi02/2022
83142^338195+162365101807Stefano Morozzi04/2022
83152^338194+67497101807Stefano Morozzi09/2022
83162^338193-116335101807Stefano Morozzi01/2023
83172^338194-15585101807Stefano Morozzi01/2023
83182^338192+130387101806Stefano Morozzi01/2022
83192^338190+89359101806Stefano Morozzi05/2022
83202^338189+144605101806Stefano Morozzi09/2022
83212^338190-113537101806Stefano Morozzi12/2022
83222^338186+127245101805Stefano Morozzi12/2021
83232^338186-130013101805Stefano Morozzi02/2022
83242^338186+39235101805Stefano Morozzi05/2022
83252^338185+77315101804Stefano Morozzi12/2021
83262^338185+102519101804Stefano Morozzi12/2021
83272^338183-76539101804Stefano Morozzi12/2021
83282^338185+104489101804Stefano Morozzi01/2022
83292^338179+35361101803Stefano Morozzi03/2022
83302^338181+64235101803Stefano Morozzi05/2022
83312^338181+94047101803Stefano Morozzi09/2022
83322^338180+146131101803Stefano Morozzi11/2022
83332^338179+123399101803Stefano Morozzi11/2022
83342^338182-42425101803Stefano Morozzi02/2023
83352^338177+51807101802Stefano Morozzi12/2021
83362^338177+107385101802Stefano Morozzi02/2022
83372^338178+34287101802Stefano Morozzi03/2022
83382^338178+184207101802Stefano Morozzi03/2022
83392^338177-108901101802Stefano Morozzi04/2022
83402^338177+141569101802Stefano Morozzi06/2022
83412^338176+46221101802Stefano Morozzi11/2022
83422^338175+25161101801Stefano Morozzi11/2021
83432^338173-27901101801Stefano Morozzi01/2022
83442^338174+23217101801Stefano Morozzi11/2022
83452^338174+23793101801Stefano Morozzi11/2022
83462^338173-36183101801Stefano Morozzi12/2022
83472^338173-137053101801Stefano Morozzi12/2022
83482^338174-36797101801Stefano Morozzi12/2022
83492^338175-166509101801Stefano Morozzi01/2023
83502^338169-155965101800Stefano Morozzi02/2022
83512^338172+95797101800Stefano Morozzi11/2022
83522^338171-117987101800Stefano Morozzi02/2023
83532^338166+183237101799Stefano Morozzi02/2022
83542^338168-157835101799Stefano Morozzi03/2022
83552^338166+137107101799Stefano Morozzi04/2022
83562^338166+22897101799Stefano Morozzi11/2022
83572^338166-161123101799Stefano Morozzi12/2022
83582^338165-152139101798Stefano Morozzi12/2021
83592^338163-178947101798Stefano Morozzi02/2022
83602^338164-64329101798Stefano Morozzi01/2023
83612^338159-127575101797Stefano Morozzi12/2021
83622^338161+154259101797Stefano Morozzi01/2022
83632^338160+139947101797Stefano Morozzi05/2022
83642^338160+191815101797Stefano Morozzi09/2022
83652^338160+22207101797Stefano Morozzi11/2022
83662^338161+196157101797Stefano Morozzi11/2022
83672^338162-138635101797Stefano Morozzi12/2022
83682^338156-75269101796Stefano Morozzi12/2021
83692^338156-151247101796Stefano Morozzi12/2021
83702^338156+103273101796Stefano Morozzi01/2022
83712^338156+167053101796Stefano Morozzi09/2022
83722^338158+69303101796Stefano Morozzi09/2022
83732^338158+171189101796Stefano Morozzi11/2022
83742^338157-188989101796Stefano Morozzi12/2022
83752^338158-188711101796Stefano Morozzi12/2022
83762^338155+132621101795Stefano Morozzi02/2022
83772^338155-82605101795Stefano Morozzi03/2022
83782^338155-182631101795Stefano Morozzi03/2022
83792^338155+187755101795Stefano Morozzi04/2022
83802^338154-83975101795Stefano Morozzi04/2022
83812^338154+163759101795Stefano Morozzi05/2022
83822^338152-25767101794Stefano Morozzi12/2021
83832^338152+181927101794Stefano Morozzi02/2022
83842^338151+60779101794Stefano Morozzi03/2022
83852^338151+189149101794Stefano Morozzi05/2022
83862^338152+45567101794Stefano Morozzi11/2022
83872^338147+29343101793Stefano Morozzi01/2022
83882^338148+130803101793Stefano Morozzi01/2022
83892^338146+166167101793Stefano Morozzi06/2022
83902^338149-185073101793Stefano Morozzi06/2022
83912^338149+41757101793Stefano Morozzi09/2022
83922^338149+125015101793Stefano Morozzi02/2023
83932^338144+180697101792Stefano Morozzi01/2022
83942^338143+8589101792Stefano Morozzi02/2022
83952^338143-55611101792Stefano Morozzi02/2022
83962^338143+60623101792Stefano Morozzi03/2022
83972^338145-63609101792Stefano Morozzi12/2022
83982^338141-77301101791Stefano Morozzi12/2021
83992^338141+157145101791Stefano Morozzi02/2022
84002^338140+84745101791Stefano Morozzi03/2022
84012^338140+90073101791Stefano Morozzi05/2022
84022^338142+96583101791Stefano Morozzi11/2022
84032^338139-134719101790Stefano Morozzi04/2022
84042^338138+95443101790Stefano Morozzi11/2022
84052^338133+1445101789Stefano Morozzi12/2021
84062^338133+172469101789Stefano Morozzi11/2022
84072^338134+23235101789Stefano Morozzi11/2022
84082^338132+105643101788Stefano Morozzi01/2022
84092^338131+181871101788Stefano Morozzi02/2022
84102^338132-184539101788Stefano Morozzi04/2022
84112^338130+22383101788Stefano Morozzi11/2022
84122^338132+170143101788Stefano Morozzi11/2022
84132^338131-62599101788Stefano Morozzi12/2022
84142^338128+128953101787Stefano Morozzi01/2022
84152^338127+11021101787Stefano Morozzi03/2022
84162^338127+192935101787Stefano Morozzi09/2022
84172^338127+98621101787Stefano Morozzi11/2022
84182^338128+98853101787Stefano Morozzi02/2023
84192^338123-25959101786Stefano Morozzi12/2021
84202^338124-180765101786Stefano Morozzi02/2022
84212^338125-7129101786Stefano Morozzi03/2022
84222^338125-40071101786Stefano Morozzi01/2023
84262^338122-20117101785Enzo Doria06/2013
8427(2^338139+5)/905333101785Lelio R Paula12/2013
84232^338122+32799101785Stefano Morozzi02/2022
84242^338120+166411101785Stefano Morozzi06/2022
84252^338122+90705101785Stefano Morozzi06/2022
84282^338117+103761101784Stefano Morozzi01/2022
84292^338118+53817101784Stefano Morozzi01/2022
84302^338116+82585101784Stefano Morozzi02/2022
84312^338118+39483101784Stefano Morozzi05/2022
84322^338119+96659101784Stefano Morozzi11/2022
84332^338115+61083101783Stefano Morozzi03/2022
84342^338114+173287101783Stefano Morozzi11/2022
84352^338113-139681101783Stefano Morozzi01/2023
84362^338110-175365101782Stefano Morozzi12/2021
84372^338110-3963101782Stefano Morozzi01/2022
84382^338112+155061101782Stefano Morozzi01/2022
84392^338112+137335101782Stefano Morozzi04/2022
84402^338111-85627101782Stefano Morozzi06/2022
84412^338111-90145101782Stefano Morozzi01/2023
845035^65917-7092101781Enzo Doria03/2013
84422^338107-1221101781Stefano Morozzi12/2021
84432^338109+108539101781Stefano Morozzi03/2022
84442^338109-7261101781Stefano Morozzi03/2022
84452^338109-131961101781Stefano Morozzi03/2022
84462^338108+39585101781Stefano Morozzi05/2022
84472^338109+38147101781Stefano Morozzi05/2022
84482^338108+17301101781Stefano Morozzi09/2022
84492^338108-65859101781Stefano Morozzi01/2023
84512^338105+79599101780Stefano Morozzi01/2022
84522^338103-180675101780Stefano Morozzi02/2022
84532^338103+19499101780Stefano Morozzi09/2022
84542^338103-165319101780Stefano Morozzi01/2023
84552^338100-100389101779Stefano Morozzi12/2021
84562^338100+27595101779Stefano Morozzi12/2021
84572^338101+101139101779Stefano Morozzi12/2021
84582^338101+134985101779Stefano Morozzi03/2022
84592^338102+186135101779Stefano Morozzi03/2022
84602^338100+36885101779Stefano Morozzi04/2022
84612^338102-8151101779Stefano Morozzi04/2022
84622^338100+90637101779Stefano Morozzi06/2022
84632^338101+68505101779Stefano Morozzi09/2022
84642^338100-42867101779Stefano Morozzi02/2023
84652^338097+100229101778Stefano Morozzi11/2021
84662^338097-25695101778Stefano Morozzi12/2021
84672^338098-110043101778Stefano Morozzi06/2022
84682^338099-191389101778Stefano Morozzi01/2023
84692^338093-128403101777Stefano Morozzi01/2022
84702^338093+33051101777Stefano Morozzi02/2022
84712^338094+135555101777Stefano Morozzi03/2022
84722^338095-32395101777Stefano Morozzi03/2022
84732^338090-175353101776Stefano Morozzi12/2021
84742^338090+33277101776Stefano Morozzi02/2022
84752^338091-105601101776Stefano Morozzi02/2022
84762^338091-32127101776Stefano Morozzi03/2022
84772^338092+12873101776Stefano Morozzi04/2022
84782^338091-58485101776Stefano Morozzi04/2022
84792^338086+177643101775Stefano Morozzi12/2021
84802^338089+82905101775Stefano Morozzi02/2022
84812^338088+87565101775Stefano Morozzi04/2022
84822^338088-166205101775Stefano Morozzi01/2023
84832^338089-140053101775Stefano Morozzi01/2023
84842^338087+124935101775Stefano Morozzi02/2023
84852^338085-3301101774Stefano Morozzi01/2022
84862^338084+108691101774Stefano Morozzi03/2022
84872^338083+164369101774Stefano Morozzi05/2022
84882^338080+107521101773Stefano Morozzi02/2022
84892^338080-156917101773Stefano Morozzi03/2022
84902^338081+199775101773Stefano Morozzi02/2023
84912^338076+62311101772Stefano Morozzi04/2022
84922^338079+161745101772Stefano Morozzi04/2022
84932^338078-60075101772Stefano Morozzi06/2022
84942^338079+167079101772Stefano Morozzi09/2022
84952^338076+122535101772Stefano Morozzi11/2022
84962^338077+95619101772Stefano Morozzi11/2022
84972^338078+20539101772Stefano Morozzi11/2022
84982^338076-36813101772Stefano Morozzi12/2022
84992^338078-64911101772Stefano Morozzi01/2023
85002^338073-77971101771Stefano Morozzi01/2022


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: March, 04 2024 15:31 (Time in France)

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