Primality Certificates

Generalized repunit primes

Number Digits Bits N-1 Fact. % Proof Data Files
(6384713339-1)/63846 64091 212906 31.59 KP KP result, N-1 BLS trial, helper, factorization (N-1), certificate data files, prime factor cert
(2637113681-1)/26370 60481 200914 32.43 KP KP result, N-1 BLS trial, helper, factorization (N-1), certificate data files, prime factor cert
(452916381-1)/4528 59886 198935 28.6856 CHG CHG result, N-1 BLS trial, helper, factorization (N-1), certificate data files
(908215091-1)/9081 59729 198416 27.1206 CHG CHG result, N-1 BLS trial, helper, factorization (N-1), certificate data files
(3828411491-1)/38283 52659 174929 27.1549 CHG CHG result, N-1 BLS trial, helper, factorization (N-1), certificate data files, prime factor cert
(3412011311-1)/34119 51269 170310 29.6052 CHG CHG result, N-1 BLS trial, helper, factorization (N-1), certificate data files, prime factor cert
(325569283-1)/32555 41887 139144 29.2427 CHG CHG result, N-1 BLS trial, helper, factorization (N-1), certificate data files, prime factor cert
(154912973-1)/1548 41382 137466 33.54 BLS certificate, helper, factorization (N-1), prime factor cert
(8911971-1)/88 23335 77515 25.6425 CHG CHG result, N-1 BLS trial, helper, factorization (N-1), certificate data files
(94734969-1)/9472 19756 65626 25.6079 CHG CHG result, N-1 BLS trial, helper, factorization (N-1), certificate data files
(29633821-1)/2962 13263 44056 26.6709 CHG CHG result, N-1 BLS trial, helper, factorization (N-1), certificate data files
(21533877-1)/2152 12919 42916 38.6 BLS certificate, helper, factorization (N-1), prime factor certs
(6614363-1)/660 12302 40866 33.6 BLS certificate, helper, factorization (N-1), prime factor certs
(61132767-1)/6112 10473 34790 33.7171 BLS certificate, helper, factorization (N-1), prime factor certs
(642832161-1)/64282 10386 34500 28.0657 CHG CHG result, N-1 BLS trial, helper, factorization (N-1), certificate data files
(28792851-1)/2878 9859 32751 28.1548 CHG CHG result, N-1 BLS trial, helper, factorization (N-1), certificate data files
(95392341-1)/9538 9313 30934 29.2301 CHG CHG result, N-1 BLS trial, helper, factorization (N-1), certificate data files
(3951471009-1)/395146 5642 18741 33.3821 BLS certificate, helper, factorization (N-1), prime factor certs
(4671933-1)/466 5158 17132 28.3167 CHG CHG result, N-1 BLS trial, helper, factorization (N-1), certificate data files
(28371429-1)/2836 4931 16380 31.13 KP KP result, N-1 BLS trial, helper, factorization (N-1), certificate data files
(36683937-1)/36682 4273 14193 33.3877 BLS certificate, helper, factorization (N-1), prime factor certs
(7559937-1)/7558 3631 12060 36.1774 BLS certificate, helper, factorization (N-1), prime factor certs
(4079977-1)/4078 3524 11707 N/A ECPP certificate
(22071051-1)/2206 3511 11664 33.268 BLS N-1: N-1 BLS trial, certificate (N-1), helper (N-1)
N2-1: certificate (N-1/N+1), helper (N-1/N+1)
factorization (N-1/N+1)
(3167701-1)/3166 2451 8141 33.4072 BLS certificate, helper, factorization (N-1)
(53407-1)/4 2381 7909 N/A ECPP certificate