Primality Certificates

Generalized repunit primes

Number	Digits	Bits	N-1 Fact. %	Proof	Data Files
(9236524691-1)/92364	122599	407263	26.8674	CHG	CHG result, N-1 BLS trial, helper, factorization (N-1), certificate data files
(10293621961-1)/102935	110076	365665	28.904	CHG	CHG result, N-1 BLS trial, helper, factorization (N-1), certificate data files
(717624691-1)/7175	95202	316254	27.0172	CHG	CHG result, N-1 BLS trial, helper, factorization (N-1), certificate data files, prime factor cert
(4073416111-1)/40733	74267	246708	27.4582	CHG	CHG result, N-1 BLS trial, helper, factorization (N-1), certificate data files, prime factor cert
(6475815373-1)/64757	73960	245688	32	KP	KP result, N-1 BLS trial, helper, factorization (N-1), certificate data files
(5872915091-1)/58728	71962	239053	27.1102	CHG	CHG result, N-1 BLS trial, helper, factorization (N-1), certificate data files, prime factor cert
(2334015439-1)/23339	67435	224014	33.55	BLS	certificate, helper, factorization (N-1), prime factor cert
(2474115073-1)/24740	66218	219971	34.1	BLS	certificate, helper, factorization (N-1), prime factor cert
(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
(4332612041-1)/43325	55827	185452	35	BLS	certificate, helper, factorization (N-1), prime factor cert
(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
(5009110357-1)/50090	48671	161681	33.63	BLS	certificate, helper, factorization (N-1), prime factor cert
(4449710093-1)/44496	46911	155835	34.57	BLS	certificate, helper, factorization (N-1), prime factor cert
(185213477-1)/1851	44035	146281	33.64	BLS	certificate, helper, factorization (N-1), prime factor cert
(424179337-1)/42416	43203	143517	33.8572	BLS	certificate, helper, factorization (N-1), prime factor cert
(362109319-1)/36209	42480	141113	33.5	BLS	certificate, helper, factorization (N-1), 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
(131179151-1)/13116	37679	125165	29.6341	CHG	CHG result, N-1 BLS trial, helper, factorization (N-1), certificate data files
(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