Primality Certificates

Generalized repunit primes

Number	Digits	Bits	N-1 Fact. %	Proof	Data Files
(124750²⁷⁷⁵¹-1)/124749	141416	469771	32	KP	KP result, N-1 BLS trial, helper, factorization (N-1), certificate 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
(74968¹⁷¹⁰⁷-1)/74967	83390	277015	33.3897	BLS	certificate, helper, factorization (N-1), 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