Small Mersenne Prime Factors (page 943/5430)

Small Mersenne Prime Factors
Prime numbers of the form M_p= 2^p − 1 are called Mersenne primes. For M_p to be prime, p must also be prime.
Any factor q of a Mersenne number 2^p − 1 must be of the form 2kp + 1, where integer k ≥ 0. Furthermore, q must be 1 or 7 mod 8.

Exp.	Prime Factor	Digits	Year
8385059	16770119	8	~1985
8385521	50313127	8	~1986
8385563	16771127	8	~1985
8386223	16772447	8	~1985
8386267	150952807	9	~1987
8386331	16772663	8	~1985
8386439	16772879	8	~1985
8386439	402549073	9
8386739	16773479	8	~1985
8386769	1325109503	10	~1990
8386769	1878636257	10
8386883	16773767	8	~1985
8387033	50322199	8	~1986
8387191	83871911	8	~1987
8387231	16774463	8	~1985
8387243	16774487	8	~1985
8387339	16774679	8	~1985
8387831	67102649	8	~1987
8387957	50327743	8	~1986
8388209	117434927	9	~1987
8388539	67108313	8	~1987
8388683	268437857	9	~1988
8388833	50332999	8	~1986
8389237	50335423	8	~1986
8389657	50337943	8	~1986

Exp.	Prime Factor	Digits	Year
8389679	67117433	8	~1987
8389883	16779767	8	~1985
8389919	16779839	8	~1985
8389973	469838489	9	~1989
8390273	50341639	8	~1986
8390303	16780607	8	~1985
8390497	536991809	9	~1989
8390513	50343079	8	~1986
8390663	16781327	8	~1985
8390717	50344303	8	~1986
8390939	16781879	8	~1985
8391023	16782047	8	~1985
8391083	16782167	8	~1985
8391263	16782527	8	~1985
8391283	83912831	8	~1987
8391479	16782959	8	~1985
8392193	50353159	8	~1986
8392799	16785599	8	~1985
8392829	67142633	8	~1987
8392903	83929031	8	~1987
8392933	50357599	8	~1986
8393111	16786223	8	~1985
8393243	16786487	8	~1985
8393279	16786559	8	~1985
8393761	50362567	8	~1986

Exp.	Prime Factor	Digits	Year
8393849	67150793	8	~1987
8393941	50363647	8	~1986
8393969	67151753	8	~1987
8394017	50364103	8	~1986
8394037	201456889	9	~1988
8394041	50364247	8	~1986
8394083	805831969	9	~1989
8394377	67155017	8	~1987
8394469	251834071	9	~1988
8394539	16789079	8	~1985
8394613	50367679	8	~1986
8394689	67157513	8	~1987
8394803	16789607	8	~1985
8394983	16789967	8	~1985
8395043	16790087	8	~1985
8395061	50370367	8	~1986
8395067	67160537	8	~1987
8395097	50370583	8	~1986
8395133	50370799	8	~1986
8395151	16790303	8	~1985
8395319	16790639	8	~1985
8395351	83953511	8	~1987
8395741	50374447	8	~1986
8395811	16791623	8	~1985
8395951	83959511	8	~1987

Exp.	Prime Factor	Digits	Year
8395997	67167977	8	~1987
8396039	16792079	8	~1985
8396281	50377687	8	~1986
8396413	50378479	8	~1986
8396519	67172153	8	~1987
8396761	50380567	8	~1986
8396779	151142023	9	~1987
8396819	67174553	8	~1987
8396953	50381719	8	~1986
8396987	67175897	8	~1987
8397079	83970791	8	~1987
8397217	50383303	8	~1986
8397353	50384119	8	~1986
8398393	50390359	8	~1986
8398619	16797239	8	~1985
8398633	50391799	8	~1986
8398757	50392543	8	~1986
8398913	50393479	8	~1986
8399057	50394343	8	~1986
8399057	67192457	8
8399107	83991071	8	~1987
8399401	50396407	8	~1986
8399621	50397727	8	~1986
8399701	403185649	9	~1988
8399773	50398639	8	~1986

5.127.372 digits

25-10-20