Small Mersenne Prime Factors (page 712/5490)

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
5177441	41419529	8	~1985
5177477	31064863	8	~1985
5177551	93195919	8	~1986
5177701	31066207	8	~1985
5177971	51779711	8	~1985
5177971	93203479	8
5178083	10356167	8	~1983
5178143	10356287	8	~1983
5178661	31071967	8	~1985
5178923	10357847	8	~1983
5179103	10358207	8	~1983
5179859	10359719	8	~1983
5180137	31080823	8	~1985
5180159	10360319	8	~1983
5180243	10360487	8	~1983
5180341	31082047	8	~1985
5180459	10360919	8	~1983
5180477	72526679	8	~1985
5180579	10361159	8	~1983
5180717	31084303	8	~1985
5180717	41445737	8
5180771	10361543	8	~1983
5180953	155428591	9	~1986
5180963	10361927	8	~1983
5181013	31086079	8	~1985

Exp.	Prime Factor	Digits	Year
5181023	10362047	8	~1983
5181067	93259207	8	~1986
5181101	31086607	8	~1985
5181173	31087039	8	~1985
5181191	10362383	8	~1983
5181353	31088119	8	~1985
5181383	10362767	8	~1983
5181551	10363103	8	~1983
5181599	383438327	9	~1987
5181637	31089823	8	~1985
5181677	31090063	8	~1985
5181779	41454233	8	~1985
5181971	10363943	8	~1983
5181983	10363967	8	~1983
5182091	10364183	8	~1983
5182253	72551543	8	~1986
5182319	10364639	8	~1983
5182427	124378249	9	~1986
5182601	31095607	8	~1985
5182757	31096543	8	~1985
5182867	51828671	8	~1985
5182979	10365959	8	~1983
5183077	2487876961	10	~1989
5183159	10366319	8	~1983
5183357	41466857	8	~1985

Exp.	Prime Factor	Digits	Year
5183411	10366823	8	~1983
5183587	93304567	8	~1986
5183813	31102879	8	~1985
5183819	10367639	8	~1983
5183831	10367663	8	~1983
5183891	10367783	8	~1983
5183891	93310039	8
5183933	31103599	8	~1985
5183939	10367879	8	~1983
5184121	82945937	8	~1986
5184143	10368287	8	~1983
5184323	10368647	8	~1983
5184323	124423753	9
5184343	124424233	9	~1986
5184563	10369127	8	~1983
5184721	31108327	8	~1985
5184721	580688753	9
5184757	31108543	8	~1985
5184841	31109047	8	~1985
5184863	10369727	8	~1983
5184871	342201487	9	~1987
5184911	10369823	8	~1983
5184953	31109719	8	~1985
5185139	10370279	8	~1983
5185261	82964177	8	~1986

Exp.	Prime Factor	Digits	Year
5185681	114084983	9	~1986
5185801	31114807	8	~1985
5185801	155574031	9
5185877	31115263	8	~1985
5185919	10371839	8	~1983
5185931	10371863	8	~1983
5185979	41487833	8	~1985
5185979	93347623	8
5186191	51861911	8	~1985
5186197	82979153	8	~1986
5186491	2582872519	10	~1989
5186501	31119007	8	~1985
5186543	10373087	8	~1983
5186663	134853239	9	~1986
5186879	41495033	8	~1985
5186927	41495417	8	~1985
5187113	72619583	8	~1986
5187151	51871511	8	~1985
5187233	31123399	8	~1985
5187239	10374479	8	~1983
5187401	41499209	8	~1985
5187887	134885063	9	~1986
5188091	10376183	8	~1983
5188229	41505833	8	~1985
5188499	10376999	8	~1983

5.187.277 digits

25-11-17