Small Mersenne Prime Factors (page 732/5460)

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
5441963	141491039	9	~1986
5442011	10884023	8	~1984
5442121	32652727	8	~1985
5442301	32653807	8	~1985
5442383	10884767	8	~1984
5442491	10884983	8	~1984
5442539	10885079	8	~1984
5442629	43541033	8	~1985
5442659	10885319	8	~1984
5442971	10885943	8	~1984
5443103	10886207	8	~1984
5443183	54431831	8	~1985
5443439	10886879	8	~1984
5443547	43548377	8	~1985
5443567	54435671	8	~1985
5443567	97984207	8
5443727	43549817	8	~1985
5443993	32663959	8	~1985
5444221	32665327	8	~1985
5444639	43557113	8	~1985
5444651	10889303	8	~1984
5444843	10889687	8	~1984
5445161	43561289	8	~1985
5445197	43561577	8	~1985
5445239	10890479	8	~1984

Exp.	Prime Factor	Digits	Year
5445311	10890623	8	~1984
5445311	43562489	8
5445833	174266657	9	~1987
5445893	32675359	8	~1985
5445911	43567289	8	~1985
5445959	10891919	8	~1984
5446379	10892759	8	~1984
5446927	54469271	8	~1985
5446943	10893887	8	~1984
5446967	43575737	8	~1985
5447051	98046919	8	~1986
5447081	32682487	8	~1985
5447303	10894607	8	~1984
5447339	10894679	8	~1984
5447339	43578713	8
5447461	32684767	8	~1985
5447521	32685127	8	~1985
5447777	32686663	8	~1985
5447801	32686807	8	~1985
5447821	217912841	9	~1987
5447831	98060959	8	~1986
5448011	10896023	8	~1984
5448061	32688367	8	~1985
5448073	119857607	9	~1986
5448253	2745919513	10	~1989

Exp.	Prime Factor	Digits	Year
5448323	10896647	8	~1984
5448713	958973489	9	~1988
5448743	10897487	8	~1984
5448767	43590137	8	~1985
5448809	76283327	8	~1986
5448979	54489791	8	~1985
5448979	228857119	9
5449007	43592057	8	~1985
5449553	32697319	8	~1985
5449943	10899887	8	~1984
5450101	32700607	8	~1985
5450273	32701639	8	~1985
5450323	87205169	8	~1986
5450369	43602953	8	~1985
5450707	261633937	9	~1987
5450801	32704807	8	~1985
5450957	43607657	8	~1985
5450959	54509591	8	~1985
5450987	43607897	8	~1985
5451059	10902119	8	~1984
5451091	228945823	9	~1987
5451151	54511511	8	~1985
5451349	348886337	9	~1987
5451431	10902863	8	~1984
5451599	10903199	8	~1984

Exp.	Prime Factor	Digits	Year
5451619	54516191	8	~1985
5451731	10903463	8	~1984
5451791	10903583	8	~1984
5452103	10904207	8	~1984
5452543	54525431	8	~1985
5452571	665213663	9	~1988
5452823	10905647	8	~1984
5453099	10906199	8	~1984
5453101	32718607	8	~1985
5453111	10906223	8	~1984
5453233	32719399	8	~1985
5453401	163602031	9	~1986
5453471	43627769	8	~1985
5453519	43628153	8	~1985
5453531	10907063	8	~1984
5453603	10907207	8	~1984
5453713	32722279	8	~1985
5453731	54537311	8	~1985
5453731	98167159	8
5453803	130891273	9	~1986
5453869	119985119	9	~1986
5453879	10907759	8	~1984
5453891	10907783	8	~1984
5454247	54542471	8	~1985
5454731	10909463	8	~1984

5.157.210 digits

25-11-02