Small Mersenne Prime Factors (page 771/5745)

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
5784959	11569919	8	~1984
5785001	46280009	8	~1985
5785103	323965769	9	~1987
5785337	46282697	8	~1985
5785463	11570927	8	~1984
5785511	11571023	8	~1984
5785589	46284713	8	~1985
5785691	11571383	8	~1984
5785807	57858071	8	~1986
5785837	173575111	9	~1987
5785859	11571719	8	~1984
5785889	46287113	8	~1985
5785991	11571983	8	~1984
5786281	34717687	8	~1985
5786327	46290617	8	~1985
5786359	57863591	8	~1986
5786369	46290953	8	~1985
5786461	34718767	8	~1985
5786537	46292297	8	~1985
5786861	46294889	8	~1985
5787167	46297337	8	~1985
5787217	34723303	8	~1985
5787851	11575703	8	~1984
5787869	46302953	8	~1985
5788043	11576087	8	~1984

Exp.	Prime Factor	Digits	Year
5788193	34729159	8	~1985
5788247	324141833	9	~1987
5788439	11576879	8	~1984
5788457	34730743	8	~1985
5788463	11576927	8	~1984
5788621	34731727	8	~1985
5788793	34732759	8	~1985
5789071	57890711	8	~1986
5789363	11578727	8	~1984
5789617	231584681	9	~1987
5789711	11579423	8	~1984
5789779	104216023	9	~1986
5789891	11579783	8	~1984
5789891	46319129	8
5790097	34740583	8	~1985
5790209	220027943	9	~1987
5790419	11580839	8	~1984
5790439	57904391	8	~1986
5790529	138972697	9	~1986
5790539	11581079	8	~1984
5790571	104230279	9	~1986
5790809	277958833	9	~1987
5790847	57908471	8	~1986
5790847	231633881	9
5790857	34745143	8	~1985

Exp.	Prime Factor	Digits	Year
5790899	11581799	8	~1984
5790943	57909431	8	~1986
5791091	11582183	8	~1984
5791109	46328873	8	~1985
5791153	34746919	8	~1985
5791217	81077039	8	~1986
5791231	57912311	8	~1986
5791337	34748023	8	~1985
5791403	11582807	8	~1984
5791463	11582927	8	~1984
5791517	34749103	8	~1985
5791757	34750543	8	~1985
5791811	11583623	8	~1984
5791987	57919871	8	~1986
5792027	46336217	8	~1985
5792099	46336793	8	~1985
5792323	57923231	8	~1986
5792333	185354657	9	~1987
5792441	46339529	8	~1985
5792447	150603623	9	~1987
5792789	46342313	8	~1985
5792867	46342937	8	~1985
5792879	11585759	8	~1984
5792909	46343273	8	~1985
5792959	104273263	9	~1986

Exp.	Prime Factor	Digits	Year
5792959	196960607	9
5793503	11587007	8	~1984
5793523	57935231	8	~1986
5793547	104283847	9	~1986
5793611	46348889	8	~1985
5793761	46350089	8	~1985
5793971	11587943	8	~1984
5794001	869100151	9	~1988
5794003	57940031	8	~1986
5794391	11588783	8	~1984
5794417	34766503	8	~1985
5794423	57944231	8	~1986
5795081	34770487	8	~1985
5795197	92723153	8	~1986
5795213	34771279	8	~1985
5796191	46369529	8	~1985
5796313	34777879	8	~1985
5796367	57963671	8	~1986
5796517	34779103	8	~1985
5796551	11593103	8	~1984
5796599	11593199	8	~1984
5796611	11593223	8	~1984
5796863	11593727	8	~1984
5796913	34781479	8	~1985
5796953	81157343	8	~1986

5.441.361 digits

26-03-15