Small Mersenne Prime Factors (page 855/5430)

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
7081439	14162879	8	~1984
7081751	14163503	8	~1984
7081847	736512089	9	~1989
7082063	14164127	8	~1984
7082197	169972729	9	~1987
7082561	42495367	8	~1986
7082629	155817839	9	~1987
7082921	42497527	8	~1986
7082941	42497647	8	~1986
7082951	14165903	8	~1984
7083157	42498943	8	~1986
7083341	42500047	8	~1986
7083383	14166767	8	~1984
7083431	14166863	8	~1984
7083911	14167823	8	~1984
7083971	14167943	8	~1984
7084043	14168087	8	~1984
7084403	14168807	8	~1984
7084541	42507247	8	~1986
7084547	56676377	8	~1986
7084559	14169119	8	~1984
7085237	42511423	8	~1986
7085399	14170799	8	~1984
7085531	14171063	8	~1984
7085581	42513487	8	~1986

Exp.	Prime Factor	Digits	Year
7085843	14171687	8	~1984
7086239	14172479	8	~1984
7086341	56690729	8	~1986
7086479	14172959	8	~1984
7086587	56692697	8	~1986
7086593	42519559	8	~1986
7087043	14174087	8	~1984
7087097	99219359	8	~1987
7087109	56696873	8	~1986
7087229	56697833	8	~1986
7087439	14174879	8	~1984
7087583	14175167	8	~1984
7087799	14175599	8	~1984
7087999	127583983	9	~1987
7088047	70880471	8	~1986
7088183	14176367	8	~1984
7088353	42530119	8	~1986
7088561	56708489	8	~1986
7088891	14177783	8	~1984
7089463	70894631	8	~1986
7089619	70896191	8	~1986
7089781	113436497	9	~1987
7089893	42539359	8	~1986
7090067	56720537	8	~1986
7090093	42540559	8	~1986

Exp.	Prime Factor	Digits	Year
7090151	14180303	8	~1984
7090151	56721209	8
7090231	70902311	8	~1986
7090331	56722649	8	~1986
7090427	170170249	9	~1987
7090511	14181023	8	~1984
7090859	14181719	8	~1984
7090981	42545887	8	~1986
7091041	42546247	8	~1986
7091129	56729033	8	~1986
7091411	14182823	8	~1984
7091473	42548839	8	~1986
7091723	14183447	8	~1984
7091939	14183879	8	~1984
7091999	14183999	8	~1984
7092131	56737049	8	~1986
7092191	14184383	8	~1984
7092311	14184623	8	~1984
7092479	14184959	8	~1984
7092773	42556639	8	~1986
7092779	14185559	8	~1984
7092983	14185967	8	~1984
7093003	70930031	8	~1986
7093643	14187287	8	~1984
7093739	14187479	8	~1984

Exp.	Prime Factor	Digits	Year
7093979	354698951	9	~1988
7094063	14188127	8	~1984
7094159	56753273	8	~1986
7094231	14188463	8	~1984
7094489	56755913	8	~1986
7094519	14189039	8	~1984
7094897	42569383	8	~1986
7095007	70950071	8	~1986
7095007	127710127	9
7095059	14190119	8	~1984
7095241	113523857	9	~1987
7095299	56762393	8	~1986
7095479	14190959	8	~1984
7095611	56764889	8	~1986
7095899	14191799	8	~1984
7095917	42575503	8	~1986
7096169	56769353	8	~1986
7096261	42577567	8	~1986
7096307	56770457	8	~1986
7096357	42578143	8	~1986
7096421	397399577	9	~1988
7096643	14193287	8	~1984
7096751	56774009	8	~1986
7096787	56774297	8	~1986
7096889	56775113	8	~1986

5.127.372 digits

25-10-20