Small Mersenne Prime Factors (page 887/5490)

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
7504481	45026887	8	~1986
7504643	15009287	8	~1985
7504751	15009503	8	~1985
7504781	60038249	8	~1986
7504979	15009959	8	~1985
7505051	15010103	8	~1985
7505077	45030463	8	~1986
7505243	1996394639	10	~1990
7505611	120089777	9	~1987
7505639	15011279	8	~1985
7505669	60045353	8	~1986
7505677	120090833	9	~1987
7506011	60048089	8	~1986
7506071	15012143	8	~1985
7506089	60048713	8	~1986
7506137	60049097	8	~1986
7506143	15012287	8	~1985
7506203	15012407	8	~1985
7506397	170905646897	12	~1995
7506419	15012839	8	~1985
7506581	45039487	8	~1986
7506637	120106193	9	~1987
7506757	45040543	8	~1986
7506923	15013847	8	~1985
7507021	120112337	9	~1987

Exp.	Prime Factor	Digits	Year
7507163	15014327	8	~1985
7507271	15014543	8	~1985
7507933	45047599	8	~1986
7508057	60064457	8	~1986
7508161	45048967	8	~1986
7508183	15016367	8	~1985
7508377	45050263	8	~1986
7508671	120138737	9	~1987
7508981	45053887	8	~1986
7508981	60071849	8
7509077	105127079	9	~1987
7509179	15018359	8	~1985
7509179	360440593	9
7509251	15018503	8	~1985
7509301	45055807	8	~1986
7509317	45055903	8	~1986
7509611	15019223	8	~1985
7509713	105135983	9	~1987
7509787	120156593	9	~1987
7509851	15019703	8	~1985
7510201	45061207	8	~1986
7510253	45061519	8	~1986
7510487	60083897	8	~1986
7510579	75105791	8	~1986
7510619	15021239	8	~1985

Exp.	Prime Factor	Digits	Year
7510687	120170993	9	~1987
7510859	15021719	8	~1985
7511033	45066199	8	~1986
7511039	15022079	8	~1985
7511039	60088313	8
7511123	15022247	8	~1985
7511183	15022367	8	~1985
7511267	60090137	8	~1986
7511291	15022583	8	~1985
7511419	75114191	8	~1986
7511461	45068767	8	~1986
7511891	15023783	8	~1985
7512311	15024623	8	~1985
7512403	75124031	8	~1986
7512781	45076687	8	~1986
7512859	135231463	9	~1987
7512863	15025727	8	~1985
7513063	75130631	8	~1986
7513139	15026279	8	~1985
7513223	15026447	8	~1985
7513321	45079927	8	~1986
7513357	45080143	8	~1986
7513391	15026783	8	~1985
7513601	45081607	8	~1986
7513703	15027407	8	~1985

Exp.	Prime Factor	Digits	Year
7513931	15027863	8	~1985
7514231	15028463	8	~1985
7514321	45085927	8	~1986
7514341	45086047	8	~1986
7514411	15028823	8	~1985
7514791	75147911	8	~1986
7515041	45090247	8	~1986
7515143	15030287	8	~1985
7515251	15030503	8	~1985
7515719	15031439	8	~1985
7515731	15031463	8	~1985
7515763	75157631	8	~1986
7515971	15031943	8	~1985
7516081	45096487	8	~1986
7516211	60129689	8	~1986
7516259	15032519	8	~1985
7516337	105228719	9	~1987
7516391	15032783	8	~1985
7516391	60131129	8
7516721	45100327	8	~1986
7516739	15033479	8	~1985
7516843	300673721	9	~1988
7516877	45101263	8	~1986
7516877	60135017	8
7517057	60136457	8	~1986

5.187.277 digits

25-11-17