Small Mersenne Prime Factors (page 788/5550)

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
6106787	48854297	8	~1985
6106823	12213647	8	~1984
6106931	12213863	8	~1984
6106993	36641959	8	~1985
6107291	12214583	8	~1984
6107317	97717073	8	~1986
6107593	36645559	8	~1985
6107741	48861929	8	~1985
6107819	48862553	8	~1985
6107999	48863993	8	~1985
6108001	684096113	9	~1988
6108079	61080791	8	~1986
6108439	61084391	8	~1986
6108461	36650767	8	~1985
6108607	97737713	8	~1986
6108653	525344159	9	~1988
6108749	48869993	8	~1985
6108779	12217559	8	~1984
6108853	36653119	8	~1985
6108857	36653143	8	~1985
6108889	134395559	9	~1987
6108941	342100697	9	~1988
6109093	36654559	8	~1985
6109331	12218663	8	~1984
6109703	12219407	8	~1984

Exp.	Prime Factor	Digits	Year
6109711	439899193	9	~1988
6109751	12219503	8	~1984
6109871	12219743	8	~1984
6109871	48878969	8
6109997	48879977	8	~1985
6110129	146643097	9	~1987
6110411	12220823	8	~1984
6110477	48883817	8	~1985
6110519	12221039	8	~1984
6110549	48884393	8	~1985
6111023	12222047	8	~1984
6111139	146667337	9	~1987
6111221	48889769	8	~1985
6111263	12222527	8	~1984
6111383	12222767	8	~1984
6111389	146673337	9	~1987
6111797	36670783	8	~1985
6112079	12224159	8	~1984
6112391	12224783	8	~1984
6112409	85573727	8	~1986
6112439	12224879	8	~1984
6112501	36675007	8	~1985
6112541	48900329	8	~1985
6112553	36675319	8	~1985
6112657	36675943	8	~1985

Exp.	Prime Factor	Digits	Year
6112703	12225407	8	~1984
6112763	12225527	8	~1984
6112919	48903353	8	~1985
6112943	12225887	8	~1984
6113011	97808177	8	~1986
6113039	48904313	8	~1985
6113111	12226223	8	~1984
6113201	36679207	8	~1985
6113279	48906233	8	~1985
6113309	85586327	8	~1986
6113363	12226727	8	~1984
6114209	48913673	8	~1985
6114263	12228527	8	~1984
6114539	12229079	8	~1984
6114593	36687559	8	~1985
6114623	12229247	8	~1984
6114767	48918137	8	~1985
6115001	48920009	8	~1985
6115337	36692023	8	~1985
6115513	36693079	8	~1985
6115547	48924377	8	~1985
6115877	330257359	9	~1988
6115909	183477271	9	~1987
6115979	48927833	8	~1985
6116161	36696967	8	~1985

Exp.	Prime Factor	Digits	Year
6116197	146788729	9	~1987
6116647	61166471	8	~1986
6116699	12233399	8	~1984
6116717	48933737	8	~1985
6116833	36700999	8	~1985
6116953	36701719	8	~1985
6117341	36704047	8	~1985
6117389	636208457	9	~1988
6117491	12234983	8	~1984
6117599	12235199	8	~1984
6117641	48941129	8	~1985
6117851	12235703	8	~1984
6117901	183537031	9	~1987
6117919	61179191	8	~1986
6117959	12235919	8	~1984
6117983	12235967	8	~1984
6118157	48945257	8	~1985
6118261	36709567	8	~1985
6118537	183556111	9	~1987
6118643	12237287	8	~1984
6118711	61187111	8	~1986
6118753	36712519	8	~1985
6118979	12237959	8	~1984
6119257	281485823	9	~1987
6119299	110147383	9	~1986

5.247.179 digits

25-12-14