Small Mersenne Prime Factors (page 964/4665)

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
9663683	19327367	8	~1985
9663851	19327703	8	~1985
9663853	57983119	8	~1987
9663853	231932473	9
9664631	19329263	8	~1985
9664691	19329383	8	~1985
9665039	19330079	8	~1985
9665063	19330127	8	~1985
9665297	135314159	9	~1988
9665339	19330679	8	~1985
9665501	57993007	8	~1987
9665951	19331903	8	~1985
9666131	19332263	8	~1985
9666401	77331209	8	~1987
9666533	57999199	8	~1987
9666551	19333103	8	~1985
9667187	232012489	9	~1988
9667393	212682647	9	~1988
9667421	77339369	8	~1987
9667667	77341337	8	~1987
9667919	19335839	8	~1985
9667993	58007959	8	~1987
9668003	19336007	8	~1985
9668051	19336103	8	~1985
9668471	19336943	8	~1985

Exp.	Prime Factor	Digits	Year
9668819	19337639	8	~1985
9668999	19337999	8	~1985
9669031	96690311	8	~1987
9669137	77353097	8	~1987
9669329	77354633	8	~1987
9669377	58016263	8	~1987
9669593	232070233	9	~1988
9669623	19339247	8	~1985
9670019	19340039	8	~1985
9670163	19340327	8	~1985
9670319	19340639	8	~1985
9670747	174073447	9	~1988
9670993	58025959	8	~1987
9671099	19342199	8	~1985
9671303	19342607	8	~1985
9671771	19343543	8	~1985
9672359	19344719	8	~1985
9672419	19344839	8	~1985
9672437	135414119	9	~1988
9672493	58034959	8	~1987
9672941	77383529	8	~1987
9673343	19346687	8	~1985
9673439	19346879	8	~1985
9673511	19347023	8	~1985
9673597	232166329	9	~1988

Exp.	Prime Factor	Digits	Year
9673801	58042807	8	~1987
9673871	19347743	8	~1985
9674039	19348079	8	~1985
9674459	19348919	8	~1985
9674557	58047343	8	~1987
9674579	19349159	8	~1985
9675059	19350119	8	~1985
9675109	522455887	9	~1989
9675293	58051759	8	~1987
9675761	58054567	8	~1987
9675857	135461999	9	~1988
9675863	19351727	8	~1985
9676001	58056007	8	~1987
9676091	19352183	8	~1985
9676889	135476447	9	~1988
9677191	174189439	9	~1988
9677281	154836497	9	~1988
9678013	58068079	8	~1987
9678131	19356263	8	~1986
9678181	58069087	8	~1987
9678271	96782711	8	~1987
9678323	19356647	8	~1986
9678863	19357727	8	~1986
9678947	77431577	8	~1987
9679147	154866353	9	~1988

Exp.	Prime Factor	Digits	Year
9679513	58077079	8	~1987
9679679	19359359	8	~1986
9679811	19359623	8	~1986
9680129	77441033	8	~1987
9680483	19360967	8	~1986
9680579	19361159	8	~1986
9680641	58083847	8	~1987
9680843	19361687	8	~1986
9680903	19361807	8	~1986
9680969	367876823	9	~1989
9681071	19362143	8	~1986
9681097	58086583	8	~1987
9681443	19362887	8	~1986
9681799	174272383	9	~1988
9682019	19364039	8	~1986
9682069	2788435873	10	~1991
9682087	154913393	9	~1988
9682223	19364447	8	~1986
9682619	19365239	8	~1986
9682619	77460953	8
9682691	19365383	8	~1986
9682763	19365527	8	~1986
9683039	19366079	8	~1986
9683171	19366343	8	~1986
9683351	19366703	8	~1986

4.368.158 digits

24-10-27