Small Mersenne Prime Factors (page 1005/5205)

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
9658633	386345321	9	~1989
9658889	77271113	8	~1987
9659339	19318679	8	~1986
9659341	57956047	8	~1987
9659483	19318967	8	~1986
9659603	19319207	8	~1986
9659759	19319519	8	~1986
9659803	96598031	8	~1987
9659959	173879263	9	~1988
9660139	96601391	8	~1987
9660193	57961159	8	~1987
9660323	19320647	8	~1986
9660383	19320767	8	~1986
9660419	19320839	8	~1986
9660611	19321223	8	~1986
9660901	57965407	8	~1987
9661013	57966079	8	~1987
9661079	19322159	8	~1986
9661087	1159330441	10	~1990
9661523	19323047	8	~1986
9661859	19323719	8	~1986
9661871	19323743	8	~1986
9661919	19323839	8	~1986
9661957	57971743	8	~1987
9661979	77295833	8	~1987

Exp.	Prime Factor	Digits	Year
9662063	19324127	8	~1986
9662123	19324247	8	~1986
9662153	57972919	8	~1987
9662407	154598513	9	~1988
9662699	19325399	8	~1986
9662951	19325903	8	~1986
9663217	57979303	8	~1987
9663299	19326599	8	~1986
9663299	173939383	9
9663337	57980023	8	~1987
9663683	19327367	8	~1986
9663851	19327703	8	~1986
9663853	57983119	8	~1987
9663853	231932473	9
9664631	19329263	8	~1986
9664691	19329383	8	~1986
9664913	57989479	8	~1987
9665039	19330079	8	~1986
9665063	19330127	8	~1986
9665297	135314159	9	~1988
9665339	19330679	8	~1986
9665501	57993007	8	~1987
9665933	57995599	8	~1987
9665951	19331903	8	~1986
9666131	19332263	8	~1986

Exp.	Prime Factor	Digits	Year
9666277	57997663	8	~1987
9666401	77331209	8	~1987
9666533	57999199	8	~1987
9666551	19333103	8	~1986
9667187	232012489	9	~1988
9667393	212682647	9	~1988
9667421	77339369	8	~1987
9667667	77341337	8	~1987
9667837	58007023	8	~1987
9667919	19335839	8	~1986
9667993	58007959	8	~1987
9668003	19336007	8	~1986
9668051	19336103	8	~1986
9668081	58008487	8	~1987
9668293	58009759	8	~1987
9668471	19336943	8	~1986
9668819	19337639	8	~1986
9668999	19337999	8	~1986
9669031	96690311	8	~1987
9669041	58014247	8	~1987
9669113	58014679	8	~1987
9669137	77353097	8	~1987
9669329	77354633	8	~1987
9669377	58016263	8	~1987
9669593	232070233	9	~1988

Exp.	Prime Factor	Digits	Year
9669623	19339247	8	~1986
9670019	19340039	8	~1986
9670163	19340327	8	~1986
9670319	19340639	8	~1986
9670457	58022743	8	~1987
9670747	174073447	9	~1988
9670993	58025959	8	~1987
9671021	58026127	8	~1987
9671099	19342199	8	~1986
9671303	19342607	8	~1986
9671771	19343543	8	~1986
9672077	58032463	8	~1987
9672359	19344719	8	~1986
9672419	19344839	8	~1986
9672437	135414119	9	~1988
9672493	58034959	8	~1987
9672941	77383529	8	~1987
9673343	19346687	8	~1986
9673439	19346879	8	~1986
9673481	58040887	8	~1987
9673511	19347023	8	~1986
9673597	232166329	9	~1988
9673801	58042807	8	~1987
9673871	19347743	8	~1986
9674039	19348079	8	~1986

4.903.097 digits

25-07-08