Small Mersenne Prime Factors (page 963/4665)

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
9645959	19291919	8	~1985
9646163	19292327	8	~1985
9646277	57877663	8	~1987
9646523	19293047	8	~1985
9646631	77173049	8	~1987
9646691	19293383	8	~1985
9647161	57882967	8	~1987
9647207	77177657	8	~1987
9647723	19295447	8	~1985
9647777	57886663	8	~1987
9648311	19296623	8	~1985
9648563	19297127	8	~1985
9648893	57893359	8	~1987
9649201	57895207	8	~1987
9649301	77194409	8	~1987
9649313	135090383	9	~1988
9649379	19298759	8	~1985
9649583	19299167	8	~1985
9650051	19300103	8	~1985
9650159	19300319	8	~1985
9650171	19300343	8	~1985
9650219	19300439	8	~1985
9650411	19300823	8	~1985
9651457	57908743	8	~1987
9651539	19303079	8	~1985

Exp.	Prime Factor	Digits	Year
9651553	154424849	9	~1988
9651659	77213273	8	~1987
9651683	19303367	8	~1985
9651959	19303919	8	~1985
9652063	96520631	8	~1987
9652151	19304303	8	~1985
9652367	77218937	8	~1987
9652403	2857111289	10	~1991
9652417	57914503	8	~1987
9652463	19304927	8	~1985
9652739	19305479	8	~1985
9652871	19305743	8	~1985
9653381	57920287	8	~1987
9653519	19307039	8	~1985
9654241	57925447	8	~1987
9654377	57926263	8	~1987
9654479	173780623	9	~1988
9654791	19309583	8	~1985
9654889	1081347569	10	~1990
9654959	19309919	8	~1985
9655007	77240057	8	~1987
9655033	57930199	8	~1987
9655267	96552671	8	~1987
9655559	19311119	8	~1985
9655799	19311599	8	~1985

Exp.	Prime Factor	Digits	Year
9655801	212427623	9	~1988
9655979	19311959	8	~1985
9655981	57935887	8	~1987
9656039	19312079	8	~1985
9656819	19313639	8	~1985
9656917	57941503	8	~1987
9656947	96569471	8	~1987
9657001	212454023	9	~1988
9657113	57942679	8	~1987
9657691	96576911	8	~1987
9657779	19315559	8	~1985
9657839	19315679	8	~1985
9657961	57947767	8	~1987
9658079	77264633	8	~1987
9658139	19316279	8	~1985
9658151	19316303	8	~1985
9658357	57950143	8	~1987
9658633	386345321	9	~1989
9658889	77271113	8	~1987
9659339	19318679	8	~1985
9659341	57956047	8	~1987
9659483	19318967	8	~1985
9659603	19319207	8	~1985
9659759	19319519	8	~1985
9659803	96598031	8	~1987

Exp.	Prime Factor	Digits	Year
9659959	173879263	9	~1988
9660193	57961159	8	~1987
9660323	19320647	8	~1985
9660383	19320767	8	~1985
9660419	19320839	8	~1985
9660611	19321223	8	~1985
9661013	57966079	8	~1987
9661079	19322159	8	~1985
9661087	1159330441	10	~1990
9661523	19323047	8	~1985
9661859	19323719	8	~1985
9661871	19323743	8	~1985
9661919	19323839	8	~1985
9661957	57971743	8	~1987
9661979	77295833	8	~1987
9662063	19324127	8	~1985
9662123	19324247	8	~1985
9662153	57972919	8	~1987
9662407	154598513	9	~1988
9662699	19325399	8	~1985
9662951	19325903	8	~1985
9663217	57979303	8	~1987
9663299	19326599	8	~1985
9663299	173939383	9
9663337	57980023	8	~1987

4.368.158 digits

24-10-27