Small Mersenne Prime Factors (page 1004/5460)

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
9317681	55906087	8	~1987
9317831	18635663	8	~1985
9317879	18635759	8	~1985
9318157	652270991	9	~1989
9318779	74550233	8	~1987
9318833	55912999	8	~1987
9318899	18637799	8	~1985
9319477	55916863	8	~1987
9319571	18639143	8	~1985
9319619	18639239	8	~1985
9319631	18639263	8	~1985
9319753	55918519	8	~1987
9319943	521916809	9	~1989
9320023	764241887	9	~1989
9320159	74561273	8	~1987
9320249	671057929	9	~1989
9320273	55921639	8	~1987
9320287	93202871	8	~1987
9320461	372818441	9	~1989
9320593	149129489	9	~1988
9320851	149133617	9	~1988
9321121	55926727	8	~1987
9321311	18642623	8	~1985
9321503	18643007	8	~1985
9321701	55930207	8	~1987

Exp.	Prime Factor	Digits	Year
9322031	18644063	8	~1985
9322037	55932223	8	~1987
9322037	1472881847	10
9322349	74578793	8	~1987
9322931	18645863	8	~1985
9322997	1566263497	10	~1990
9323047	93230471	8	~1987
9323183	18646367	8	~1985
9323339	18646679	8	~1985
9323399	74587193	8	~1987
9323459	18646919	8	~1985
9323513	55941079	8	~1987
9323641	149178257	9	~1988
9323903	18647807	8	~1985
9324013	55944079	8	~1987
9324053	55944319	8	~1987
9324241	55945447	8	~1987
9324317	74594537	8	~1987
9324431	18648863	8	~1985
9324599	18649199	8	~1985
9324803	18649607	8	~1985
9324853	55949119	8	~1987
9324871	93248711	8	~1987
9325003	149200049	9	~1988
9325139	18650279	8	~1985

Exp.	Prime Factor	Digits	Year
9325271	18650543	8	~1985
9325583	18651167	8	~1985
9325937	55955623	8	~1987
9325937	74607497	8
9326113	55956679	8	~1987
9326279	18652559	8	~1985
9326519	18653039	8	~1985
9326563	93265631	8	~1987
9326573	55959439	8	~1987
9326651	18653303	8	~1985
9326677	55960063	8	~1987
9326711	18653423	8	~1985
9326797	55960783	8	~1987
9326861	55961167	8	~1987
9327343	93273431	8	~1987
9327491	18654983	8	~1985
9327599	18655199	8	~1985
9327743	18655487	8	~1985
9327757	149244113	9	~1988
9327863	18655727	8	~1985
9327973	55967839	8	~1987
9328103	18656207	8	~1985
9328391	18656783	8	~1985
9328499	18656999	8	~1985
9328793	55972759	8	~1987

Exp.	Prime Factor	Digits	Year
9328859	18657719	8	~1985
9328973	55973839	8	~1987
9329051	18658103	8	~1985
9329063	18658127	8	~1985
9329161	55974967	8	~1987
9329759	18659519	8	~1985
9329891	18659783	8	~1985
9330371	18660743	8	~1985
9331103	18662207	8	~1985
9331319	18662639	8	~1985
9331643	18663287	8	~1985
9331741	55990447	8	~1987
9331877	55991263	8	~1987
9331877	74655017	8
9331919	18663839	8	~1985
9332003	18664007	8	~1985
9332803	93328031	8	~1987
9332941	55997647	8	~1987
9333011	18666023	8	~1985
9333031	149328497	9	~1988
9333109	373324361	9	~1989
9333229	373329161	9	~1989
9333251	18666503	8	~1985
9334103	18668207	8	~1985
9334163	18668327	8	~1985

5.157.210 digits

25-11-02