Small Mersenne Prime Factors (page 945/4665)

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
9313217	55879303	8	~1987
9313259	18626519	8	~1985
9313279	2160680729	10	~1990
9313301	74506409	8	~1987
9313511	18627023	8	~1985
9313523	18627047	8	~1985
9314573	55887439	8	~1987
9314603	18629207	8	~1985
9314681	55888087	8	~1987
9314719	167664943	9	~1988
9314821	55888927	8	~1987
9314999	18629999	8	~1985
9315101	55890607	8	~1987
9315181	5421435343	10	~1991
9315419	18630839	8	~1985
9315421	55892527	8	~1987
9315599	18631199	8	~1985
9315731	18631463	8	~1985
9315869	223580857	9	~1988
9315959	18631919	8	~1985
9315973	55895839	8	~1987
9316033	55896199	8	~1987
9316297	55897783	8	~1987
9316319	18632639	8	~1985
9316343	18632687	8	~1985

Exp.	Prime Factor	Digits	Year
9316379	18632759	8	~1985
9316451	18632903	8	~1985
9316823	223603753	9	~1988
9317219	74537753	8	~1987
9317237	55903423	8	~1987
9317459	18634919	8	~1985
9317681	55906087	8	~1987
9317831	18635663	8	~1985
9317879	18635759	8	~1985
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
9320273	55921639	8	~1987
9320287	93202871	8	~1987
9320461	372818441	9	~1989
9320593	149129489	9	~1988
9320851	149133617	9	~1988

Exp.	Prime Factor	Digits	Year
9321121	55926727	8	~1987
9321311	18642623	8	~1985
9321503	18643007	8	~1985
9321701	55930207	8	~1987
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
9324431	18648863	8	~1985
9324599	18649199	8	~1985
9324803	18649607	8	~1985
9324853	55949119	8	~1987

Exp.	Prime Factor	Digits	Year
9324871	93248711	8	~1987
9325003	149200049	9	~1988
9325139	18650279	8	~1985
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

4.368.158 digits

24-10-27