Small Mersenne Prime Factors (page 1024/5775)

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
9309137	446838577	9	~1989
9309413	130331783	9	~1988
9309479	18618959	8	~1985
9309479	74475833	8
9309697	55858183	8	~1987
9309869	74478953	8	~1987
9310153	55860919	8	~1987
9310241	55861447	8	~1987
9310333	55861999	8	~1987
9310481	55862887	8	~1987
9310523	18621047	8	~1985
9310667	74485337	8	~1987
9310991	18621983	8	~1985
9311063	18622127	8	~1985
9312323	18624647	8	~1985
9312731	18625463	8	~1985
9312749	74501993	8	~1987
9312767	167629807	9	~1988
9312899	74503193	8	~1987
9312917	74503337	8	~1987
9313013	55878079	8	~1987
9313217	55879303	8	~1987
9313259	18626519	8	~1985
9313279	2160680729	10	~1990
9313301	74506409	8	~1987

Exp.	Prime Factor	Digits	Year
9313511	18627023	8	~1985
9313523	18627047	8	~1985
9313631	74509049	8	~1987
9314573	55887439	8	~1987
9314603	18629207	8	~1985
9314681	55888087	8	~1987
9314719	167664943	9	~1988
9314819	74518553	8	~1987
9314821	55888927	8	~1987
9314999	18629999	8	~1985
9315101	55890607	8	~1987
9315329	74522633	8	~1987
9315347	968796089	9	~1990
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
9316379	18632759	8	~1985

Exp.	Prime Factor	Digits	Year
9316451	18632903	8	~1985
9316759	167701663	9	~1988
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
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

Exp.	Prime Factor	Digits	Year
9320593	149129489	9	~1988
9320851	149133617	9	~1988
9321121	55926727	8	~1987
9321283	93212831	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
9323381	74587049	8	~1987
9323399	74587193	8	~1987
9323459	18646919	8	~1985
9323513	55941079	8	~1987
9323641	149178257	9	~1988
9323849	74590793	8	~1987
9323903	18647807	8	~1985
9324013	55944079	8	~1987
9324053	55944319	8	~1987

5.471.290 digits

26-03-29