Small Mersenne Prime Factors (page 994/5295)

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
9348517	56091103	8	~1987
9348611	168274999	9	~1988
9348667	149578673	9	~1988
9348791	18697583	8	~1985
9349019	18698039	8	~1985
9349217	130889039	9	~1987
9349243	373969721	9	~1989
9349673	56098039	8	~1987
9349943	18699887	8	~1985
9349973	56099839	8	~1987
9350123	18700247	8	~1985
9350303	18700607	8	~1985
9350513	56103079	8	~1987
9350591	18701183	8	~1985
9350699	18701399	8	~1985
9350951	74807609	8	~1987
9351031	93510311	8	~1987
9351187	168321367	9	~1988
9351281	74810249	8	~1987
9351487	448871377	9	~1989
9351791	18703583	8	~1985
9352097	56112583	8	~1987
9352411	617259127	9	~1989
9352943	18705887	8	~1985
9353159	18706319	8	~1985

Exp.	Prime Factor	Digits	Year
9353219	18706439	8	~1985
9353483	18706967	8	~1985
9353579	18707159	8	~1985
9353741	74829929	8	~1987
9353857	56123143	8	~1987
9354419	18708839	8	~1985
9354547	318054599	9	~1988
9354797	56128783	8	~1987
9355403	18710807	8	~1985
9355427	224530249	9	~1988
9355693	56134159	8	~1987
9355739	18711479	8	~1985
9355979	748478321	9	~1989
9356003	18712007	8	~1985
9356311	149700977	9	~1988
9356371	93563711	8	~1987
9356537	130991519	9	~1987
9356591	18713183	8	~1985
9356663	18713327	8	~1985
9356701	56140207	8	~1987
9356771	18713543	8	~1985
9356777	56140663	8	~1987
9356777	74854217	8
9357011	18714023	8	~1985
9357037	56142223	8	~1987

Exp.	Prime Factor	Digits	Year
9357611	18715223	8	~1985
9357863	18715727	8	~1985
9358379	74867033	8	~1987
9358571	18717143	8	~1985
9358589	131020247	9	~1987
9358841	56153047	8	~1987
9358883	18717767	8	~1985
9359123	18718247	8	~1985
9359407	224625769	9	~1988
9359477	74875817	8	~1987
9359543	18719087	8	~1985
9359759	74878073	8	~1987
9359881	56159287	8	~1987
9360077	56160463	8	~1987
9360181	56161087	8	~1987
9360313	149765009	9	~1988
9360361	56162167	8	~1987
9360479	18720959	8	~1985
9360917	56165503	8	~1987
9360941	56165647	8	~1987
9361663	93616631	8	~1987
9361991	18723983	8	~1985
9362057	56172343	8	~1987
9362123	18724247	8	~1985
9362351	18724703	8	~1985

Exp.	Prime Factor	Digits	Year
9362657	56175943	8	~1987
9362897	74903177	8	~1987
9362957	56177743	8	~1987
9363283	374531321	9	~1989
9363803	18727607	8	~1985
9364643	18729287	8	~1985
9365177	56191063	8	~1987
9365399	18730799	8	~1985
9365399	224769577	9
9365591	18731183	8	~1985
9365593	56193559	8	~1987
9365897	56195383	8	~1987
9366041	56196247	8	~1987
9366059	168589063	9	~1988
9366173	56197039	8	~1987
9366299	18732599	8	~1985
9366419	18732839	8	~1985
9366503	18733007	8	~1985
9366517	56199103	8	~1987
9366551	18733103	8	~1985
9366713	56200279	8	~1987
9366859	93668591	8	~1987
9367027	93670271	8	~1987
9367103	18734207	8	~1985
9367331	74938649	8	~1987

4.992.811 digits

25-08-20