Small Mersenne Prime Factors (page 974/5025)

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
9342479	18684959	8	~1985
9342659	18685319	8	~1985
9342691	168168439	9	~1988
9342779	18685559	8	~1985
9342863	18685727	8	~1985
9343021	56058127	8	~1987
9343283	18686567	8	~1985
9343337	1569680617	10	~1990
9343403	18686807	8	~1985
9343511	18687023	8	~1985
9343703	18687407	8	~1985
9344039	18688079	8	~1985
9344281	56065687	8	~1987
9344813	56068879	8	~1987
9345023	18690047	8	~1985
9345157	56070943	8	~1987
9345191	448569169	9	~1989
9345277	56071663	8	~1987
9345599	18691199	8	~1985
9345641	56073847	8	~1987
9345691	93456911	8	~1987
9345773	56074639	8	~1987
9345839	18691679	8	~1985
9346079	18692159	8	~1985
9346171	149538737	9	~1988

Exp.	Prime Factor	Digits	Year
9346193	56077159	8	~1987
9346361	56078167	8	~1987
9346541	74772329	8	~1987
9346559	18693119	8	~1985
9346643	18693287	8	~1985
9346657	56079943	8	~1987
9346861	56081167	8	~1987
9346873	56081239	8	~1987
9346979	18693959	8	~1985
9347203	93472031	8	~1987
9347231	18694463	8	~1985
9347257	56083543	8	~1987
9347279	74778233	8	~1987
9347323	93473231	8	~1987
9347323	224335753	9
9347417	280422511	9	~1988
9347441	56084647	8	~1987
9347573	56085439	8	~1987
9347951	168263119	9	~1988
9348191	18696383	8	~1985
9348413	56090479	8	~1987
9348517	56091103	8	~1987
9348611	168274999	9	~1988
9348667	149578673	9	~1988
9348791	18697583	8	~1985

Exp.	Prime Factor	Digits	Year
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
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
9353219	18706439	8	~1985
9353483	18706967	8	~1985
9353579	18707159	8	~1985
9353741	74829929	8	~1987
9353857	56123143	8	~1987

Exp.	Prime Factor	Digits	Year
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
9357611	18715223	8	~1985
9357863	18715727	8	~1985
9358379	74867033	8	~1987
9358571	18717143	8	~1985
9358589	131020247	9	~1987

4.724.182 digits

25-04-13