Small Mersenne Prime Factors (page 1010/5460)

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
9425113	56550679	8	~1987
9425233	56551399	8	~1987
9425233	226205593	9
9425509	282765271	9	~1988
9425543	18851087	8	~1985
9425771	18851543	8	~1985
9425831	18851663	8	~1985
9426181	56557087	8	~1987
9426377	56558263	8	~1987
9426541	56559247	8	~1987
9426731	18853463	8	~1985
9426881	56561287	8	~1987
9426953	56561719	8	~1987
9426997	56561983	8	~1987
9427259	18854519	8	~1985
9427261	56563567	8	~1987
9427739	18855479	8	~1985
9427961	56567767	8	~1987
9428017	56568103	8	~1987
9428501	75428009	8	~1987
9428593	282857791	9	~1988
9428621	56571727	8	~1987
9428641	56571847	8	~1987
9428879	18857759	8	~1985
9429037	56574223	8	~1987

Exp.	Prime Factor	Digits	Year
9429131	18858263	8	~1985
9429313	56575879	8	~1987
9429419	18858839	8	~1985
9429523	320603783	9	~1988
9429613	56577679	8	~1987
9429659	18859319	8	~1985
9429923	18859847	8	~1985
9430331	18860663	8	~1985
9430703	18861407	8	~1985
9430781	75446249	8	~1987
9431171	18862343	8	~1985
9431237	56587423	8	~1987
9431273	132037823	9	~1988
9431291	169763239	9	~1988
9431501	75452009	8	~1987
9431677	56590063	8	~1987
9432011	18864023	8	~1985
9432191	18864383	8	~1985
9432197	56593183	8	~1987
9432443	18864887	8	~1985
9432541	56595247	8	~1987
9432551	18865103	8	~1985
9432623	18865247	8	~1985
9432791	75462329	8	~1987
9432803	18865607	8	~1985

Exp.	Prime Factor	Digits	Year
9432823	94328231	8	~1987
9432961	377318441	9	~1989
9433757	56602543	8	~1987
9433799	18867599	8	~1985
9434591	18869183	8	~1985
9434723	18869447	8	~1985
9435011	18870023	8	~1985
9435383	18870767	8	~1985
9435397	56612383	8	~1987
9435539	18871079	8	~1985
9435551	18871103	8	~1985
9435893	56615359	8	~1987
9436433	56618599	8	~1987
9436501	56619007	8	~1987
9436913	56621479	8	~1987
9436943	18873887	8	~1985
9437171	18874343	8	~1985
9437413	56624479	8	~1987
9437579	18875159	8	~1985
9437639	4322438663	10	~1991
9437717	75501737	8	~1987
9437759	75502073	8	~1987
9438083	18876167	8	~1985
9438251	18876503	8	~1985
9438277	2265186481	10	~1991

Exp.	Prime Factor	Digits	Year
9438431	18876863	8	~1985
9438503	18877007	8	~1985
9438503	226524073	9
9438623	18877247	8	~1985
9439121	56634727	8	~1987
9439421	56636527	8	~1987
9439481	56636887	8	~1987
9439571	18879143	8	~1985
9439657	56637943	8	~1987
9439679	18879359	8	~1985
9439957	56639743	8	~1987
9440021	56640127	8	~1987
9440267	75522137	8	~1987
9440303	18880607	8	~1985
9440477	56642863	8	~1987
9440999	18881999	8	~1985
9441101	56646607	8	~1987
9441149	75529193	8	~1987
9441203	18882407	8	~1985
9441361	56648167	8	~1987
9441373	56648239	8	~1987
9441479	18882959	8	~1985
9441539	302129249	9	~1988
9441989	302143649	9	~1988
9442091	18884183	8	~1985

5.157.210 digits

25-11-02