Small Mersenne Prime Factors (page 992/5205)

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
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
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

Exp.	Prime Factor	Digits	Year
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
9437759	75502073	8	~1987
9438083	18876167	8	~1985
9438251	18876503	8	~1985
9438277	2265186481	10	~1991
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

Exp.	Prime Factor	Digits	Year
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
9442151	18884303	8	~1985
9442379	18884759	8	~1985
9442493	56654959	8	~1987
9443039	18886079	8	~1985
9443303	18886607	8	~1985
9443519	18887039	8	~1985
9443807	75550457	8	~1987
9444059	18888119	8	~1985
9444103	623310799	9	~1989
9444221	56665327	8	~1987
9444353	56666119	8	~1987
9444439	94444391	8	~1987
9444497	56666983	8	~1987

Exp.	Prime Factor	Digits	Year
9444781	56668687	8	~1987
9444839	18889679	8	~1985
9444839	75558713	8
9444901	56669407	8	~1987
9445043	18890087	8	~1985
9445379	18890759	8	~1985
9445391	18890783	8	~1985
9445511	18891023	8	~1985
9445721	75565769	8	~1987
9446093	283382791	9	~1988
9446617	56679703	8	~1987
9446791	94467911	8	~1987
9446869	226724857	9	~1988
9446999	75575993	8	~1987
9447077	56682463	8	~1987
9447233	3627737473	10	~1991
9447479	18894959	8	~1985
9447857	56687143	8	~1987
9447983	4383864113	10	~1991
9448093	56688559	8	~1987
9448181	75585449	8	~1987
9448199	18896399	8	~1985
9448919	75591353	8	~1987
9448973	56693839	8	~1987
9448979	18897959	8	~1985

4.903.097 digits

25-07-08