Small Mersenne Prime Factors (page 428/5190)

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
2348293	56359033	8	~1983
2348471	4696943	7	~1981
2348497	14090983	8	~1982
2348713	14092279	8	~1982
2348897	32884559	8	~1983
2348897	89258087	8
2348959	42281263	8	~1983
2349023	4698047	7	~1981
2349071	98660983	8	~1984
2349337	14096023	8	~1982
2349419	42289543	8	~1983
2349569	32893967	8	~1983
2349731	112787089	9	~1984
2350031	4700063	7	~1981
2350111	23501111	8	~1982
2350211	18801689	8	~1982
2350219	263224529	9	~1985
2350241	70507231	8	~1984
2350303	437156359	9	~1986
2350409	70512271	8	~1984
2350507	94020281	8	~1984
2350583	4701167	7	~1981
2350631	18805049	8	~1982
2350633	56415193	8	~1983
2350703	131639369	9	~1984

Exp.	Prime Factor	Digits	Year
2351171	18809369	8	~1982
2351347	23513471	8	~1982
2351477	112870897	9	~1984
2351513	14109079	8	~1982
2351579	4703159	7	~1981
2351597	14109583	8	~1982
2351603	4703207	7	~1981
2351759	4703519	7	~1981
2351803	37628849	8	~1983
2351857	14111143	8	~1982
2351941	183451399	9	~1985
2351963	4703927	7	~1981
2352011	4704023	7	~1981
2352131	4704263	7	~1981
2352139	42338503	8	~1983
2352173	56452153	8	~1983
2352191	4704383	7	~1981
2352481	37639697	8	~1983
2352521	18820169	8	~1982
2352803	4705607	7	~1981
2353049	56473177	8	~1983
2353051	42354919	8	~1983
2353159	23531591	8	~1982
2353391	4706783	7	~1981
2353391	18827129	8

Exp.	Prime Factor	Digits	Year
2353457	56482969	8	~1983
2353597	37657553	8	~1983
2353697	14122183	8	~1982
2353931	4707863	7	~1981
2353943	4707887	7	~1981
2353987	23539871	8	~1982
2354039	4708079	7	~1981
2354059	23540591	8	~1982
2354063	4708127	7	~1981
2354351	4708703	7	~1981
2354459	4708919	7	~1981
2354459	117722951	9
2354489	18835913	8	~1982
2354503	37672049	8	~1983
2354591	4709183	7	~1981
2354711	4709423	7	~1981
2354813	14128879	8	~1982
2354813	56515513	8
2354837	32967719	8	~1983
2354953	14129719	8	~1982
2355097	6325790543	10	~1988
2355121	37681937	8	~1983
2355337	14132023	8	~1982
2355337	37685393	8
2355377	56529049	8	~1983

Exp.	Prime Factor	Digits	Year
2355443	56530633	8	~1983
2355719	4711439	7	~1981
2355733	14134399	8	~1982
2355973	56543353	8	~1983
2356043	4712087	7	~1981
2356043	98953807	8
2356103	4712207	7	~1981
2356141	14136847	8	~1982
2356169	18849353	8	~1982
2356379	4712759	7	~1981
2356381	14138287	8	~1982
2356391	4712783	7	~1981
2356411	23564111	8	~1982
2356423	23564231	8	~1982
2356793	56563033	8	~1983
2356933	51852527	8	~1983
2356943	4713887	7	~1981
2357039	4714079	7	~1981
2357057	56569369	8	~1983
2357153	70714591	8	~1984
2357219	4714439	7	~1981
2357297	14143783	8	~1982
2357297	18858377	8
2357321	18858569	8	~1982
2357417	56578009	8	~1983

4.888.230 digits

25-06-29