Small Mersenne Prime Factors (page 747/5550)

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
5583901	122845823	9	~1986
5583911	11167823	8	~1984
5583923	11167847	8	~1984
5584039	55840391	8	~1985
5584277	33505663	8	~1985
5584303	55843031	8	~1985
5584511	11169023	8	~1984
5584511	44676089	8
5584739	11169479	8	~1984
5584913	78188783	8	~1986
5585077	536167393	9	~1988
5585219	44681753	8	~1985
5585291	44682329	8	~1985
5585543	11171087	8	~1984
5585663	11171327	8	~1984
5585807	44686457	8	~1985
5585977	33515863	8	~1985
5586131	11172263	8	~1984
5586239	11172479	8	~1984
5586239	44689913	8
5586311	547458479	9	~1988
5586611	44692889	8	~1985
5586671	11173343	8	~1984
5586793	33520759	8	~1985
5586883	55868831	8	~1985

Exp.	Prime Factor	Digits	Year
5587139	11174279	8	~1984
5587199	11174399	8	~1984
5587391	44699129	8	~1985
5587583	11175167	8	~1984
5587859	11175719	8	~1984
5588123	11176247	8	~1984
5588137	33528823	8	~1985
5588483	11176967	8	~1984
5588573	33531439	8	~1985
5588837	78243719	8	~1986
5588857	89421713	8	~1986
5589019	357697217	9	~1987
5589131	44713049	8	~1985
5589317	33535903	8	~1985
5589349	122965679	9	~1986
5589443	11178887	8	~1984
5589911	11179823	8	~1984
5590103	11180207	8	~1984
5590337	44722697	8	~1985
5590339	55903391	8	~1985
5590573	33543439	8	~1985
5590759	55907591	8	~1985
5590919	11181839	8	~1984
5591039	11182079	8	~1984
5591771	6754859369	10	~1991

Exp.	Prime Factor	Digits	Year
5591819	11183639	8	~1984
5591987	145391663	9	~1986
5592011	11184023	8	~1984
5592131	11184263	8	~1984
5592199	100659583	9	~1986
5592227	44737817	8	~1985
5592733	33556399	8	~1985
5592827	100670887	9	~1986
5592919	55929191	8	~1985
5593171	100677079	9	~1986
5593319	11186639	8	~1984
5593463	11186927	8	~1984
5593501	33561007	8	~1985
5593559	11187119	8	~1984
5593751	11187503	8	~1984
5593759	134250217	9	~1986
5593811	11187623	8	~1984
5594027	44752217	8	~1985
5594441	33566647	8	~1985
5594591	11189183	8	~1984
5594621	33567727	8	~1985
5594747	134273929	9	~1986
5594843	11189687	8	~1984
5594929	268556593	9	~1987
5595059	11190119	8	~1984

Exp.	Prime Factor	Digits	Year
5595061	33570367	8	~1985
5595179	11190359	8	~1984
5595277	33571663	8	~1985
5595389	44763113	8	~1985
5595559	55955591	8	~1985
5595587	44764697	8	~1985
5595613	33573679	8	~1985
5595731	11191463	8	~1984
5595929	44767433	8	~1985
5595979	100727623	9	~1986
5596133	313383449	9	~1987
5596183	55961831	8	~1985
5596277	44770217	8	~1985
5596307	44770457	8	~1985
5596403	11192807	8	~1984
5596499	11192999	8	~1984
5596673	33580039	8	~1985
5596813	134323513	9	~1986
5597099	11194199	8	~1984
5597351	44778809	8	~1985
5597461	33584767	8	~1985
5597897	44783177	8	~1985
5598067	55980671	8	~1985
5598077	44784617	8	~1985
5598077	78373079	8

5.247.179 digits

25-12-14