Small Mersenne Prime Factors (page 732/5205)

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
5586793	33520759	8	~1985
5586883	55868831	8	~1985
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

Exp.	Prime Factor	Digits	Year
5591039	11182079	8	~1984
5591771	6754859369	10	~1990
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

Exp.	Prime Factor	Digits	Year
5594929	268556593	9	~1987
5595059	11190119	8	~1984
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

Exp.	Prime Factor	Digits	Year
5598077	44784617	8	~1985
5598077	78373079	8
5598251	11196503	8	~1984
5598371	11196743	8	~1984
5598473	33590839	8	~1985
5598617	78380639	8	~1986
5598623	11197247	8	~1984
5598871	55988711	8	~1985
5598883	134373193	9	~1986
5599019	11198039	8	~1984
5599081	33594487	8	~1985
5599463	11198927	8	~1984
5599507	134388169	9	~1986
5599571	11199143	8	~1984
5599591	100792639	9	~1986
5599679	11199359	8	~1984
5599799	44798393	8	~1985
5599961	33599767	8	~1985
5600143	56001431	8	~1985
5600279	11200559	8	~1984
5600729	44805833	8	~1985
5601061	33606367	8	~1985
5601269	44810153	8	~1985
5601781	224071241	9	~1987
5601833	33610999	8	~1985

4.903.097 digits

25-07-08