Small Mersenne Prime Factors (page 724/5025)

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
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
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

Exp.	Prime Factor	Digits	Year
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
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

Exp.	Prime Factor	Digits	Year
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
5601863	11203727	8	~1984
5601923	11203847	8	~1984
5602139	11204279	8	~1984
5602411	100843399	9	~1986
5602451	11204903	8	~1984
5602559	11205119	8	~1984
5602631	11205263	8	~1984
5602643	11205287	8	~1984
5602679	44821433	8	~1985
5602703	11205407	8	~1984
5602871	11205743	8	~1984
5602897	89646353	8	~1986
5602931	11205863	8	~1984

Exp.	Prime Factor	Digits	Year
5602939	134470537	9	~1986
5602973	134471353	9	~1986
5603051	11206103	8	~1984
5603291	11206583	8	~1984
5603501	44828009	8	~1985
5603519	11207039	8	~1984
5603891	11207783	8	~1984
5603933	33623599	8	~1985
5604251	11208503	8	~1984
5604359	11208719	8	~1984
5604367	134504809	9	~1986
5604719	11209439	8	~1984
5604881	33629287	8	~1985
5604881	44839049	8
5605253	33631519	8	~1985
5605471	56054711	8	~1985
5605493	33632959	8	~1985
5605679	11211359	8	~1984
5605739	11211479	8	~1984
5605771	56057711	8	~1985
5605811	11211623	8	~1984
5605811	44846489	8
5605927	56059271	8	~1985
5606281	33637687	8	~1985
5606281	123338183	9

4.724.182 digits

25-04-13