Small Mersenne Prime Factors (page 542/5340)

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
3364199	6728399	7	~1982
3364241	242225353	9	~1986
3364253	20185519	8	~1983
3364267	33642671	8	~1984
3364379	6728759	7	~1982
3364421	20186527	8	~1983
3364469	26915753	8	~1983
3364553	20187319	8	~1983
3364687	33646871	8	~1984
3364799	26918393	8	~1983
3364813	20188879	8	~1983
3364913	20189479	8	~1983
3365111	26920889	8	~1983
3365171	6730343	7	~1982
3365171	26921369	8
3365191	60573439	8	~1984
3365251	53844017	8	~1984
3365377	53846033	8	~1984
3365387	1238462417	10	~1988
3365393	80769433	8	~1985
3365443	33654431	8	~1984
3365563	80773513	8	~1985
3365591	6731183	7	~1982
3365647	33656471	8	~1984
3365671	141358183	9	~1985

Exp.	Prime Factor	Digits	Year
3365771	87510047	8	~1985
3365819	6731639	7	~1982
3365851	53853617	8	~1984
3365863	33658631	8	~1984
3365963	6731927	7	~1982
3365969	100979071	9	~1985
3366037	80784889	8	~1985
3366179	6732359	7	~1982
3366299	6732599	7	~1982
3366347	1292677249	10	~1988
3366367	114456479	9	~1985
3366677	47133479	8	~1984
3366827	26934617	8	~1983
3366899	26935193	8	~1983
3366911	6733823	7	~1982
3366983	350166233	9	~1986
3367157	20202943	8	~1983
3367157	26937257	8
3367163	6734327	7	~1982
3367193	101015791	9	~1985
3367433	107757857	9	~1985
3367447	33674471	8	~1984
3367517	20205103	8	~1983
3367733	47148263	8	~1984
3367811	6735623	7	~1982

Exp.	Prime Factor	Digits	Year
3367823	6735647	7	~1982
3367919	60622543	8	~1984
3367927	33679271	8	~1984
3368171	6736343	7	~1982
3368201	20209207	8	~1983
3368381	26947049	8	~1983
3368411	6736823	7	~1982
3368531	6737063	7	~1982
3368593	20211559	8	~1983
3368791	33687911	8	~1984
3368791	53900657	8
3368899	60640183	8	~1984
3368903	6737807	7	~1982
3368951	6737903	7	~1982
3368951	26951609	8
3368993	20213959	8	~1983
3369089	26952713	8	~1983
3369193	74122247	8	~1985
3369199	33691991	8	~1984
3369329	80863897	8	~1985
3369341	20216047	8	~1983
3369371	2695496801	10	~1988
3369533	47173463	8	~1984
3369599	6739199	7	~1982
3369697	20218183	8	~1983

Exp.	Prime Factor	Digits	Year
3369761	20218567	8	~1983
3369809	47177327	8	~1984
3370001	20220007	8	~1983
3370043	6740087	7	~1982
3370313	20221879	8	~1983
3370531	33705311	8	~1984
3370691	87637967	8	~1985
3370883	6741767	7	~1982
3370943	6741887	7	~1982
3370967	269677361	9	~1986
3371153	47196143	8	~1984
3371237	26969897	8	~1983
3371579	6743159	7	~1982
3371579	60688423	8
3371663	6743327	7	~1982
3371843	6743687	7	~1982
3371947	53951153	8	~1984
3372067	53953073	8	~1984
3372067	114650279	9
3372077	26976617	8	~1983
3372119	6744239	7	~1982
3372151	33721511	8	~1984
3372157	53954513	8	~1984
3372157	101164711	9
3372437	26979497	8	~1983

5.037.460 digits

25-09-07