Small Mersenne Prime Factors (page 27/5025)

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
37619	780142823	9
37643	1581007	7	1965
37643	235795753	9
37657	602513	6	1965
37657	6025121	7
37657	11673671	8
37663	15065201	8	1965
37781	4155911	7	1965
37781	343882663	9
37783	131182577	9	~1975
37811	3402991	7	1965
37813	1134391	7	1965
37861	1514441	7	1965
37861	4543321	7
37871	75743	5	1965
37957	227743	6	1965
37957	1518281	7
37957	15410543	8
37957	63691847	8
37991	75983	5	1965
38011	25543393	8	1965
38039	76079	5	1965
38069	304553	6	1965
38153	5799257	7	1965
38183	76367	5	1965

Exp.	Prime Factor	Digits	Year
38189	534647	6	1965
38189	6644887	7
38231	76463	5	1965
38231	688159	6
38237	229423	6	1965
38237	535319	6
38281	26337329	8	1965
38299	689383	6	1965
38303	76607	5	1965
38321	75415729	8	~1974
38327	3986009	7	1965
38377	4528487	7	1965
38377	4605241	7
38447	307577	6	1965
38449	845879	6	1965
38459	76919	5	1965
38459	1922951	7
38459	2845967	7
38461	230767	6	1965
38461	1538441	7
38543	21044479	8	1965
38609	71581087	8	~1974
38611	694999	6	1965
38611	1853329	7
38629	849839	6	1965

Exp.	Prime Factor	Digits	Year
38639	77279	5	1965
38653	231919	6	1965
38669	6109703	7	1965
38669	19489177	8
38699	48373751	8	~1974
38723	77447	5	1965
38737	619793	6	1965
38783	53753239	8	~1974
38833	1164991	7	1965
38839	388391	6	1965
38851	54779911	8	~1974
38891	77783	5	1965
38903	11281871	8	1965
38921	50441617	8	~1974
38933	5606353	7	1965
38953	32720521	8	1965
38959	1324607	7	1965
38993	5614993	7	1965
39047	702847	6	1965
39079	21258977	8	1965
39103	9775751	7	1965
39113	938713	6	1965
39139	1565561	7	1965
39161	234967	6	1965
39209	548927	6	1965

Exp.	Prime Factor	Digits	Year
39209	1254689	7
39209	2117287	7
39227	2588983	7	1965
39239	78479	5	1965
39241	235447	6	1965
39323	24852137	8	1965
39359	14169241	8	1965
39371	1259873	7	1965
39373	2756111	7	1965
39419	78839	5	1965
39419	5439823	7
39439	1577561	7	1965
39443	78887	5	1965
39499	293635567	9	1976
39509	316073	6	1965
39551	79103	5	1965
39563	949513	6	1965
39581	237487	6	1965
39659	79319	5	1965
39667	3808033	7	1965
39703	635249	6	1965
39733	635729	6	1965
39733	44500961	8
39749	556487	6	1965
39779	79559	5	1965

4.724.182 digits

25-04-13