Small Mersenne Prime Factors (page 308/5610)

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
1378253	8269519	7	~1980
1378319	2756639	7	~1979
1378373	33080953	8	~1982
1378427	11027417	8	~1980
1378441	22055057	8	~1981
1378703	57905527	8	~1982
1378777	22060433	8	~1981
1378801	22060817	8	~1981
1378961	11031689	8	~1980
1378997	350265239	9	~1984
1379239	21803010113	11	~1988
1379291	11034329	8	~1980
1379473	240028303	9	~1984
1379519	2759039	7	~1979
1379549	52422863	8	~1982
1379621	11036969	8	~1980
1379641	30352103	8	~1981
1379797	8278783	7	~1980
1379803	91066999	8	~1983
1379857	438794527	9	~1984
1380221	11041769	8	~1980
1380251	124222591	9	~1983
1380277	33126649	8	~1982
1380289	30366359	8	~1981
1380419	2760839	7	~1979

Exp.	Prime Factor	Digits	Year
1380419	33130057	8
1380419	157367767	9
1380611	2761223	7	~1979
1380677	11045417	8	~1980
1380707	35898383	8	~1982
1380779	2761559	7	~1979
1380781	8284687	7	~1980
1380931	13809311	8	~1981
1380947	24857047	8	~1981
1380949	30380879	8	~1981
1380949	33142777	8
1380959	58000279	8	~1982
1380971	2761943	7	~1979
1380997	41429911	8	~1982
1381187	11049497	8	~1980
1381231	13812311	8	~1981
1381349	41440471	8	~1982
1381397	77358233	8	~1982
1381409	11051273	8	~1980
1381421	317726831	9	~1984
1381493	99467497	8	~1983
1381559	2763119	7	~1979
1381643	2763287	7	~1979
1381727	11053817	8	~1980
1381739	44215649	8	~1982

Exp.	Prime Factor	Digits	Year
1381901	8291407	7	~1980
1381993	22111889	8	~1981
1382099	2764199	7	~1979
1382123	2764247	7	~1979
1382221	22115537	8	~1981
1382237	8293423	7	~1980
1382477	19354679	8	~1981
1382477	52534127	8
1382519	2765039	7	~1979
1382651	2765303	7	~1979
1382663	257175319	9	~1984
1382677	41480311	8	~1982
1382891	2765783	7	~1979
1382939	2765879	7	~1979
1383209	41496271	8	~1982
1383323	44266337	8	~1982
1383377	41501311	8	~1982
1383449	52571063	8	~1982
1383517	8301103	7	~1980
1383659	2767319	7	~1979
1383737	8302423	7	~1980
1383959	58126279	8	~1982
1384027	13840271	8	~1981
1384087	66436177	8	~1982
1384099	47059367	8	~1982

Exp.	Prime Factor	Digits	Year
1384231	124580791	9	~1983
1384349	19380887	8	~1981
1384391	2768783	7	~1979
1384507	22152113	8	~1981
1384661	41539831	8	~1982
1384679	2769359	7	~1979
1384813	8308879	7	~1980
1384879	24927823	8	~1981
1384921	8309527	7	~1980
1384951	132955297	9	~1983
1385017	221602721	9	~1984
1385051	11080409	8	~1980
1385051	58172143	8
1385071	221611361	9	~1984
1385093	19391303	8	~1981
1385099	2770199	7	~1979
1385101	22161617	8	~1981
1385117	8310703	7	~1980
1385183	2770367	7	~1979
1385213	8311279	7	~1980
1385291	2770583	7	~1979
1385291	11082329	8
1385399	2770799	7	~1979
1385507	33252169	8	~1982
1385561	66506929	8	~1982

5.307.017 digits

26-01-11