Small Mersenne Prime Factors (page 854/5025)

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
7395803	14791607	8	~1985
7395851	14791703	8	~1985
7396237	44377423	8	~1986
7396267	73962671	8	~1986
7396273	44377639	8	~1986
7396297	44377783	8	~1986
7396307	59170457	8	~1986
7396439	14792879	8	~1985
7396601	59172809	8	~1986
7396747	118347953	9	~1987
7396859	177524617	9	~1987
7396897	44381383	8	~1986
7396913	44381479	8	~1986
7397063	14794127	8	~1985
7397279	59178233	8	~1986
7397321	59178569	8	~1986
7397399	14794799	8	~1985
7397617	44385703	8	~1986
7397633	103566863	9	~1987
7397699	14795399	8	~1985
7397857	44387143	8	~1986
7398563	14797127	8	~1985
7398899	14797799	8	~1985
7398931	118382897	9	~1987
7398953	44393719	8	~1986

Exp.	Prime Factor	Digits	Year
7399079	14798159	8	~1985
7399181	947095169	9	~1989
7399319	14798639	8	~1985
7399577	103594079	9	~1987
7399631	14799263	8	~1985
7399643	14799287	8	~1985
7399697	44398183	8	~1986
7399993	517999511	9	~1988
7400021	44400127	8	~1986
7400051	14800103	8	~1985
7400279	14800559	8	~1985
7400293	44401759	8	~1986
7400297	44401783	8	~1986
7400303	14800607	8	~1985
7400461	44402767	8	~1986
7400489	59203913	8	~1986
7400891	14801783	8	~1985
7400903	14801807	8	~1985
7401143	14802287	8	~1985
7401497	44408983	8	~1986
7401599	14803199	8	~1985
7401731	14803463	8	~1985
7401899	14803799	8	~1985
7402097	44412583	8	~1986
7402097	59216777	8

Exp.	Prime Factor	Digits	Year
7402561	44415367	8	~1986
7402631	59221049	8	~1986
7402781	59222249	8	~1986
7403191	310934023	9	~1988
7403257	577454047	9	~1989
7403269	355356913	9	~1988
7403321	44419927	8	~1986
7403339	14806679	8	~1985
7403471	14806943	8	~1985
7403531	14807063	8	~1985
7403531	59228249	8
7403771	14807543	8	~1985
7403843	14807687	8	~1985
7404307	74043071	8	~1986
7404389	103661447	9	~1987
7404437	44426623	8	~1986
7404731	14809463	8	~1985
7404899	14809799	8	~1985
7405477	44432863	8	~1986
7405501	118488017	9	~1987
7405507	177732169	9	~1987
7405571	14811143	8	~1985
7405613	44433679	8	~1986
7405613	103678583	9
7405639	74056391	8	~1986

Exp.	Prime Factor	Digits	Year
7405667	414717353	9	~1988
7405691	14811383	8	~1985
7405757	44434543	8	~1986
7406041	44436247	8	~1986
7406099	14812199	8	~1985
7406111	14812223	8	~1985
7406297	103688159	9	~1987
7406309	59250473	8	~1986
7406351	14812703	8	~1985
7406579	14813159	8	~1985
7406603	14813207	8	~1985
7406807	59254457	8	~1986
7406957	59255657	8	~1986
7406963	14813927	8	~1985
7407097	44442583	8	~1986
7407299	59258393	8	~1986
7407611	14815223	8	~1985
7407637	44445823	8	~1986
7407761	59262089	8	~1986
7408087	74080871	8	~1986
7408241	59265929	8	~1986
7408301	44449807	8	~1986
7408301	59266409	8
7408649	103721087	9	~1987
7408813	44452879	8	~1986

4.724.182 digits

25-04-13