Small Mersenne Prime Factors (page 793/4665)

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
6788459	13576919	8	~1984
6788591	13577183	8	~1984
6788609	54308873	8	~1986
6788651	13577303	8	~1984
6788737	40732423	8	~1985
6788897	40733383	8	~1985
6789281	40735687	8	~1985
6789323	13578647	8	~1984
6789401	40736407	8	~1985
6789983	13579967	8	~1984
6790859	13581719	8	~1984
6790921	40745527	8	~1985
6791231	13582463	8	~1984
6791333	40747999	8	~1985
6791383	67913831	8	~1986
6791399	13582799	8	~1984
6791881	40751287	8	~1985
6792011	13584023	8	~1984
6792179	54337433	8	~1986
6792307	108676913	9	~1987
6792857	95099999	8	~1986
6793019	13586039	8	~1984
6793141	149449103	9	~1987
6793181	40759087	8	~1985
6793379	13586759	8	~1984

Exp.	Prime Factor	Digits	Year
6793399	67933991	8	~1986
6793399	122281183	9
6793499	13586999	8	~1984
6793651	1086984161	10	~1989
6794423	13588847	8	~1984
6794813	40768879	8	~1985
6795023	13590047	8	~1984
6795203	13590407	8	~1984
6795263	13590527	8	~1984
6795539	13591079	8	~1984
6795629	54365033	8	~1986
6795983	13591967	8	~1984
6796199	13592399	8	~1984
6796571	13593143	8	~1984
6796571	54372569	8
6796577	40779463	8	~1985
6796633	40779799	8	~1985
6796763	13593527	8	~1984
6796987	67969871	8	~1986
6797033	40782199	8	~1985
6797051	13594103	8	~1984
6797051	54376409	8
6797057	54376457	8	~1986
6797111	13594223	8	~1984
6797111	122347999	9

Exp.	Prime Factor	Digits	Year
6797257	40783543	8	~1985
6797293	40783759	8	~1985
6797317	40783903	8	~1985
6797579	13595159	8	~1984
6797963	13595927	8	~1984
6798059	13596119	8	~1984
6798299	13596599	8	~1984
6798377	40790263	8	~1985
6798413	40790479	8	~1985
6798763	67987631	8	~1986
6798797	40792783	8	~1985
6799033	40794199	8	~1985
6799109	54392873	8	~1986
6799139	13598279	8	~1984
6799159	67991591	8	~1986
6799313	40795879	8	~1985
6799781	40798687	8	~1985
6799937	40799623	8	~1985
6799993	40799959	8	~1985
6800279	54402233	8	~1986
6800291	13600583	8	~1984
6800317	40801903	8	~1985
6800639	13601279	8	~1984
6800903	13601807	8	~1984
6800999	13601999	8	~1984

Exp.	Prime Factor	Digits	Year
6801023	13602047	8	~1984
6801143	13602287	8	~1984
6801383	13602767	8	~1984
6801407	54411257	8	~1986
6801577	40809463	8	~1985
6801761	54414089	8	~1986
6801923	13603847	8	~1984
6801961	40811767	8	~1985
6802093	40812559	8	~1985
6802121	40812727	8	~1985
6802217	40813303	8	~1985
6802259	13604519	8	~1984
6802283	176859359	9	~1987
6802331	13604663	8	~1984
6802343	13604687	8	~1984
6802541	54420329	8	~1986
6802751	122449519	9	~1987
6803053	40818319	8	~1985
6803473	40820839	8	~1985
6803711	13607423	8	~1984
6803903	13607807	8	~1984
6804689	95265647	8	~1986
6805069	163321657	9	~1987
6805109	530798503	9	~1988
6805181	54441449	8	~1986

4.368.158 digits

24-10-27