Small Mersenne Prime Factors (page 769/5745)

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
5758523	11517047	8	~1984
5758619	11517239	8	~1984
5758943	11517887	8	~1984
5759111	11518223	8	~1984
5759647	57596471	8	~1986
5759693	34558159	8	~1985
5759779	57597791	8	~1986
5759851	92157617	8	~1986
5759953	34559719	8	~1985
5759953	921592481	9
5760101	46080809	8	~1985
5760259	57602591	8	~1986
5760431	11520863	8	~1984
5760437	34562623	8	~1985
5760631	472371743	9	~1988
5760767	46086137	8	~1985
5760803	11521607	8	~1984
5760817	92173073	8	~1986
5760877	138261049	9	~1986
5760899	11521799	8	~1984
5760983	11521967	8	~1984
5761043	11522087	8	~1984
5761081	34566487	8	~1985
5761193	80656703	8	~1986
5761271	11522543	8	~1984

Exp.	Prime Factor	Digits	Year
5761331	11522663	8	~1984
5761387	103704967	9	~1986
5761439	11522879	8	~1984
5761499	11522999	8	~1984
5761559	11523119	8	~1984
5761919	11523839	8	~1984
5761927	57619271	8	~1986
5761993	265051679	9	~1987
5762027	46096217	8	~1985
5762041	34572247	8	~1985
5762219	11524439	8	~1984
5762723	11525447	8	~1984
5762831	11525663	8	~1984
5762863	57628631	8	~1986
5762917	34577503	8	~1985
5763011	11526023	8	~1984
5763071	11526143	8	~1984
5763143	11526287	8	~1984
5763481	126796583	9	~1986
5763557	34581343	8	~1985
5763647	149854823	9	~1987
5763683	11527367	8	~1984
5763817	34582903	8	~1985
5763839	11527679	8	~1984
5763893	34583359	8	~1985

Exp.	Prime Factor	Digits	Year
5763917	34583503	8	~1985
5763959	46111673	8	~1985
5764063	57640631	8	~1986
5764091	11528183	8	~1984
5764117	34584703	8	~1985
5764259	11528519	8	~1984
5764303	57643031	8	~1986
5764511	103761199	9	~1986
5764531	57645311	8	~1986
5764541	34587247	8	~1985
5764763	11529527	8	~1984
5764873	34589239	8	~1985
5765143	645696017	9	~1988
5765209	230608361	9	~1987
5765233	34591399	8	~1985
5765317	34591903	8	~1985
5765351	11530703	8	~1984
5765471	46123769	8	~1985
5765603	11531207	8	~1984
5765653	34593919	8	~1985
5765699	46125593	8	~1985
5765951	11531903	8	~1984
5766023	11532047	8	~1984
5766083	11532167	8	~1984
5766113	138386713	9	~1986

Exp.	Prime Factor	Digits	Year
5766133	34596799	8	~1985
5766373	92261969	8	~1986
5766749	46133993	8	~1985
5766779	11533559	8	~1984
5766977	34601863	8	~1985
5767049	46136393	8	~1985
5767171	92274737	8	~1986
5767297	34603783	8	~1985
5767339	57673391	8	~1986
5767577	80746079	8	~1986
5768233	92291729	8	~1986
5768317	34609903	8	~1985
5768473	34610839	8	~1985
5768531	11537063	8	~1984
5768731	230749241	9	~1987
5768803	92300849	8	~1986
5768897	46151177	8	~1985
5769053	34614319	8	~1985
5769161	173074831	9	~1987
5769461	34616767	8	~1985
5769557	34617343	8	~1985
5769719	11539439	8	~1984
5769823	242332567	9	~1987
5769833	726998959	9	~1988
5770031	380822047	9	~1988

5.441.361 digits

26-03-15