Small Mersenne Prime Factors (page 812/5460)

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
6472859	12945719	8	~1984
6472877	38837263	8	~1985
6472967	51783737	8	~1986
6472987	64729871	8	~1986
6473011	103568177	9	~1986
6473231	12946463	8	~1984
6473297	38839783	8	~1985
6473323	64733231	8	~1986
6473347	116520247	9	~1987
6473399	12946799	8	~1984
6473609	51788873	8	~1986
6473963	12947927	8	~1984
6474053	38844319	8	~1985
6474239	12948479	8	~1984
6474397	38846383	8	~1985
6474557	51796457	8	~1986
6474731	12949463	8	~1984
6474931	103598897	9	~1986
6474959	12949919	8	~1984
6475061	38850367	8	~1985
6475097	38850583	8	~1985
6475459	155411017	9	~1987
6475517	38853103	8	~1985
6475619	51804953	8	~1986
6475643	12951287	8	~1984

Exp.	Prime Factor	Digits	Year
6475883	12951767	8	~1984
6476003	12952007	8	~1984
6476297	51810377	8	~1986
6476347	64763471	8	~1986
6476417	51811337	8	~1986
6476467	64764671	8	~1986
6476471	12952943	8	~1984
6476699	12953399	8	~1984
6477161	51817289	8	~1986
6477199	64771991	8	~1986
6477203	12954407	8	~1984
6477253	38863519	8	~1985
6477623	12955247	8	~1984
6477683	12955367	8	~1984
6477857	51822857	8	~1986
6477929	51823433	8	~1986
6478061	51824489	8	~1986
6478379	12956759	8	~1984
6478453	142525967	9	~1987
6478463	12956927	8	~1984
6478543	64785431	8	~1986
6478673	38872039	8	~1985
6479041	194371231	9	~1987
6479173	103666769	9	~1986
6479357	38876143	8	~1985

Exp.	Prime Factor	Digits	Year
6479633	90714863	8	~1986
6479831	12959663	8	~1984
6479831	51838649	8
6480011	12960023	8	~1984
6480017	38880103	8	~1985
6480053	38880319	8	~1985
6480191	12960383	8	~1984
6480233	38881399	8	~1985
6480359	12960719	8	~1984
6480421	38882527	8	~1985
6480931	103694897	9	~1986
6480959	12961919	8	~1984
6480997	38885983	8	~1985
6481219	64812191	8	~1986
6481303	64813031	8	~1986
6481571	12963143	8	~1984
6481619	51852953	8	~1986
6481873	38891239	8	~1985
6482129	518570321	9	~1988
6482129	713034191	9
6482521	38895127	8	~1985
6482537	51860297	8	~1986
6482579	12965159	8	~1984
6482741	38896447	8	~1985
6482767	376000487	9	~1988

Exp.	Prime Factor	Digits	Year
6482783	12965567	8	~1984
6482891	12965783	8	~1984
6482891	51863129	8
6483011	51864089	8	~1986
6483053	38898319	8	~1985
6483109	142628399	9	~1987
6483563	12967127	8	~1984
6483761	51870089	8	~1986
6483793	155611033	9	~1987
6483803	324190151	9	~1988
6483833	38902999	8	~1985
6483839	12967679	8	~1984
6483941	51871529	8	~1986
6484063	64840631	8	~1986
6484319	12968639	8	~1984
6484343	12968687	8	~1984
6484433	38906599	8	~1985
6484561	38907367	8	~1985
6484901	38909407	8	~1985
6485207	51881657	8	~1986
6485243	12970487	8	~1984
6485291	12970583	8	~1984
6485461	38912767	8	~1985
6485543	12971087	8	~1984
6485867	311321617	9	~1988

5.157.210 digits

25-11-02