Small Mersenne Prime Factors (page 764/4665)

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
6373571	50988569	8	~1986
6373837	1516973207	10	~1989
6373931	12747863	8	~1984
6374051	12748103	8	~1984
6374057	38244343	8	~1985
6374213	38245279	8	~1985
6374339	12748679	8	~1984
6374573	38247439	8	~1985
6374831	12749663	8	~1984
6375191	12750383	8	~1984
6375557	38253343	8	~1985
6375557	89257799	8
6375701	38254207	8	~1985
6375947	51007577	8	~1986
6375959	12751919	8	~1984
6376031	12752063	8	~1984
6376031	51008249	8
6376057	38256343	8	~1985
6376081	38256487	8	~1985
6376133	89265863	8	~1986
6376399	114775183	9	~1986
6376453	102023249	9	~1986
6376739	51013913	8	~1986
6376829	51014633	8	~1986
6377081	38262487	8	~1985

Exp.	Prime Factor	Digits	Year
6377177	38263063	8	~1985
6377411	51019289	8	~1986
6377603	12755207	8	~1984
6377639	12755279	8	~1984
6377753	38266519	8	~1985
6377773	38266639	8	~1985
6377951	12755903	8	~1984
6377963	12755927	8	~1984
6378389	51027113	8	~1986
6378563	12757127	8	~1984
6378767	51030137	8	~1986
6378781	38272687	8	~1985
6379049	89306687	8	~1986
6379091	12758183	8	~1984
6379237	38275423	8	~1985
6379283	12758567	8	~1984
6379531	63795311	8	~1986
6379819	63798191	8	~1986
6379883	12759767	8	~1984
6380027	51040217	8	~1986
6380161	38280967	8	~1985
6380263	63802631	8	~1986
6380497	38282983	8	~1985
6381059	12762119	8	~1984
6381077	51048617	8	~1986

Exp.	Prime Factor	Digits	Year
6381217	38287303	8	~1985
6381251	51050009	8	~1986
6381299	12762599	8	~1984
6381337	38288023	8	~1985
6381497	38288983	8	~1985
6381671	12763343	8	~1984
6381719	51053753	8	~1986
6381863	12763727	8	~1984
6382073	38292439	8	~1985
6382139	51057113	8	~1986
6382151	12764303	8	~1984
6382199	51057593	8	~1986
6382469	51059753	8	~1986
6382583	12765167	8	~1984
6382811	51062489	8	~1986
6382951	63829511	8	~1986
6383261	38299567	8	~1985
6383317	38299903	8	~1985
6383453	38300719	8	~1985
6383609	153206617	9	~1987
6383621	38301727	8	~1985
6383893	446872511	9	~1988
6384359	12768719	8	~1984
6384619	63846191	8	~1986
6385117	38310703	8	~1985

Exp.	Prime Factor	Digits	Year
6385399	63853991	8	~1986
6385733	38314399	8	~1985
6385739	51085913	8	~1986
6385741	102171857	9	~1986
6385751	12771503	8	~1984
6385859	12771719	8	~1984
6385997	38315983	8	~1985
6386749	140508479	9	~1987
6387041	242707559	9	~1987
6387061	293804807	9	~1987
6387131	51097049	8	~1986
6387383	12774767	8	~1984
6387413	38324479	8	~1985
6387961	38327767	8	~1985
6387977	51103817	8	~1986
6388337	51106697	8	~1986
6388391	12776783	8	~1984
6388607	51108857	8	~1986
6388691	12777383	8	~1984
6388973	38333839	8	~1985
6389021	51112169	8	~1986
6389083	63890831	8	~1986
6389177	89448479	8	~1986
6389213	38335279	8	~1985
6389771	357827177	9	~1988

4.368.158 digits

24-10-27