Small Mersenne Prime Factors (page 728/5190)

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
5544509	44356073	8	~1985
5544659	11089319	8	~1984
5544683	11089367	8	~1984
5544689	44357513	8	~1985
5544743	11089487	8	~1984
5544779	44358233	8	~1985
5544821	33268927	8	~1985
5544911	11089823	8	~1984
5544971	11089943	8	~1984
5545481	33272887	8	~1985
5545499	11090999	8	~1984
5545567	55455671	8	~1985
5545649	44365193	8	~1985
5545697	33274183	8	~1985
5545751	11091503	8	~1984
5545871	44366969	8	~1985
5545913	166377391	9	~1987
5546393	33278359	8	~1985
5546479	133115497	9	~1986
5546483	11092967	8	~1984
5546543	11093087	8	~1984
5546753	33280519	8	~1985
5546771	11093543	8	~1984
5546903	11093807	8	~1984
5547011	11094023	8	~1984

Exp.	Prime Factor	Digits	Year
5547247	55472471	8	~1985
5547317	77662439	8	~1986
5547371	44378969	8	~1985
5547467	44379737	8	~1985
5547499	221899961	9	~1987
5547599	11095199	8	~1984
5547733	33286399	8	~1985
5547779	11095559	8	~1984
5547863	11095727	8	~1984
5547911	11095823	8	~1984
5547959	11095919	8	~1984
5548013	1509059537	10	~1989
5548339	55483391	8	~1985
5548457	44387657	8	~1985
5548619	11097239	8	~1984
5548811	11097623	8	~1984
5548843	399516697	9	~1987
5548897	33293383	8	~1985
5548937	44391497	8	~1985
5548999	55489991	8	~1985
5549051	11098103	8	~1984
5549189	44393513	8	~1985
5549393	33296359	8	~1985
5549591	11099183	8	~1984
5549617	33297703	8	~1985

Exp.	Prime Factor	Digits	Year
5549657	44397257	8	~1985
5549891	11099783	8	~1984
5549927	932387737	9	~1988
5549977	33299863	8	~1985
5550059	11100119	8	~1984
5550439	55504391	8	~1985
5550529	222021161	9	~1987
5550683	11101367	8	~1984
5550733	33304399	8	~1985
5551037	33306223	8	~1985
5551079	11102159	8	~1984
5551321	33307927	8	~1985
5551829	77725607	8	~1986
5551853	77725943	8	~1986
5551921	33311527	8	~1985
5552003	11104007	8	~1984
5552231	177671393	9	~1987
5552381	33314287	8	~1985
5552411	11104823	8	~1984
5552581	33315487	8	~1985
5552773	33316639	8	~1985
5552819	133267657	9	~1986
5552947	133270729	9	~1986
5552971	99953479	8	~1986
5553083	11106167	8	~1984

Exp.	Prime Factor	Digits	Year
5553211	55532111	8	~1985
5553211	88851377	8
5553503	11107007	8	~1984
5553539	11107079	8	~1984
5553641	44429129	8	~1985
5553809	166614271	9	~1987
5553827	144399503	9	~1986
5553839	277691951	9	~1987
5553853	255477239	9	~1987
5553887	44431097	8	~1985
5553979	55539791	8	~1985
5554093	33324559	8	~1985
5554141	33324847	8	~1985
5554151	11108303	8	~1984
5554169	44433353	8	~1985
5554357	33326143	8	~1985
5554513	33327079	8	~1985
5554739	11109479	8	~1984
5555117	44440937	8	~1985
5555219	11110439	8	~1984
5555219	44441753	8
5555233	33331399	8	~1985
5555237	33331423	8	~1985
5555237	44441897	8
5555653	33333919	8	~1985

4.888.230 digits

25-06-29