Small Mersenne Prime Factors (page 1015/5670)

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
9270557	74164457	8	~1987
9270637	55623823	8	~1987
9270977	74167817	8	~1987
9271153	55626919	8	~1987
9271337	129798719	9	~1987
9271421	74171369	8	~1987
9271583	18543167	8	~1985
9271637	55629823	8	~1987
9271739	18543479	8	~1985
9271861	55631167	8	~1987
9271877	55631263	8	~1987
9272339	18544679	8	~1985
9272603	18545207	8	~1985
9272797	55636783	8	~1987
9272833	222547993	9	~1988
9272951	18545903	8	~1985
9273191	18546383	8	~1985
9273217	55639303	8	~1987
9273317	129826439	9	~1987
9273541	55641247	8	~1987
9273799	92737991	8	~1987
9273923	18547847	8	~1985
9274081	55644487	8	~1987
9274217	74193737	8	~1987
9274277	278228311	9	~1988

Exp.	Prime Factor	Digits	Year
9274513	55647079	8	~1987
9274781	55648687	8	~1987
9274871	18549743	8	~1985
9274883	18549767	8	~1985
9275023	1428353543	10	~1990
9275039	18550079	8	~1985
9275177	74201417	8	~1987
9275219	18550439	8	~1985
9275381	74203049	8	~1987
9275879	18551759	8	~1985
9275951	18551903	8	~1985
9276019	92760191	8	~1987
9276023	18552047	8	~1985
9276119	18552239	8	~1985
9276539	18553079	8	~1985
9276671	18553343	8	~1985
9276739	166981303	9	~1988
9276991	890591137	9	~1990
9277031	166986559	9	~1988
9277043	18554087	8	~1985
9277127	519519113	9	~1989
9277199	74217593	8	~1987
9277403	18554807	8	~1985
9277421	55664527	8	~1987
9277451	18554903	8	~1985

Exp.	Prime Factor	Digits	Year
9277979	74223833	8	~1987
9278459	18556919	8	~1985
9278513	55671079	8	~1987
9278837	74230697	8	~1987
9278891	18557783	8	~1985
9278909	74231273	8	~1987
9279191	74233529	8	~1987
9279659	18559319	8	~1985
9279737	74237897	8	~1987
9279737	445427377	9
9279863	18559727	8	~1985
9279953	55679719	8	~1987
9279983	18559967	8	~1985
9280091	18560183	8	~1985
9280387	167046967	9	~1988
9280541	74244329	8	~1987
9280703	18561407	8	~1985
9280751	18561503	8	~1985
9280757	222738169	9	~1988
9280919	74247353	8	~1987
9281003	18562007	8	~1985
9281171	18562343	8	~1985
9281423	18562847	8	~1985
9281611	92816111	8	~1987
9281843	18563687	8	~1985

Exp.	Prime Factor	Digits	Year
9281873	55691239	8	~1987
9281879	18563759	8	~1985
9281963	18563927	8	~1985
9281977	55691863	8	~1987
9281977	148511633	9
9282083	18564167	8	~1985
9282191	18564383	8	~1985
9282419	18564839	8	~1985
9282491	18564983	8	~1985
9282743	18565487	8	~1985
9282943	835464871	9	~1989
9283031	18566063	8	~1985
9283181	55699087	8	~1987
9283247	74265977	8	~1987
9283541	74268329	8	~1987
9283727	74269817	8	~1987
9283733	55702399	8	~1987
9283831	92838311	8	~1987
9284039	687018887	9	~1989
9284279	297096929	9	~1988
9284399	18568799	8	~1985
9284501	55707007	8	~1987
9284789	74278313	8	~1987
9284923	148558769	9	~1988
9284963	18569927	8	~1985

5.366.787 digits

26-02-08