Small Mersenne Prime Factors (page 970/5025)

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
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
9278459	18556919	8	~1985
9278513	55671079	8	~1987
9278891	18557783	8	~1985
9279191	74233529	8	~1987
9279659	18559319	8	~1985
9279737	445427377	9	~1989
9279863	18559727	8	~1985
9279953	55679719	8	~1987
9279983	18559967	8	~1985

Exp.	Prime Factor	Digits	Year
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
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

Exp.	Prime Factor	Digits	Year
9283541	74268329	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
9285239	18570479	8	~1985
9285299	167135383	9	~1988
9285457	55712743	8	~1987
9285821	55714927	8	~1987
9285911	18571823	8	~1985
9285919	92859191	8	~1987
9286379	18572759	8	~1985
9286439	167155903	9	~1988
9286477	55718863	8	~1987
9286523	18573047	8	~1985
9286631	18573263	8	~1985
9287053	55722319	8	~1987
9287081	55722487	8	~1987
9287123	18574247	8	~1985
9287231	18574463	8	~1985

Exp.	Prime Factor	Digits	Year
9287483	18574967	8	~1985
9287651	18575303	8	~1985
9288271	92882711	8	~1987
9288361	55730167	8	~1987
9288413	278652391	9	~1988
9288557	352965167	9	~1989
9288599	18577199	8	~1985
9288659	18577319	8	~1985
9288857	55733143	8	~1987
9288971	18577943	8	~1985
9289211	18578423	8	~1985
9289417	55736503	8	~1987
9289433	55736599	8	~1987
9289523	18579047	8	~1985
9289523	222948553	9
9289817	74318537	8	~1987
9289979	18579959	8	~1985
9289991	18579983	8	~1985
9290003	18580007	8	~1985
9290399	18580799	8	~1985
9291083	18582167	8	~1985
9291251	18582503	8	~1985
9291481	55748887	8	~1987
9291539	18583079	8	~1985
9291613	55749679	8	~1987

4.724.182 digits

25-04-13