Small Mersenne Prime Factors (page 1020/5745)

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
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
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

Exp.	Prime Factor	Digits	Year
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
9283667	222808009	9	~1988
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
9285239	18570479	8	~1985
9285299	167135383	9	~1988
9285457	55712743	8	~1987
9285821	55714927	8	~1987
9285911	18571823	8	~1985
9285919	92859191	8	~1987

Exp.	Prime Factor	Digits	Year
9286379	18572759	8	~1985
9286439	167155903	9	~1988
9286477	55718863	8	~1987
9286523	18573047	8	~1985
9286631	18573263	8	~1985
9286817	74294537	8	~1987
9287053	55722319	8	~1987
9287081	55722487	8	~1987
9287123	18574247	8	~1985
9287231	18574463	8	~1985
9287231	74297849	8
9287237	74297897	8	~1987
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

Exp.	Prime Factor	Digits	Year
9289523	18579047	8	~1985
9289523	222948553	9
9289807	148636913	9	~1988
9289817	74318537	8	~1987
9289979	18579959	8	~1985
9289991	18579983	8	~1985
9290003	18580007	8	~1985
9290129	74321033	8	~1987
9290399	18580799	8	~1985
9290591	74324729	8	~1987
9291013	204402287	9	~1988
9291083	18582167	8	~1985
9291251	18582503	8	~1985
9291481	55748887	8	~1987
9291539	18583079	8	~1985
9291613	55749679	8	~1987
9292037	55752223	8	~1987
9292091	18584183	8	~1985
9292541	55755247	8	~1987
9292553	55755319	8	~1987
9293171	18586343	8	~1985
9293243	18586487	8	~1985
9293483	223043593	9	~1988
9293519	18587039	8	~1985
9293579	18587159	8	~1985

5.441.361 digits

26-03-15