Small Mersenne Prime Factors (page 885/5025)

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
7866349	235990471	9	~1988
7866431	15732863	8	~1985
7866517	125864273	9	~1987
7866539	15733079	8	~1985
7866557	47199343	8	~1986
7866673	47200039	8	~1986
7866701	47200207	8	~1986
7866791	15733583	8	~1985
7866923	15733847	8	~1985
7867049	236011471	9	~1988
7867103	15734207	8	~1985
7867313	47203879	8	~1986
7867571	62940569	8	~1986
7868293	47209759	8	~1986
7868363	15736727	8	~1985
7868593	47211559	8	~1986
7868897	62951177	8	~1986
7868999	15737999	8	~1985
7869031	125904497	9	~1987
7869053	47214319	8	~1986
7869131	15738263	8	~1985
7869203	15738407	8	~1985
7869241	47215447	8	~1986
7869371	15738743	8	~1985
7869739	78697391	8	~1987

Exp.	Prime Factor	Digits	Year
7869881	47219287	8	~1986
7869899	15739799	8	~1985
7870091	15740183	8	~1985
7870391	15740783	8	~1985
7870547	204634223	9	~1988
7870561	236116831	9	~1988
7870679	15741359	8	~1985
7870697	47224183	8	~1986
7870721	47224327	8	~1986
7870721	62965769	8
7870739	62965913	8	~1986
7871081	62968649	8	~1986
7871183	15742367	8	~1985
7871219	251879009	9	~1988
7871293	47227759	8	~1986
7871473	125943569	9	~1987
7871483	15742967	8	~1985
7871519	62972153	8	~1986
7871579	15743159	8	~1985
7871597	47229583	8	~1986
7871599	141688783	9	~1987
7871621	62972969	8	~1986
7871711	15743423	8	~1985
7871761	47230567	8	~1986
7871933	47231599	8	~1986

Exp.	Prime Factor	Digits	Year
7872353	47234119	8	~1986
7872437	47234623	8	~1986
7872443	15744887	8	~1985
7872637	47235823	8	~1986
7872793	47236759	8	~1986
7872803	15745607	8	~1985
7873157	62985257	8	~1986
7873223	15746447	8	~1985
7873477	47240863	8	~1986
7873507	125976113	9	~1987
7873511	15747023	8	~1985
7873559	15747119	8	~1985
7873753	47242519	8	~1986
7874039	15748079	8	~1985
7874071	125985137	9	~1987
7874129	62993033	8	~1986
7874467	78744671	8	~1987
7874627	62997017	8	~1986
7875193	173254247	9	~1987
7875299	63002393	8	~1986
7875389	110255447	9	~1987
7875551	15751103	8	~1985
7875697	47254183	8	~1986
7876103	15752207	8	~1985
7876343	15752687	8	~1985

Exp.	Prime Factor	Digits	Year
7876433	47258599	8	~1986
7876471	78764711	8	~1987
7876753	47260519	8	~1986
7876937	47261623	8	~1986
7876997	47261983	8	~1986
7877099	15754199	8	~1985
7877291	141791239	9	~1987
7877669	63021353	8	~1986
7877711	15755423	8	~1985
7877777	47266663	8	~1986
7877819	15755639	8	~1985
7877843	15755687	8	~1985
7877939	15755879	8	~1985
7877981	47267887	8	~1986
7878023	15756047	8	~1985
7878043	189073033	9	~1987
7878163	78781631	8	~1987
7878197	63025577	8	~1986
7878239	15756479	8	~1985
7878313	47269879	8	~1986
7878313	1134477073	10
7878323	15756647	8	~1985
7878551	63028409	8	~1986
7878569	110299967	9	~1987
7878797	63030377	8	~1986

4.724.182 digits

25-04-13