Small Mersenne Prime Factors (page 367/5790)

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
1782769	96269527	8
1782797	10696783	8	~1981
1782829	42787897	8	~1982
1782917	10697503	8	~1981
1782961	10697767	8	~1981
1783043	42793033	8	~1982
1783163	3566327	7	~1980
1783423	17834231	8	~1982
1783427	14267417	8	~1981
1783469	14267753	8	~1981
1783643	57076577	8	~1983
1783781	10702687	8	~1981
1783813	39243887	8	~1982
1783921	10703527	8	~1981
1784203	17842031	8	~1982
1784231	3568463	7	~1980
1784281	10705687	8	~1981
1784389	71375561	8	~1983
1784557	10707343	8	~1981
1784633	10707799	8	~1981
1784641	28554257	8	~1982
1784647	17846471	8	~1982
1784833	71393321	8	~1983
1784963	3569927	7	~1980
1785257	24993599	8	~1982

Exp.	Prime Factor	Digits	Year
1785347	89267351	8	~1983
1785401	85699249	8	~1983
1785419	3570839	7	~1980
1785473	24996623	8	~1982
1785491	32138839	8	~1982
1785599	3571199	7	~1980
1785613	114279233	9	~1984
1785683	589275391	9	~1985
1785713	10714279	8	~1981
1785779	3571559	7	~1980
1785779	57144929	8
1785811	28572977	8	~1982
1785961	10715767	8	~1981
1785961	28575377	8
1785977	25003679	8	~1982
1786201	39296423	8	~1982
1786223	3572447	7	~1980
1786277	67878527	8	~1983
1786331	3572663	7	~1980
1786363	17863631	8	~1982
1786439	3572879	7	~1980
1786439	42874537	8
1786451	3572903	7	~1980
1786591	28585457	8	~1982
1786591	32158639	8

Exp.	Prime Factor	Digits	Year
1786753	10720519	8	~1981
1786787	100060073	9	~1983
1786843	60752663	8	~1983
1786943	3573887	7	~1980
1787033	25018463	8	~1982
1787039	3574079	7	~1980
1787129	14297033	8	~1981
1787129	57188129	8
1787143	17871431	8	~1982
1787179	71487161	8	~1983
1787293	10723759	8	~1981
1787437	42898489	8	~1982
1787573	10725439	8	~1981
1787587	32176567	8	~1982
1787707	17877071	8	~1982
1788187	28610993	8	~1982
1788239	3576479	7	~1980
1788253	39341567	8	~1982
1788271	32188879	8	~1982
1788313	10729879	8	~1981
1788341	14306729	8	~1981
1788623	3577247	7	~1980
1788649	53659471	8	~1983
1788727	60816719	8	~1983
1788863	3577727	7	~1980

Exp.	Prime Factor	Digits	Year
1788949	42934777	8	~1982
1789169	14313353	8	~1981
1789169	53675071	8
1789181	14313449	8	~1981
1789247	42941929	8	~1982
1789343	46522919	8	~1983
1789391	57260513	8	~1983
1789399	71575961	8	~1983
1789451	3578903	7	~1980
1789493	25052903	8	~1982
1789559	3579119	7	~1980
1789693	39373247	8	~1982
1789769	96647527	8	~1983
1789783	71591321	8	~1983
1789973	96658543	8	~1983
1789979	3579959	7	~1980
1790051	3580103	7	~1980
1790071	32221279	8	~1982
1790077	10740463	8	~1981
1790231	3580463	7	~1980
1790233	28643729	8	~1982
1790291	3580583	7	~1980
1790323	17903231	8	~1982
1790339	3580679	7	~1980
1790419	17904191	8	~1982

5.486.313 digits

26-04-05