Small Mersenne Prime Factors (page 433/5025)

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
2426911	38830577	8	~1983
2427059	19416473	8	~1982
2427157	14562943	8	~1982
2427239	19417913	8	~1982
2427493	14564959	8	~1982
2427527	19420217	8	~1982
2427637	14565823	8	~1982
2427751	38844017	8	~1983
2427779	4855559	7	~1981
2428033	14568199	8	~1982
2428043	509889031	9	~1986
2428103	4856207	7	~1981
2428123	97124921	8	~1984
2428169	77701409	8	~1984
2428213	14569279	8	~1982
2428241	524500057	9	~1986
2428259	296247599	9	~1985
2428417	14570503	8	~1982
2428451	4856903	7	~1981
2428457	135993593	9	~1984
2428667	19429337	8	~1982
2428711	102005863	9	~1984
2428859	4857719	7	~1981
2428891	24288911	8	~1983
2428919	43720543	8	~1983

Exp.	Prime Factor	Digits	Year
2428931	19431449	8	~1982
2428999	82585967	8	~1984
2429071	24290711	8	~1983
2429117	19432937	8	~1982
2429257	14575543	8	~1982
2429279	4858559	7	~1981
2429333	14575999	8	~1982
2429341	14576047	8	~1982
2429411	4858823	7	~1981
2429411	121470551	9
2429681	19437449	8	~1982
2429893	14579359	8	~1982
2430223	102069367	9	~1984
2430557	19444457	8	~1982
2430581	14583487	8	~1982
2430611	43750999	8	~1983
2430817	38893073	8	~1983
2430839	4861679	7	~1981
2430947	19447577	8	~1982
2431061	14586367	8	~1982
2431139	4862279	7	~1981
2431151	4862303	7	~1981
2431217	14587303	8	~1982
2431393	14588359	8	~1982
2431439	43765903	8	~1983

Exp.	Prime Factor	Digits	Year
2431489	53492759	8	~1983
2431501	14589007	8	~1982
2431673	14590039	8	~1982
2431691	19453529	8	~1982
2431717	111858983	9	~1984
2431811	4863623	7	~1981
2431987	218878831	9	~1985
2432041	53504903	8	~1983
2432069	19456553	8	~1982
2432159	4864319	7	~1981
2432387	116754577	9	~1984
2432543	4865087	7	~1981
2432587	7613997311	10	~1989
2432657	14595943	8	~1982
2432791	24327911	8	~1983
2432999	4865999	7	~1981
2433089	34063247	8	~1983
2433251	4866503	7	~1981
2433251	19466009	8
2433253	272524337	9	~1985
2433293	14599759	8	~1982
2433467	58403209	8	~1983
2433493	14600959	8	~1982
2433659	4867319	7	~1981
2433659	19469273	8

Exp.	Prime Factor	Digits	Year
2433803	4867607	7	~1981
2433803	58411273	8
2433901	306671527	9	~1985
2434001	267740111	9	~1985
2434031	63284807	8	~1984
2434037	92493407	8	~1984
2434123	97364921	8	~1984
2434277	14605663	8	~1982
2434501	14607007	8	~1982
2434583	4869167	7	~1981
2434589	194767121	9	~1985
2434681	38954897	8	~1983
2434721	14608327	8	~1982
2434739	4869479	7	~1981
2434841	19478729	8	~1982
2434931	4869863	7	~1981
2434963	82788743	8	~1984
2435051	102272143	9	~1984
2435183	4870367	7	~1981
2435281	53576183	8	~1983
2435291	4870583	7	~1981
2435291	175340953	9
2435527	58452649	8	~1983
2435527	160744783	9
2435633	14613799	8	~1982

4.724.182 digits

25-04-13