Small Mersenne Prime Factors (page 948/5160)

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
8738759	17477519	8	~1985
8738783	17477567	8	~1985
8738843	367031407	9	~1988
8738957	52433743	8	~1986
8738963	17477927	8	~1985
8739001	52434007	8	~1986
8739023	17478047	8	~1985
8739119	17478239	8	~1985
8739299	17478599	8	~1985
8739431	17478863	8	~1985
8739803	17479607	8	~1985
8739877	139838033	9	~1987
8739953	52439719	8	~1986
8740037	69920297	8	~1987
8740163	17480327	8	~1985
8740541	52443247	8	~1986
8740681	52444087	8	~1986
8740727	1258664689	10	~1990
8740859	17481719	8	~1985
8740871	17481743	8	~1985
8740993	52445959	8	~1986
8741303	17482607	8	~1985
8741699	17483399	8	~1985
8741801	52450807	8	~1986
8741861	52451167	8	~1986

Exp.	Prime Factor	Digits	Year
8742551	17485103	8	~1985
8742577	52455463	8	~1986
8742787	87427871	8	~1987
8743019	17486039	8	~1985
8743037	52458223	8	~1986
8743037	69944297	8
8743043	17486087	8	~1985
8743213	52459279	8	~1986
8743547	157383847	9	~1988
8743583	17487167	8	~1985
8743589	69948713	8	~1987
8743633	472156183	9	~1989
8743681	52462087	8	~1986
8743817	69950537	8	~1987
8743991	17487983	8	~1985
8744033	52464199	8	~1986
8744447	69955577	8	~1987
8744513	1049341561	10	~1990
8744707	87447071	8	~1987
8744831	17489663	8	~1985
8744903	17489807	8	~1985
8745557	69964457	8	~1987
8745827	157424887	9	~1988
8745929	69967433	8	~1987
8746037	52476223	8	~1986

Exp.	Prime Factor	Digits	Year
8746093	52476559	8	~1986
8746301	52477807	8	~1986
8746399	87463991	8	~1987
8746399	157435183	9
8746733	52480399	8	~1986
8746757	52480543	8	~1986
8746799	17493599	8	~1985
8747159	17494319	8	~1985
8747243	17494487	8	~1985
8747423	17494847	8	~1985
8748011	17496023	8	~1985
8748263	17496527	8	~1985
8748331	87483311	8	~1987
8748359	17496719	8	~1985
8748881	69991049	8	~1987
8749141	52494847	8	~1986
8749243	16378582897	11	~1992
8749457	69995657	8	~1987
8749457	122492399	9
8749589	69996713	8	~1987
8749991	17499983	8	~1985
8750551	1400088161	10	~1990
8750771	17501543	8	~1985
8750831	17501663	8	~1985
8750857	52505143	8	~1986

Exp.	Prime Factor	Digits	Year
8750891	70007129	8	~1987
8750941	52505647	8	~1986
8750957	52505743	8	~1986
8751097	52506583	8	~1986
8751251	70010009	8	~1987
8751341	70010729	8	~1987
8751557	70012457	8	~1987
8752031	17504063	8	~1985
8752273	52513639	8	~1986
8752361	52514167	8	~1986
8752561	52515367	8	~1986
8752619	17505239	8	~1985
8752741	52516447	8	~1986
8752871	17505743	8	~1985
8753023	87530231	8	~1987
8753531	157563559	9	~1988
8753603	17507207	8	~1985
8753999	17507999	8	~1985
8754131	17508263	8	~1985
8754587	227619263	9	~1988
8754883	87548831	8	~1987
8755031	17510063	8	~1985
8755381	52532287	8	~1986
8755991	17511983	8	~1985
8756063	17512127	8	~1985

4.858.378 digits

25-06-15