Small Mersenne Prime Factors (page 920/5790)

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
7749803	15499607	8	~1985
7749803	929976361	9
7749887	61999097	8	~1986
7750097	62000777	8	~1986
7750121	232503631	9	~1988
7750201	46501207	8	~1986
7750559	15501119	8	~1985
7750711	325529863	9	~1988
7750913	46505479	8	~1986
7751101	232533031	9	~1988
7751123	15502247	8	~1985
7751279	62010233	8	~1986
7751551	325565143	9	~1988
7751591	62012729	8	~1986
7751963	15503927	8	~1985
7752131	15504263	8	~1985
7752161	46512967	8	~1986
7752293	46513759	8	~1986
7752373	46514239	8	~1986
7752517	46515103	8	~1986
7752539	15505079	8	~1985
7752683	15505367	8	~1985
7753177	46519063	8	~1986
7753673	46522039	8	~1986
7753799	15507599	8	~1985

Exp.	Prime Factor	Digits	Year
7754113	46524679	8	~1986
7754347	77543471	8	~1987
7754639	15509279	8	~1985
7754651	15509303	8	~1985
7754723	15509447	8	~1985
7754741	62037929	8	~1986
7754951	15509903	8	~1985
7754963	15509927	8	~1985
7755263	15510527	8	~1985
7755653	46533919	8	~1986
7755793	46534759	8	~1986
7755851	15511703	8	~1985
7755889	186141337	9	~1987
7755959	15511919	8	~1985
7756157	62049257	8	~1986
7756321	46537927	8	~1986
7756633	46539799	8	~1986
7756633	170645927	9
7756781	62054249	8	~1986
7756951	77569511	8	~1987
7756961	62055689	8	~1986
7757041	46542247	8	~1986
7757443	325812607	9	~1988
7757551	558543673	9	~1989
7757699	15515399	8	~1985

Exp.	Prime Factor	Digits	Year
7758083	15516167	8	~1985
7758329	62066633	8	~1986
7758743	15517487	8	~1985
7758769	170692919	9	~1987
7758899	62071193	8	~1986
7758911	15517823	8	~1985
7759099	186218377	9	~1987
7759151	15518303	8	~1985
7759513	46557079	8	~1986
7759777	46558663	8	~1986
7759877	46559263	8	~1986
7760017	46560103	8	~1986
7760171	15520343	8	~1985
7760321	46561927	8	~1986
7760471	15520943	8	~1985
7760567	388028351	9	~1988
7760717	46564303	8	~1986
7760807	62086457	8	~1986
7760897	62087177	8	~1986
7761107	62088857	8	~1986
7761133	46566799	8	~1986
7761451	124183217	9	~1987
7761493	46568959	8	~1986
7761599	15523199	8	~1985
7761839	15523679	8	~1985

Exp.	Prime Factor	Digits	Year
7761953	46571719	8	~1986
7762331	62098649	8	~1986
7762373	46574239	8	~1986
7762451	15524903	8	~1985
7763183	15526367	8	~1985
7763429	62107433	8	~1986
7763773	46582639	8	~1986
7763939	15527879	8	~1985
7764059	15528119	8	~1985
7764059	62112473	8
7764181	46585087	8	~1986
7764329	108700607	9	~1987
7764371	15528743	8	~1985
7764479	15528959	8	~1985
7764677	46588063	8	~1986
7764803	15529607	8	~1985
7764851	201886127	9	~1988
7764881	62119049	8	~1986
7765193	46591159	8	~1986
7765211	15530423	8	~1985
7765259	15530519	8	~1985
7765343	15530687	8	~1985
7765493	419336623	9	~1988
7765553	46593319	8	~1986
7766009	248512289	9	~1988

5.486.313 digits

26-04-05