Small Mersenne Prime Factors (page 900/5205)

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
7934807	825219929	9	~1989
7934831	15869663	8	~1985
7934957	47609743	8	~1986
7935071	15870143	8	~1985
7935143	15870287	8	~1985
7935197	47611183	8	~1986
7935439	190450537	9	~1988
7935491	15870983	8	~1985
7935833	47614999	8	~1986
7935971	15871943	8	~1985
7935971	63487769	8
7936079	15872159	8	~1985
7936163	15872327	8	~1985
7936223	15872447	8	~1985
7936673	47620039	8	~1986
7936751	15873503	8	~1985
7936823	15873647	8	~1985
7937123	15874247	8	~1985
7937141	47622847	8	~1986
7937177	63497417	8	~1986
7937533	47625199	8	~1986
7937621	47625727	8	~1986
7937753	47626519	8	~1986
7937771	63502169	8	~1986
7937939	15875879	8	~1985

Exp.	Prime Factor	Digits	Year
7937981	63503849	8	~1986
7937983	127007729	9	~1987
7938211	317528441	9	~1988
7938503	333417127	9	~1988
7938641	301668359	9	~1988
7938803	15877607	8	~1985
7939091	15878183	8	~1985
7939103	15878207	8	~1985
7939259	15878519	8	~1985
7939313	47635879	8	~1986
7939523	15879047	8	~1985
7939619	15879239	8	~1985
7939643	15879287	8	~1985
7939787	63518297	8	~1986
7939817	63518537	8	~1986
7939861	47639167	8	~1986
7939949	2524903783	10	~1990
7940063	15880127	8	~1985
7940087	63520697	8	~1986
7940159	63521273	8	~1986
7940333	47641999	8	~1986
7940357	63522857	8	~1986
7940483	15880967	8	~1985
7941299	15882599	8	~1985
7941383	15882767	8	~1985

Exp.	Prime Factor	Digits	Year
7941671	142950079	9	~1987
7941761	254136353	9	~1988
7941767	190602409	9	~1988
7941851	2922601169	10	~1990
7941937	47651623	8	~1986
7941959	63535673	8	~1986
7942031	142956559	9	~1987
7942163	15884327	8	~1985
7942211	15884423	8	~1985
7942223	15884447	8	~1985
7942387	79423871	8	~1987
7942477	47654863	8	~1986
7942481	63539849	8	~1986
7942523	15885047	8	~1985
7942559	63540473	8	~1986
7942919	190630057	9	~1988
7942967	63543737	8	~1986
7943081	47658487	8	~1986
7943263	270070943	9	~1988
7943357	47660143	8	~1986
7943513	47661079	8	~1986
7943557	47661343	8	~1986
7943597	63548777	8	~1986
7943753	47662519	8	~1986
7943759	15887519	8	~1985

Exp.	Prime Factor	Digits	Year
7944061	47664367	8	~1986
7944221	47665327	8	~1986
7944227	63553817	8	~1986
7944241	47665447	8	~1986
7944259	142996663	9	~1987
7944791	15889583	8	~1985
7945031	63560249	8	~1986
7945037	381361777	9	~1988
7945079	15890159	8	~1985
7945139	143012503	9	~1987
7945313	47671879	8	~1986
7945909	572105449	9	~1989
7945979	15891959	8	~1985
7946417	47678503	8	~1986
7946483	15892967	8	~1985
7946557	47679343	8	~1986
7946843	15893687	8	~1985
7947011	15894023	8	~1985
7947013	47682079	8	~1986
7947059	15894119	8	~1985
7947061	47682367	8	~1986
7947221	47683327	8	~1986
7947521	63580169	8	~1986
7947601	47685607	8	~1986
7947601	238428031	9

4.903.097 digits

25-07-08