Small Mersenne Prime Factors (page 932/5790)

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
7925711	63405689	8	~1986
7925741	47554447	8	~1986
7925759	15851519	8	~1985
7925761	47554567	8	~1986
7925843	15851687	8	~1985
7925849	63406793	8	~1986
7925891	15851783	8	~1985
7926311	15852623	8	~1985
7926419	380468113	9	~1988
7926497	47558983	8	~1986
7926509	253648289	9	~1988
7926517	47559103	8	~1986
7926713	110973983	9	~1987
7927013	47562079	8	~1986
7927057	951246841	9	~1989
7927259	15854519	8	~1985
7927511	15855023	8	~1985
7927891	79278911	8	~1987
7927919	15855839	8	~1985
7927943	15855887	8	~1985
7928183	15856367	8	~1985
7928423	15856847	8	~1985
7928831	15857663	8	~1985
7928849	111003887	9	~1987
7928857	47573143	8	~1986

Exp.	Prime Factor	Digits	Year
7929007	713610631	9	~1989
7929017	47574103	8	~1986
7929017	111006239	9
7929307	190303369	9	~1988
7929343	1141825393	10	~1989
7929371	15858743	8	~1985
7929547	79295471	8	~1987
7929563	15859127	8	~1985
7929617	634369361	9	~1989
7929683	15859367	8	~1985
7929899	15859799	8	~1985
7930037	47580223	8	~1986
7930229	1776371297	10	~1990
7930271	142744879	9	~1987
7930463	15860927	8	~1985
7930757	47584543	8	~1986
7930859	15861719	8	~1985
7930943	15861887	8	~1985
7931117	47586703	8	~1986
7931249	63449993	8	~1986
7931353	47588119	8	~1986
7931411	15862823	8	~1985
7931459	15862919	8	~1985
7931519	15863039	8	~1985
7931597	47589583	8	~1986

Exp.	Prime Factor	Digits	Year
7931771	15863543	8	~1985
7931831	15863663	8	~1985
7932053	47592319	8	~1986
7932517	47595103	8	~1986
7932553	47595319	8	~1986
7932809	63462473	8	~1986
7932839	15865679	8	~1985
7932893	111060503	9	~1987
7933109	63464873	8	~1986
7933231	79332311	8	~1987
7933319	15866639	8	~1985
7933379	15866759	8	~1985
7933481	301472279	9	~1988
7933511	15867023	8	~1985
7933813	47602879	8	~1986
7934099	15868199	8	~1985
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

Exp.	Prime Factor	Digits	Year
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
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

5.486.313 digits

26-04-05