Small Mersenne Prime Factors (page 965/5130)

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
9061319	18122639	8	~1985
9061363	90613631	8	~1987
9061441	54368647	8	~1986
9061523	18123047	8	~1985
9061571	18123143	8	~1985
9062159	18124319	8	~1985
9062231	72497849	8	~1987
9062279	18124559	8	~1985
9062303	18124607	8	~1985
9062789	217506937	9	~1988
9062843	18125687	8	~1985
9063161	54378967	8	~1986
9063233	54379399	8	~1986
9063487	362539481	9	~1988
9063599	18127199	8	~1985
9063623	18127247	8	~1985
9063697	54382183	8	~1986
9064031	18128063	8	~1985
9064193	652621897	9	~1989
9064343	18128687	8	~1985
9064439	18128879	8	~1985
9064571	18129143	8	~1985
9064597	54387583	8	~1986
9064871	72518969	8	~1987
9064877	54389263	8	~1986

Exp.	Prime Factor	Digits	Year
9065207	217564969	9	~1988
9065297	54391783	8	~1986
9065363	18130727	8	~1985
9065417	217570009	9	~1988
9065449	489534247	9	~1989
9065891	18131783	8	~1985
9065939	18131879	8	~1985
9066143	18132287	8	~1985
9066193	54397159	8	~1986
9066503	18133007	8	~1985
9066983	18133967	8	~1985
9067141	54402847	8	~1986
9067361	54404167	8	~1986
9067393	54404359	8	~1986
9067777	54406663	8	~1986
9067829	72542633	8	~1987
9068159	18136319	8	~1985
9068711	18137423	8	~1985
9068981	4915387703	10	~1991
9069113	126967583	9	~1987
9069299	18138599	8	~1985
9069311	18138623	8	~1985
9069353	54416119	8	~1986
9069677	1360451551	10	~1990
9069961	54419767	8	~1986

Exp.	Prime Factor	Digits	Year
9069971	18139943	8	~1985
9070339	380954239	9	~1989
9070559	18141119	8	~1985
9070913	54425479	8	~1986
9070913	126992783	9
9070933	54425599	8	~1986
9071099	18142199	8	~1985
9071351	18142703	8	~1985
9071459	18142919	8	~1985
9072653	54435919	8	~1986
9073199	18146399	8	~1985
9073853	54443119	8	~1986
9073919	18147839	8	~1985
9074003	18148007	8	~1985
9074363	18148727	8	~1985
9074519	18149039	8	~1985
9074603	18149207	8	~1985
9074771	18149543	8	~1985
9074789	127047047	9	~1987
9074789	7695421073	10
9075191	18150383	8	~1985
9075461	54452767	8	~1986
9075551	72604409	8	~1987
9075571	90755711	8	~1987
9075761	54454567	8	~1986

Exp.	Prime Factor	Digits	Year
9075809	127061327	9	~1987
9075851	18151703	8	~1985
9075973	54455839	8	~1986
9075991	145215857	9	~1988
9076337	72610697	8	~1987
9076643	18153287	8	~1985
9076801	54460807	8	~1986
9076967	72615737	8	~1987
9077219	18154439	8	~1985
9077423	18154847	8	~1985
9077501	54465007	8	~1986
9077531	18155063	8	~1985
9077759	18155519	8	~1985
9077891	18155783	8	~1985
9077963	18155927	8	~1985
9078233	54469399	8	~1986
9078539	18157079	8	~1985
9078539	72628313	8
9078683	18157367	8	~1985
9078761	54472567	8	~1986
9078781	54472687	8	~1986
9078851	18157703	8	~1985
9079223	18158447	8	~1985
9079571	18159143	8	~1985
9079627	435822097	9	~1989

4.828.532 digits

25-06-01