Small Mersenne Prime Factors (page 685/5190)

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
5000111	10000223	8	~1983
5000161	30000967	8	~1984
5000311	50003111	8	~1985
5000399	10000799	8	~1983
5000423	120010153	9	~1986
5000701	30004207	8	~1984
5000759	40006073	8	~1985
5000783	10001567	8	~1983
5000861	30005167	8	~1984
5000903	10001807	8	~1983
5000977	30005863	8	~1984
5001167	40009337	8	~1985
5001197	40009577	8	~1985
5001203	10002407	8	~1983
5001299	10002599	8	~1983
5001413	30008479	8	~1984
5001443	10002887	8	~1983
5001593	280089209	9	~1987
5001779	10003559	8	~1983
5002103	10004207	8	~1983
5002223	10004447	8	~1983
5002273	30013639	8	~1984
5002331	10004663	8	~1983
5002463	120059113	9	~1986
5002553	120061273	9	~1986

Exp.	Prime Factor	Digits	Year
5002579	50025791	8	~1985
5002583	10005167	8	~1983
5003191	50031911	8	~1985
5003227	50032271	8	~1985
5003231	10006463	8	~1983
5003309	1000661801	10	~1988
5003543	10007087	8	~1983
5003549	70049687	8	~1985
5003591	10007183	8	~1983
5003711	10007423	8	~1983
5003893	80062289	8	~1986
5003923	120094153	9	~1986
5004367	50043671	8	~1985
5004491	10008983	8	~1983
5004539	10009079	8	~1983
5004821	40038569	8	~1985
5004841	30029047	8	~1984
5004859	50048591	8	~1985
5004929	70069007	8	~1985
5004941	30029647	8	~1984
5005223	10010447	8	~1983
5005289	40042313	8	~1985
5005621	1231382767	10	~1988
5005669	150170071	9	~1986
5005909	270319087	9	~1987

Exp.	Prime Factor	Digits	Year
5005921	80094737	8	~1986
5006081	40048649	8	~1985
5006237	40049897	8	~1985
5006399	10012799	8	~1983
5006503	80104049	8	~1986
5006509	560729009	9	~1988
5006537	30039223	8	~1984
5006623	80105969	8	~1986
5006657	30039943	8	~1984
5006657	40053257	8
5006773	30040639	8	~1984
5006923	50069231	8	~1985
5007181	30043087	8	~1984
5007539	10015079	8	~1983
5007593	510774487	9	~1987
5007719	40061753	8	~1985
5007841	30047047	8	~1984
5008187	90147367	8	~1986
5008739	10017479	8	~1983
5008841	40070729	8	~1985
5009099	10018199	8	~1983
5009099	40072793	8
5009117	40072937	8	~1985
5009617	150288511	9	~1986
5009621	40076969	8	~1985

Exp.	Prime Factor	Digits	Year
5009783	10019567	8	~1983
5009881	30059287	8	~1984
5009909	150297271	9	~1986
5009957	40079657	8	~1985
5010497	70146959	8	~1985
5010539	10021079	8	~1983
5010787	200431481	9	~1986
5011001	30066007	8	~1984
5011043	10022087	8	~1983
5011151	10022303	8	~1983
5011199	10022399	8	~1983
5011271	10022543	8	~1983
5011529	40092233	8	~1985
5011537	30069223	8	~1984
5011561	30069367	8	~1984
5011879	50118791	8	~1985
5011927	50119271	8	~1985
5012053	30072319	8	~1984
5012177	40097417	8	~1985
5012377	30074263	8	~1984
5012377	240594097	9
5012383	601485961	9	~1988
5012417	30074503	8	~1984
5012507	40100057	8	~1985
5012521	30075127	8	~1984

4.888.230 digits

25-06-29