Small Mersenne Prime Factors (page 700/5460)

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
5046653	30279919	8	~1985
5046659	10093319	8	~1983
5046703	50467031	8	~1985
5046737	40373897	8	~1985
5046787	50467871	8	~1985
5046851	10093703	8	~1983
5046859	50468591	8	~1985
5047379	10094759	8	~1983
5047403	10094807	8	~1983
5047517	403801361	9	~1987
5047573	30285439	8	~1985
5047643	10095287	8	~1983
5047663	50476631	8	~1985
5047697	40381577	8	~1985
5048003	10096007	8	~1983
5048353	201934121	9	~1987
5048399	212032759	9	~1987
5048401	80774417	8	~1986
5048413	30290479	8	~1985
5048441	30290647	8	~1985
5048591	10097183	8	~1983
5048663	10097327	8	~1983
5048713	30292279	8	~1985
5048777	191853527	9	~1986
5048903	10097807	8	~1983

Exp.	Prime Factor	Digits	Year
5048977	30293863	8	~1985
5048999	10097999	8	~1983
5048999	40391993	8
5049503	10099007	8	~1983
5049503	161584097	9
5049623	10099247	8	~1983
5049827	373687199	9	~1987
5049907	80798513	8	~1986
5049911	10099823	8	~1983
5049959	10099919	8	~1983
5049977	40399817	8	~1985
5050217	30301303	8	~1985
5050273	30301639	8	~1985
5050477	30302863	8	~1985
5050511	10101023	8	~1983
5050583	10101167	8	~1983
5050601	30303607	8	~1985
5050657	30303943	8	~1985
5050763	10101527	8	~1983
5051141	40409129	8	~1985
5051219	10102439	8	~1983
5051723	10103447	8	~1983
5051747	90931447	8	~1986
5051803	50518031	8	~1985
5051807	242486737	9	~1987

Exp.	Prime Factor	Digits	Year
5052241	30313447	8	~1985
5052623	10105247	8	~1983
5052653	30315919	8	~1985
5052713	70737983	8	~1985
5052833	151584991	9	~1986
5052863	10105727	8	~1983
5053271	10106543	8	~1983
5053313	70746383	8	~1985
5053493	30320959	8	~1985
5053889	40431113	8	~1985
5054053	30324319	8	~1985
5054267	131410943	9	~1986
5054351	40434809	8	~1985
5054417	40435337	8	~1985
5054431	293156999	9	~1987
5054531	10109063	8	~1983
5054639	10109279	8	~1983
5054677	30328063	8	~1985
5054713	30328279	8	~1985
5054989	323519297	9	~1987
5055023	10110047	8	~1983
5055053	30330319	8	~1985
5055059	10110119	8	~1983
5055107	40440857	8	~1985
5055191	10110383	8	~1983

Exp.	Prime Factor	Digits	Year
5055359	40442873	8	~1985
5055551	10111103	8	~1983
5055623	10111247	8	~1983
5055667	121336009	9	~1986
5055923	10111847	8	~1983
5056217	40449737	8	~1985
5056397	3468688343	10	~1990
5056567	80905073	8	~1986
5056577	40452617	8	~1985
5056577	70792079	8
5056697	40453577	8	~1985
5056739	10113479	8	~1983
5056823	10113647	8	~1983
5056979	10113959	8	~1983
5057099	10114199	8	~1983
5057471	10114943	8	~1983
5057639	10115279	8	~1983
5057797	30346783	8	~1985
5057851	50578511	8	~1985
5057963	10115927	8	~1983
5058023	10116047	8	~1983
5058083	10116167	8	~1983
5058329	40466633	8	~1985
5058491	10116983	8	~1983
5058511	91053199	8	~1986

5.157.210 digits

25-11-02