Small Mersenne Prime Factors (page 870/5025)

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
7639271	61114169	8	~1986
7639721	61117769	8	~1986
7639739	15279479	8	~1985
7639759	76397591	8	~1986
7639799	15279599	8	~1985
7639883	15279767	8	~1985
7640141	61121129	8	~1986
7640183	15280367	8	~1985
7640351	15280703	8	~1985
7640357	61122857	8	~1986
7640377	45842263	8	~1986
7640707	137532727	9	~1987
7640707	259784039	9
7640723	15281447	8	~1985
7640821	45844927	8	~1986
7640933	106973063	9	~1987
7641071	61128569	8	~1986
7641131	15282263	8	~1985
7641197	45847183	8	~1986
7641241	45847447	8	~1986
7641353	45848119	8	~1986
7641377	61131017	8	~1986
7641479	15282959	8	~1985
7641611	61132889	8	~1986
7641671	15283343	8	~1985

Exp.	Prime Factor	Digits	Year
7641709	305668361	9	~1988
7641839	15283679	8	~1985
7642139	15284279	8	~1985
7642403	15284807	8	~1985
7642577	45855463	8	~1986
7642681	45856087	8	~1986
7642931	15285863	8	~1985
7642963	76429631	8	~1986
7643033	45858199	8	~1986
7643039	15286079	8	~1985
7643473	45860839	8	~1986
7643543	15287087	8	~1985
7643717	45862303	8	~1986
7643807	61150457	8	~1986
7643879	61151033	8	~1986
7644157	305766281	9	~1988
7644433	45866599	8	~1986
7644803	15289607	8	~1985
7644997	45869983	8	~1986
7645433	45872599	8	~1986
7645577	61164617	8	~1986
7645663	76456631	8	~1986
7645753	45874519	8	~1986
7646033	45876199	8	~1986
7646083	122337329	9	~1987

Exp.	Prime Factor	Digits	Year
7646129	229383871	9	~1988
7646231	15292463	8	~1985
7646263	259972943	9	~1988
7646279	15292559	8	~1985
7646293	45877759	8	~1986
7646501	45879007	8	~1986
7646519	15293039	8	~1985
7646843	15293687	8	~1985
7646861	45881167	8	~1986
7646993	45881959	8	~1986
7647071	15294143	8	~1985
7647347	183536329	9	~1987
7647377	107063279	9	~1987
7647587	61180697	8	~1986
7647839	61182713	8	~1986
7647881	45887287	8	~1986
7648019	61184153	8	~1986
7648031	15296063	8	~1985
7648057	45888343	8	~1986
7648163	734223649	9	~1989
7648327	76483271	8	~1986
7648391	15296783	8	~1985
7648439	61187513	8	~1986
7648499	61187993	8	~1986
7648703	15297407	8	~1985

Exp.	Prime Factor	Digits	Year
7648757	61190057	8	~1986
7648897	45893383	8	~1986
7649021	45894127	8	~1986
7649231	15298463	8	~1985
7649413	45896479	8	~1986
7649459	15298919	8	~1985
7649459	183587017	9
7649641	45897847	8	~1986
7649671	1912417751	10	~1990
7649801	45898807	8	~1986
7649953	45899719	8	~1986
7650077	61200617	8	~1986
7650121	45900727	8	~1986
7650257	45901543	8	~1986
7650347	61202777	8	~1986
7650389	61203113	8	~1986
7650719	15301439	8	~1985
7650941	61207529	8	~1986
7651097	45906583	8	~1986
7651121	61208969	8	~1986
7651151	15302303	8	~1985
7651211	244838753	9	~1988
7651643	15303287	8	~1985
7652017	45912103	8	~1986
7652119	76521191	8	~1986

4.724.182 digits

25-04-13