Small Mersenne Prime Factors (page 863/5070)

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
7497023	14994047	8	~1985
7497107	59976857	8	~1986
7497439	74974391	8	~1986
7498019	14996039	8	~1985
7498031	374901551	9	~1988
7498033	44988199	8	~1986
7498301	44989807	8	~1986
7498313	104976383	9	~1987
7498429	179962297	9	~1987
7498583	14997167	8	~1985
7498643	14997287	8	~1985
7498703	14997407	8	~1985
7498871	14997743	8	~1985
7499161	44994967	8	~1986
7499207	134985727	9	~1987
7499231	14998463	8	~1985
7499257	44995543	8	~1986
7499537	179988889	9	~1987
7499543	14999087	8	~1985
7499651	59997209	8	~1986
7499741	59997929	8	~1986
7499819	14999639	8	~1985
7500203	15000407	8	~1985
7500797	60006377	8	~1986
7500803	15001607	8	~1985

Exp.	Prime Factor	Digits	Year
7500881	45005287	8	~1986
7500917	105012839	9	~1987
7501031	15002063	8	~1985
7501211	15002423	8	~1985
7501339	135024103	9	~1987
7501801	45010807	8	~1986
7501859	15003719	8	~1985
7501961	60015689	8	~1986
7501993	45011959	8	~1986
7502003	15004007	8	~1985
7502171	60017369	8	~1986
7502177	45013063	8	~1986
7502189	60017513	8	~1986
7502189	105030647	9
7502413	45014479	8	~1986
7502639	15005279	8	~1985
7502711	15005423	8	~1985
7502717	45016303	8	~1986
7502819	360135313	9	~1988
7502863	75028631	8	~1986
7503109	165068399	9	~1987
7503577	45021463	8	~1986
7503701	45022207	8	~1986
7503757	45022543	8	~1986
7503959	15007919	8	~1985

Exp.	Prime Factor	Digits	Year
7503971	15007943	8	~1985
7504099	900491881	9	~1989
7504163	15008327	8	~1985
7504339	75043391	8	~1986
7504481	45026887	8	~1986
7504643	15009287	8	~1985
7504751	15009503	8	~1985
7504781	60038249	8	~1986
7504979	15009959	8	~1985
7505051	15010103	8	~1985
7505077	45030463	8	~1986
7505243	1996394639	10	~1990
7505611	120089777	9	~1987
7505639	15011279	8	~1985
7505669	60045353	8	~1986
7505677	120090833	9	~1987
7506011	60048089	8	~1986
7506071	15012143	8	~1985
7506089	60048713	8	~1986
7506137	60049097	8	~1986
7506143	15012287	8	~1985
7506203	15012407	8	~1985
7506397	170905646897	12	~1995
7506419	15012839	8	~1985
7506581	45039487	8	~1986

Exp.	Prime Factor	Digits	Year
7506637	120106193	9	~1987
7506757	45040543	8	~1986
7506923	15013847	8	~1985
7507021	120112337	9	~1987
7507163	15014327	8	~1985
7507271	15014543	8	~1985
7507933	45047599	8	~1986
7508057	60064457	8	~1986
7508161	45048967	8	~1986
7508183	15016367	8	~1985
7508377	45050263	8	~1986
7508981	45053887	8	~1986
7508981	60071849	8
7509077	105127079	9	~1987
7509179	15018359	8	~1985
7509179	360440593	9
7509251	15018503	8	~1985
7509301	45055807	8	~1986
7509317	45055903	8	~1986
7509611	15019223	8	~1985
7509713	105135983	9	~1987
7509787	120156593	9	~1987
7509851	15019703	8	~1985
7510201	45061207	8	~1986
7510253	45061519	8	~1986

4.768.925 digits

25-05-04