Small Mersenne Prime Factors (page 375/5445)

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
1881419	3762839	7	~1980
1881521	11289127	8	~1981
1881533	11289199	8	~1981
1881821	15054569	8	~1981
1881853	41400767	8	~1983
1881907	33874327	8	~1982
1882063	30113009	8	~1982
1882081	30113297	8	~1982
1882141	11292847	8	~1981
1882141	30114257	8
1882171	18821711	8	~1982
1882253	11293519	8	~1981
1882271	3764543	7	~1980
1882313	11293879	8	~1981
1882403	3764807	7	~1980
1882459	18824591	8	~1982
1882471	33884479	8	~1982
1882541	15060329	8	~1981
1882561	56476831	8	~1983
1882607	33886927	8	~1982
1882703	60246497	8	~1983
1882921	11297527	8	~1981
1883047	30128753	8	~1982
1883113	41428487	8	~1983
1883153	11298919	8	~1981

Exp.	Prime Factor	Digits	Year
1883201	71561639	8	~1983
1883207	33897727	8	~1982
1883237	467042777	9	~1985
1883279	3766559	7	~1980
1883351	3766703	7	~1980
1883383	18833831	8	~1982
1883393	26367503	8	~1982
1883471	3766943	7	~1980
1883773	11302639	8	~1981
1883857	75354281	8	~1983
1883881	11303287	8	~1981
1883939	15071513	8	~1981
1884011	15072089	8	~1981
1884013	11304079	8	~1981
1884209	26378927	8	~1982
1884209	135663049	9
1884247	214804159	9	~1984
1884343	214815103	9	~1984
1884359	3768719	7	~1980
1884437	11306623	8	~1981
1884563	48998639	8	~1983
1884679	64079087	8	~1983
1884713	11308279	8	~1981
1884791	3769583	7	~1980
1884803	3769607	7	~1980

Exp.	Prime Factor	Digits	Year
1884853	11309119	8	~1981
1884853	41466767	8
1885153	11310919	8	~1981
1885253	11311519	8	~1981
1885259	15082073	8	~1981
1885321	56559631	8	~1983
1885349	26394887	8	~1982
1885349	60331169	8
1885363	18853631	8	~1982
1885391	15083129	8	~1981
1885439	15083513	8	~1981
1885501	56565031	8	~1983
1885607	15084857	8	~1981
1885613	26398583	8	~1982
1885703	3771407	7	~1980
1885801	41487623	8	~1983
1885811	3771623	7	~1980
1885907	15087257	8	~1981
1885943	60350177	8	~1983
1886051	3772103	7	~1980
1886051	513005873	9
1886107	18861071	8	~1982
1886113	45266713	8	~1983
1886173	554534863	9	~1985
1886347	30181553	8	~1982

Exp.	Prime Factor	Digits	Year
1886413	30182609	8	~1982
1886459	3772919	7	~1980
1886543	3773087	7	~1980
1886557	56596711	8	~1983
1886561	9745974127	10	~1988
1886623	79238167	8	~1983
1886663	3773327	7	~1980
1886723	3773447	7	~1980
1886723	60375137	8
1886743	30187889	8	~1982
1886777	11320663	8	~1981
1886999	3773999	7	~1980
1886999	60383969	8
1887071	3774143	7	~1980
1887071	33967279	8
1887071	320802071	9
1887079	45289897	8	~1983
1887181	181169377	9	~1984
1887209	15097673	8	~1981
1887253	11323519	8	~1981
1887409	90595633	8	~1983
1887419	15099353	8	~1981
1887521	407704537	9	~1985
1887563	3775127	7	~1980
1887617	11325703	8	~1981

5.142.307 digits

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