Small Mersenne Prime Factors (page 391/5340)

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
2017931	64573793	8	~1983
2017963	20179631	8	~1982
2018077	12108463	8	~1981
2018171	16145369	8	~1982
2018183	52472759	8	~1983
2018299	36329383	8	~1983
2018383	48441193	8	~1983
2018437	60553111	8	~1983
2018591	4037183	7	~1980
2018651	4037303	7	~1980
2018671	20186711	8	~1982
2018729	64599329	8	~1983
2018741	12112447	8	~1981
2019001	12114007	8	~1981
2019011	52494287	8	~1983
2019013	12114079	8	~1981
2019041	12114247	8	~1981
2019113	48458713	8	~1983
2019119	4038239	7	~1980
2019131	52497407	8	~1983
2019223	48461353	8	~1983
2019419	36349543	8	~1983
2019419	64621409	8
2019487	20194871	8	~1982
2019623	4039247	7	~1980

Exp.	Prime Factor	Digits	Year
2019713	12118279	8	~1981
2019739	20197391	8	~1982
2019761	12118567	8	~1981
2019959	36359263	8	~1983
2019967	68678879	8	~1983
2020003	32320049	8	~1982
2020079	4040159	7	~1980
2020391	4040783	7	~1980
2020423	20204231	8	~1982
2020561	12123367	8	~1981
2020861	177835769	9	~1984
2020861	335462927	9
2020961	12125767	8	~1981
2021017	194017633	9	~1984
2021167	20211671	8	~1982
2021203	32339249	8	~1982
2021237	28297319	8	~1982
2021333	28298663	8	~1982
2021471	4042943	7	~1980
2021501	60645031	8	~1983
2021653	12129919	8	~1981
2021659	36389863	8	~1983
2021737	32347793	8	~1982
2021779	36392023	8	~1983
2021801	16174409	8	~1982

Exp.	Prime Factor	Digits	Year
2021807	48523369	8	~1983
2021843	4043687	7	~1980
2021879	4043759	7	~1980
2021933	28307063	8	~1982
2022011	4044023	7	~1980
2022101	12132607	8	~1981
2022239	4044479	7	~1980
2022283	48534793	8	~1983
2022301	60669031	8	~1983
2022329	28312607	8	~1982
2022403	20224031	8	~1982
2022491	4044983	7	~1980
2022613	32361809	8	~1982
2022661	44498543	8	~1983
2022791	4045583	7	~1980
2022971	388410433	9	~1985
2023009	60690271	8	~1983
2023121	206358343	9	~1984
2023141	32370257	8	~1982
2023159	20231591	8	~1982
2023163	4046327	7	~1980
2023207	20232071	8	~1982
2023211	4046423	7	~1980
2023223	4046447	7	~1980
2023313	113305529	9	~1984

Exp.	Prime Factor	Digits	Year
2023337	109260199	9	~1984
2023607	16188857	8	~1982
2023661	16189289	8	~1982
2023811	4047623	7	~1980
2024111	4048223	7	~1980
2024117	16192937	8	~1982
2024177	16193417	8	~1982
2024339	4048679	7	~1980
2024383	48585193	8	~1983
2024413	12146479	8	~1981
2024531	4049063	7	~1980
2024767	20247671	8	~1982
2025251	4050503	7	~1980
2025493	60764791	8	~1983
2025503	4051007	7	~1980
2025557	16204457	8	~1982
2025641	113435897	9	~1984
2025671	4051343	7	~1980
2025767	16206137	8	~1982
2025767	36463807	8
2025767	97236817	8
2025791	4051583	7	~1980
2025791	52670567	8
2025869	28362167	8	~1982
2025887	16207097	8	~1982

5.037.460 digits

25-09-07