Small Mersenne Prime Factors (page 361/5190)

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
1807511	57840353	8	~1983
1807693	10846159	8	~1981
1807723	18077231	8	~1982
1807781	57848993	8	~1983
1807829	25309607	8	~1982
1807853	25309943	8	~1982
1807969	72318761	8	~1983
1808003	3616007	7	~1980
1808039	3616079	7	~1980
1808039	14464313	8
1808071	28929137	8	~1982
1808077	10848463	8	~1981
1808117	68708447	8	~1983
1808453	25318343	8	~1982
1808479	18084791	8	~1982
1808549	25319687	8	~1982
1808581	28937297	8	~1982
1808813	10852879	8	~1981
1808831	14470649	8	~1981
1808843	3617687	7	~1980
1808869	256859399	9	~1984
1808951	3617903	7	~1980
1809373	28949969	8	~1982
1809403	72376121	8	~1983
1809419	275031689	9	~1984

Exp.	Prime Factor	Digits	Year
1809461	86854129	8	~1983
1809551	3619103	7	~1980
1809551	32571919	8
1809553	43429273	8	~1982
1809631	18096311	8	~1982
1809853	10859119	8	~1981
1809911	76016263	8	~1983
1810001	14480009	8	~1981
1810097	10860583	8	~1981
1810283	3620567	7	~1980
1810397	14483177	8	~1981
1810397	68795087	8
1810423	43450153	8	~1982
1810439	3620879	7	~1980
1810747	18107471	8	~1982
1810979	14487833	8	~1981
1810981	10865887	8	~1981
1811083	43465993	8	~1982
1811219	3622439	7	~1980
1811291	3622583	7	~1980
1811323	18113231	8	~1982
1811413	10868479	8	~1981
1811431	322434719	9	~1985
1811443	28983089	8	~1982
1811473	10868839	8	~1981

Exp.	Prime Factor	Digits	Year
1811567	14492537	8	~1981
1811657	25363199	8	~1982
1811683	1032659311	10	~1986
1811723	652220281	9	~1985
1811737	10870423	8	~1981
1811759	3623519	7	~1980
1811819	3623639	7	~1980
1812137	25369919	8	~1982
1812383	43497193	8	~1982
1812383	260983153	9
1812403	18124031	8	~1982
1812457	213869927	9	~1984
1812541	10875247	8	~1981
1812683	3625367	7	~1980
1812869	14502953	8	~1981
1812989	14503913	8	~1981
1813139	3626279	7	~1980
1813319	3626639	7	~1980
1813583	3627167	7	~1980
1813613	25390583	8	~1982
1813901	402686023	9	~1985
1814003	3628007	7	~1980
1814023	203170577	9	~1984
1814107	43538569	8	~1982
1814119	18141191	8	~1982

Exp.	Prime Factor	Digits	Year
1814129	14513033	8	~1981
1814233	43541593	8	~1982
1814237	156024383	9	~1984
1814339	3628679	7	~1980
1814339	32658103	8
1814357	10886143	8	~1981
1814381	14515049	8	~1981
1814459	14515673	8	~1981
1814531	3629063	7	~1980
1814651	3629303	7	~1980
1814759	3629519	7	~1980
1814777	10888663	8	~1981
1815083	3630167	7	~1980
1815179	3630359	7	~1980
1815179	14521433	8
1815491	3630983	7	~1980
1815599	14524793	8	~1981
1815691	32682439	8	~1982
1815733	261465553	9	~1984
1815799	32684383	8	~1982
1815899	3631799	7	~1980
1815959	3631919	7	~1980
1816091	14528729	8	~1981
1816211	3632423	7	~1980
1816253	43590073	8	~1982

4.888.230 digits

25-06-29