Small Mersenne Prime Factors (page 391/5550)

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
1991881	11951287	8	~1981
1991911	19919111	8	~1982
1991929	139435031	9	~1984
1991963	3983927	7	~1980
1991999	3983999	7	~1980
1992073	11952439	8	~1981
1992181	31874897	8	~1982
1992299	3984599	7	~1980
1992299	15938393	8
1992583	19925831	8	~1982
1992631	19926311	8	~1982
1992719	15941753	8	~1982
1992803	83697727	8	~1983
1992971	83704783	8	~1983
1993031	3986063	7	~1980
1993087	19930871	8	~1982
1993151	3986303	7	~1980
1993247	15945977	8	~1982
1993259	3986519	7	~1980
1993259	35878663	8
1993349	27906887	8	~1982
1993367	99668351	8	~1984
1993477	11960863	8	~1981
1993531	35883559	8	~1983
1993603	19936031	8	~1982

Exp.	Prime Factor	Digits	Year
1993631	15949049	8	~1982
1993637	11961823	8	~1981
1993643	3987287	7	~1980
1993661	15949289	8	~1982
1993681	2723368247	10	~1987
1993759	19937591	8	~1982
1993933	47854393	8	~1983
1993933	59817991	8
1993973	27915623	8	~1982
1994227	31907633	8	~1982
1994339	3988679	7	~1980
1994437	31910993	8	~1982
1994477	11966863	8	~1981
1994497	47867929	8	~1983
1994519	3989039	7	~1980
1994621	11967727	8	~1981
1994647	31914353	8	~1982
1994687	35904367	8	~1983
1994717	27926039	8	~1982
1994777	27926879	8	~1982
1994879	3989759	7	~1980
1994911	31918577	8	~1982
1995023	3990047	7	~1980
1995221	11971327	8	~1981
1995221	15961769	8

Exp.	Prime Factor	Digits	Year
1995223	47885353	8	~1983
1995391	143668153	9	~1984
1995431	3990863	7	~1980
1995547	35919847	8	~1983
1995611	3991223	7	~1980
1995787	35924167	8	~1983
1995827	35924887	8	~1983
1995971	3991943	7	~1980
1995977	11975863	8	~1981
1996207	67871039	8	~1983
1996223	3992447	7	~1980
1996229	27947207	8	~1982
1996283	3992567	7	~1980
1996343	3992687	7	~1980
1996613	63891617	8	~1983
1996711	19967111	8	~1982
1996763	3993527	7	~1980
1996817	15974537	8	~1982
1996859	15974873	8	~1982
1996937	11981623	8	~1981
1996949	47926777	8	~1983
1996979	3993959	7	~1980
1997003	3994007	7	~1980
1997111	3994223	7	~1980
1997111	63907553	8

Exp.	Prime Factor	Digits	Year
1997111	95861329	8
1997321	15978569	8	~1982
1997351	63915233	8	~1983
1997407	67911839	8	~1983
1997531	143822233	9	~1984
1997543	179778871	9	~1984
1997591	3995183	7	~1980
1997707	19977071	8	~1982
1997771	3995543	7	~1980
1997813	11986879	8	~1981
1997813	63930017	8
1997843	3995687	7	~1980
1997899	19978991	8	~1982
1997999	15983993	8	~1982
1998077	11988463	8	~1981
1998077	27973079	8
1998133	11988799	8	~1981
1998319	19983191	8	~1982
1998329	47959897	8	~1983
1998371	3996743	7	~1980
1998541	11991247	8	~1981
1998559	67951007	8	~1983
1998977	15991817	8	~1982
1999007	15992057	8	~1982
1999099	47978377	8	~1983

5.247.179 digits

25-12-14