Small Mersenne Prime Factors (page 381/5025)

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
1986067	31777073	8	~1982
1986133	31778129	8	~1982
1986421	43701263	8	~1983
1986437	15891497	8	~1982
1986577	11919463	8	~1981
1986923	3973847	7	~1980
1986949	47686777	8	~1983
1987049	59611471	8	~1983
1987151	51665927	8	~1983
1987201	11923207	8	~1981
1987241	15897929	8	~1982
1987277	11923663	8	~1981
1987339	35772103	8	~1982
1987411	35773399	8	~1982
1987481	190798177	9	~1984
1987619	3975239	7	~1980
1987679	15901433	8	~1982
1987889	15903113	8	~1982
1988023	83496967	8	~1983
1988087	15904697	8	~1982
1988183	3976367	7	~1980
1988219	3976439	7	~1980
1988219	15905753	8
1988251	79530041	8	~1983
1988263	19882631	8	~1982

Exp.	Prime Factor	Digits	Year
1988291	15906329	8	~1982
1988471	3976943	7	~1980
1988513	11931079	8	~1981
1988531	3977063	7	~1980
1988561	15908489	8	~1982
1988579	3977159	7	~1980
1988587	31817393	8	~1982
1988599	35794783	8	~1982
1988653	11931919	8	~1981
1988729	75571703	8	~1983
1988837	27843719	8	~1982
1988897	107400439	9	~1984
1988941	91491287	8	~1983
1988963	3977927	7	~1980
1988999	3977999	7	~1980
1989073	43759607	8	~1983
1989131	3978263	7	~1980
1989161	111393017	9	~1984
1989479	15915833	8	~1982
1989551	83561143	8	~1983
1989563	3979127	7	~1980
1989583	47749993	8	~1983
1989721	31835537	8	~1982
1989847	19898471	8	~1982
1990007	274620967	9	~1985

Exp.	Prime Factor	Digits	Year
1990151	3980303	7	~1980
1990171	35823079	8	~1982
1990447	19904471	8	~1982
1990463	51752039	8	~1983
1990559	3981119	7	~1980
1990559	207018137	9
1990621	43793663	8	~1983
1990823	3981647	7	~1980
1990883	3981767	7	~1980
1990939	35836903	8	~1982
1991123	3982247	7	~1980
1991251	35842519	8	~1982
1991489	15931913	8	~1982
1991519	3983039	7	~1980
1991609	47798617	8	~1983
1991879	35853823	8	~1982
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

Exp.	Prime Factor	Digits	Year
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	~1982
1993603	19936031	8	~1982
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

4.724.182 digits

25-04-13