Small Mersenne Prime Factors (page 375/5190)

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
1914743	3829487	7	~1980
1914889	45957337	8	~1983
1914949	57448471	8	~1983
1914959	3829919	7	~1980
1914959	61278689	8
1915103	3830207	7	~1980
1915163	3830327	7	~1980
1915241	27192591719	11	~1989
1915289	45966937	8	~1983
1915337	11492023	8	~1981
1915619	45974857	8	~1983
1915691	15325529	8	~1982
1915799	3831599	7	~1980
1915811	3831623	7	~1980
1915817	57474511	8	~1983
1915853	26821943	8	~1982
1915891	76635641	8	~1983
1915939	45982537	8	~1983
1915957	57478711	8	~1983
1915993	11495959	8	~1981
1915997	11495983	8	~1981
1916027	15328217	8	~1982
1916051	325728671	9	~1985
1916069	15328553	8	~1982
1916129	15329033	8	~1982

Exp.	Prime Factor	Digits	Year
1916251	34492519	8	~1982
1916281	168632729	9	~1984
1916339	3832679	7	~1980
1916353	11498119	8	~1981
1916543	3833087	7	~1980
1916591	3833183	7	~1980
1916647	19166471	8	~1982
1916729	15333833	8	~1982
1916729	26834207	8
1916857	11501143	8	~1981
1916977	46007449	8	~1983
1917029	61344929	8	~1983
1917079	46009897	8	~1983
1917089	61346849	8	~1983
1917203	3834407	7	~1980
1917287	34511167	8	~1982
1917301	322106569	9	~1985
1917341	11504047	8	~1981
1917367	30677873	8	~1982
1917479	3834959	7	~1980
1917493	57524791	8	~1983
1917493	3739111351	10
1917511	34515199	8	~1982
1917623	46022953	8	~1983
1917667	19176671	8	~1982

Exp.	Prime Factor	Digits	Year
1917737	11506423	8	~1981
1917743	3835487	7	~1980
1917749	149584423	9	~1984
1918079	15344633	8	~1982
1918097	11508583	8	~1981
1918121	11508727	8	~1981
1918157	11508943	8	~1981
1918313	257053943	9	~1985
1918463	3836927	7	~1980
1918517	11511103	8	~1981
1918529	15348233	8	~1982
1918571	3837143	7	~1980
1918643	3837287	7	~1980
1918747	19187471	8	~1982
1918919	92108113	8	~1983
1918921	11513527	8	~1981
1918991	61407713	8	~1983
1919279	15354233	8	~1982
1919299	19192991	8	~1982
1919377	57581311	8	~1983
1919839	19198391	8	~1982
1919891	3839783	7	~1980
1919891	49917167	8
1920043	30720689	8	~1982
1920221	11521327	8	~1981

Exp.	Prime Factor	Digits	Year
1920239	3840479	7	~1980
1920257	26883599	8	~1982
1920343	65291663	8	~1983
1920377	11522263	8	~1981
1920497	11522983	8	~1981
1920497	57614911	8
1920587	15364697	8	~1982
1920593	11523559	8	~1981
1920599	3841199	7	~1980
1920617	46094809	8	~1983
1920637	92190577	8	~1983
1920683	3841367	7	~1980
1920701	11524207	8	~1981
1920803	587765719	9	~1985
1920839	3841679	7	~1980
1920959	3841919	7	~1980
1921021	57630631	8	~1983
1921097	11526583	8	~1981
1921229	15369833	8	~1982
1921457	26900399	8	~1982
1921457	57643711	8
1921499	3842999	7	~1980
1921657	11529943	8	~1981
1921921	57657631	8	~1983
1922119	123015617	9	~1984

4.888.230 digits

25-06-29