Small Mersenne Prime Factors (page 830/5610)

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
6626723	13253447	8	~1984
6627001	39762007	8	~1985
6627083	13254167	8	~1984
6627119	13254239	8	~1984
6627191	53017529	8	~1986
6627359	13254719	8	~1984
6627497	53019977	8	~1986
6627503	13255007	8	~1984
6627581	39765487	8	~1985
6627851	13255703	8	~1984
6627991	66279911	8	~1986
6628103	13256207	8	~1984
6628201	39769207	8	~1985
6628253	39769519	8	~1985
6628313	39769879	8	~1985
6628373	39770239	8	~1985
6628379	13256759	8	~1984
6628379	53027033	8
6628417	106054673	9	~1986
6628571	13257143	8	~1984
6628613	92800583	8	~1986
6628717	39772303	8	~1985
6628813	39772879	8	~1985
6629177	53033417	8	~1986
6629213	39775279	8	~1985

Exp.	Prime Factor	Digits	Year
6629471	13258943	8	~1984
6630101	53040809	8	~1986
6630167	53041337	8	~1986
6630191	53041529	8	~1986
6630467	53043737	8	~1986
6630551	13261103	8	~1984
6630749	92830487	8	~1986
6630817	39784903	8	~1985
6631109	53048873	8	~1986
6631379	13262759	8	~1984
6631571	13263143	8	~1984
6631591	66315911	8	~1986
6631679	13263359	8	~1984
6631693	39790159	8	~1985
6631721	39790327	8	~1985
6631721	53053769	8
6631871	13263743	8	~1984
6631979	278543119	9	~1988
6632051	13264103	8	~1984
6632063	13264127	8	~1984
6632141	39792847	8	~1985
6632519	13265039	8	~1984
6632519	53060153	8
6632819	13265639	8	~1984
6632981	39797887	8	~1985

Exp.	Prime Factor	Digits	Year
6633047	53064377	8	~1986
6633119	119396143	9	~1987
6633197	39799183	8	~1985
6633241	39799447	8	~1985
6633877	39803263	8	~1985
6634079	13268159	8	~1984
6634091	13268183	8	~1984
6634571	13269143	8	~1984
6634597	39807583	8	~1985
6634871	13269743	8	~1984
6635261	39811567	8	~1985
6635467	66354671	8	~1986
6635611	703374767	9	~1988
6635821	39814927	8	~1985
6635897	92902559	8	~1986
6635903	13271807	8	~1984
6635963	13271927	8	~1984
6636011	13272023	8	~1984
6636199	66361991	8	~1986
6636359	13272719	8	~1984
6636457	106183313	9	~1986
6636767	53094137	8	~1986
6636803	13273607	8	~1984
6637067	119467207	9	~1987
6637283	13274567	8	~1984

Exp.	Prime Factor	Digits	Year
6637439	13274879	8	~1984
6637439	53099513	8
6637637	39825823	8	~1985
6637643	13275287	8	~1984
6637979	13275959	8	~1984
6638227	66382271	8	~1986
6638459	13276919	8	~1984
6638531	13277063	8	~1984
6638689	199160671	9	~1987
6638893	39833359	8	~1985
6638903	13277807	8	~1984
6639041	53112329	8	~1986
6639331	66393311	8	~1986
6639389	53115113	8	~1986
6639929	53119433	8	~1986
6639989	92959847	8	~1986
6640021	39840127	8	~1985
6640079	53120633	8	~1986
6640163	13280327	8	~1984
6640349	53122793	8	~1986
6640477	39842863	8	~1985
6640757	39844543	8	~1985
6641077	39846463	8	~1985
6641197	159388729	9	~1987
6641249	92977487	8	~1986

5.307.017 digits

26-01-11