Small Mersenne Prime Factors (page 919/5985)

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
7613791	137048239	9	~1987
7613849	60910793	8	~1986
7613867	60910937	8	~1986
7613923	121822769	9	~1987
7614371	15228743	8	~1985
7614493	45686959	8	~1986
7614647	182751529	9	~1987
7614707	60917657	8	~1986
7615043	15230087	8	~1985
7615159	76151591	8	~1986
7615991	60927929	8	~1986
7616057	60928457	8	~1986
7616123	15232247	8	~1985
7616143	76161431	8	~1986
7616291	15232583	8	~1985
7616503	76165031	8	~1986
7616573	106632023	9	~1987
7616699	15233399	8	~1985
7616711	15233423	8	~1985
7616837	106635719	9	~1987
7616911	76169111	8	~1986
7617143	15234287	8	~1985
7617251	15234503	8	~1985
7617359	15234719	8	~1985
7617397	45704383	8	~1986

Exp.	Prime Factor	Digits	Year
7617433	45704599	8	~1986
7617503	15235007	8	~1985
7617557	60940457	8	~1986
7617593	228527791	9	~1988
7617719	15235439	8	~1985
7618001	45708007	8	~1986
7618027	76180271	8	~1986
7618151	15236303	8	~1985
7618223	15236447	8	~1985
7618301	60946409	8	~1986
7618409	60947273	8	~1986
7618757	45712543	8	~1986
7618811	15237623	8	~1985
7619393	106671503	9	~1987
7619411	60955289	8	~1986
7619411	137149399	9
7619603	15239207	8	~1985
7619713	45718279	8	~1986
7619999	15239999	8	~1985
7619999	60959993	8
7620023	15240047	8	~1985
7620191	15240383	8	~1985
7620247	76202471	8	~1986
7620523	76205231	8	~1986
7620737	45724423	8	~1986

Exp.	Prime Factor	Digits	Year
7620839	15241679	8	~1985
7620863	15241727	8	~1985
7620931	137176759	9	~1987
7621217	60969737	8	~1986
7621547	60972377	8	~1986
7621619	60972953	8	~1986
7621843	76218431	8	~1986
7622291	15244583	8	~1985
7622399	15244799	8	~1985
7622663	15245327	8	~1985
7622779	320156719	9	~1988
7622837	45737023	8	~1986
7622873	45737239	8	~1986
7623037	121968593	9	~1987
7623137	106723919	9	~1987
7623229	167711039	9	~1987
7623311	60986489	8	~1986
7623359	15246719	8	~1985
7623403	121974449	9	~1987
7623661	45741967	8	~1986
7623779	15247559	8	~1985
7624033	121984529	9	~1987
7624139	60993113	8	~1986
7624271	15248543	8	~1985
7624433	45746599	8	~1986

Exp.	Prime Factor	Digits	Year
7624457	60995657	8	~1986
7624649	60997193	8	~1986
7624691	15249383	8	~1985
7624691	60997529	8
7624831	137246959	9	~1987
7624913	45749479	8	~1986
7625323	305012921	9	~1988
7625357	61002857	8	~1986
7625363	15250727	8	~1985
7625603	15251207	8	~1985
7625621	45753727	8	~1986
7625699	15251399	8	~1985
7625701	45754207	8	~1986
7625789	61006313	8	~1986
7625939	15251879	8	~1985
7626119	15252239	8	~1985
7626313	228789391	9	~1988
7626629	61013033	8	~1986
7626667	122026673	9	~1987
7627003	76270031	8	~1986
7627063	76270631	8	~1986
7627093	45762559	8	~1986
7627199	15254399	8	~1985
7627393	45764359	8	~1986
7627589	244082849	9	~1988

5.680.769 digits

26-07-05