Small Mersenne Prime Factors (page 868/5025)

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
7606451	15212903	8	~1985
7606559	15213119	8	~1985
7606579	76065791	8	~1986
7606799	15213599	8	~1985
7606877	45641263	8	~1986
7607179	3408016193	10	~1990
7607221	45643327	8	~1986
7607261	60858089	8	~1986
7607357	45644143	8	~1986
7607849	289098263	9	~1988
7608233	45649399	8	~1986
7608311	15216623	8	~1985
7608323	15216647	8	~1985
7608457	45650743	8	~1986
7608577	182605849	9	~1987
7608719	15217439	8	~1985
7608737	45652423	8	~1986
7609103	15218207	8	~1985
7609153	45654919	8	~1986
7609321	45655927	8	~1986
7609337	837027071	9	~1989
7609681	45658087	8	~1986
7609907	182637769	9	~1987
7610303	15220607	8	~1985
7610783	15221567	8	~1985

Exp.	Prime Factor	Digits	Year
7610819	15221639	8	~1985
7610927	136996687	9	~1987
7611047	502329103	9	~1988
7611119	15222239	8	~1985
7611239	15222479	8	~1985
7611437	106560119	9	~1987
7611479	15222959	8	~1985
7611581	45669487	8	~1986
7611743	15223487	8	~1985
7611941	60895529	8	~1986
7612043	15224087	8	~1985
7613519	15227039	8	~1985
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
7616291	15232583	8	~1985

Exp.	Prime Factor	Digits	Year
7616573	106632023	9	~1987
7616699	15233399	8	~1985
7616711	15233423	8	~1985
7616837	106635719	9	~1987
7617143	15234287	8	~1985
7617251	15234503	8	~1985
7617359	15234719	8	~1985
7617397	45704383	8	~1986
7617433	45704599	8	~1986
7617503	15235007	8	~1985
7617557	60940457	8	~1986
7617593	228527791	9	~1988
7617719	15235439	8	~1985
7618001	45708007	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

Exp.	Prime Factor	Digits	Year
7619999	15239999	8	~1985
7619999	60959993	8
7620023	15240047	8	~1985
7620191	15240383	8	~1985
7620737	45724423	8	~1986
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
7623311	60986489	8	~1986
7623359	15246719	8	~1985
7623403	121974449	9	~1987
7623661	45741967	8	~1986
7623779	15247559	8	~1985

4.724.182 digits

25-04-13