Small Mersenne Prime Factors (page 998/6045)

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
8700113	52200679	8	~1986
8700457	52202743	8	~1986
8700539	17401079	8	~1985
8700581	69604649	8	~1987
8700871	365436583	9	~1988
8701067	69608537	8	~1987
8701081	52206487	8	~1986
8701117	52206703	8	~1986
8701141	139218257	9	~1987
8701409	69611273	8	~1987
8701657	52209943	8	~1986
8701747	87017471	8	~1987
8701991	17403983	8	~1985
8702231	17404463	8	~1985
8702279	17404559	8	~1985
8702371	87023711	8	~1987
8702483	17404967	8	~1985
8702557	52215343	8	~1986
8702777	121838879	9	~1987
8702833	52216999	8	~1986
8703257	69626057	8	~1987
8703551	417770449	9	~1989
8703613	52221679	8	~1986
8703659	17407319	8	~1985
8703743	17407487	8	~1985

Exp.	Prime Factor	Digits	Year
8703911	17407823	8	~1985
8704049	208897177	9	~1988
8704183	1758244967	10	~1990
8704303	365580727	9	~1988
8704559	69636473	8	~1987
8704951	87049511	8	~1987
8705111	69640889	8	~1987
8705219	17410439	8	~1985
8705237	52231423	8	~1986
8705311	87053111	8	~1987
8705369	69642953	8	~1987
8705443	87054431	8	~1987
8705461	609382271	9	~1989
8705531	17411063	8	~1985
8705803	87058031	8	~1987
8705831	17411663	8	~1985
8706251	278600033	9	~1988
8706337	52238023	8	~1986
8706419	156715543	9	~1988
8706479	17412959	8	~1985
8706479	69651833	8
8706611	17413223	8	~1985
8707241	52243447	8	~1986
8707607	208982569	9	~1988
8707631	17415263	8	~1985

Exp.	Prime Factor	Digits	Year
8707763	17415527	8	~1985
8707793	52246759	8	~1986
8707877	52247263	8	~1986
8708069	278658209	9	~1988
8708081	52248487	8	~1986
8708527	139336433	9	~1987
8708537	69668297	8	~1987
8708663	17417327	8	~1985
8708831	17417663	8	~1985
8708969	69671753	8	~1987
8709383	17418767	8	~1985
8709443	17418887	8	~1985
8709509	69676073	8	~1987
8709553	261286591	9	~1988
8709713	52258279	8	~1986
8709971	17419943	8	~1985
8709973	52259839	8	~1986
8710061	69680489	8	~1987
8710193	52261159	8	~1986
8710277	52261663	8	~1986
8710333	52261999	8	~1986
8710343	17420687	8	~1985
8710567	209053609	9	~1988
8710631	17421263	8	~1985
8710679	17421359	8	~1985

Exp.	Prime Factor	Digits	Year
8710733	1045287961	10	~1990
8711051	17422103	8	~1985
8711083	87110831	8	~1987
8711347	348453881	9	~1988
8711401	52268407	8	~1986
8711561	52269367	8	~1986
8711741	69693929	8	~1987
8711777	52270663	8	~1986
8711987	156815767	9	~1988
8712181	52273087	8	~1986
8712259	87122591	8	~1987
8712337	52274023	8	~1986
8713007	69704057	8	~1987
8713009	209112217	9	~1988
8713583	17427167	8	~1985
8713643	17427287	8	~1985
8713811	17427623	8	~1985
8713931	17427863	8	~1985
8713931	69711449	8
8714003	17428007	8	~1985
8714021	69712169	8	~1987
8714231	69713849	8	~1987
8714491	348579641	9	~1988
8714903	17429807	8	~1985
8714963	17429927	8	~1985

5.740.663 digits

26-08-02