Small Mersenne Prime Factors (page 946/5775)

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
8150071	81500711	8	~1987
8150321	48901927	8	~1986
8150321	65202569	8
8150459	16300919	8	~1985
8150657	847668329	9	~1989
8150761	48904567	8	~1986
8150771	16301543	8	~1985
8150977	48905863	8	~1986
8151023	16302047	8	~1985
8151161	48906967	8	~1986
8151397	48908383	8	~1986
8151527	146727487	9	~1987
8151623	16303247	8	~1985
8151859	668452439	9	~1989
8151881	48911287	8	~1986
8152031	16304063	8	~1985
8152283	16304567	8	~1985
8152379	16304759	8	~1985
8152457	48914743	8	~1986
8152883	16305767	8	~1985
8152927	472869767	9	~1989
8153021	48918127	8	~1986
8153039	16306079	8	~1985
8153069	65224553	8	~1986
8153213	48919279	8	~1986

Exp.	Prime Factor	Digits	Year
8153399	16306799	8	~1985
8153543	16307087	8	~1985
8153771	391381009	9	~1988
8154277	48925663	8	~1986
8154299	16308599	8	~1985
8154599	16309199	8	~1985
8154869	114168167	9	~1987
8155031	65240249	8	~1986
8155319	195727657	9	~1988
8155391	16310783	8	~1985
8155421	65243369	8	~1986
8155457	48932743	8	~1986
8155471	146798479	9	~1987
8155621	48933727	8	~1986
8155859	16311719	8	~1985
8156153	48936919	8	~1986
8156341	48938047	8	~1986
8156387	65251097	8	~1986
8156501	65252009	8	~1986
8156699	848296697	9	~1989
8156723	16313447	8	~1985
8157181	48943087	8	~1986
8157431	65259449	8	~1986
8157509	195780217	9	~1988
8157683	16315367	8	~1985

Exp.	Prime Factor	Digits	Year
8157869	505787879	9	~1989
8158013	48948079	8	~1986
8158021	571061471	9	~1989
8158103	16316207	8	~1985
8158229	1093202687	10	~1989
8158457	195802969	9	~1988
8158517	48951103	8	~1986
8158751	16317503	8	~1985
8158919	16317839	8	~1985
8159093	48954559	8	~1986
8159419	473246303	9	~1989
8159423	16318847	8	~1985
8159467	81594671	8	~1987
8159621	65276969	8	~1986
8159821	130557137	9	~1987
8159971	146879479	9	~1987
8160011	16320023	8	~1985
8160197	65281577	8	~1986
8161259	16322519	8	~1985
8161511	16323023	8	~1985
8161859	16323719	8	~1985
8162017	48972103	8	~1986
8162051	16324103	8	~1985
8162111	16324223	8	~1985
8162123	16324247	8	~1985

Exp.	Prime Factor	Digits	Year
8162411	16324823	8	~1985
8162603	16325207	8	~1985
8162629	3705833567	10	~1991
8162653	440783263	9	~1988
8162747	212231423	9	~1988
8162773	48976639	8	~1986
8162831	16325663	8	~1985
8163191	16326383	8	~1985
8163487	81634871	8	~1987
8163503	16327007	8	~1985
8163641	48981847	8	~1986
8163709	326548361	9	~1988
8163821	65310569	8	~1986
8163971	16327943	8	~1985
8164451	16328903	8	~1985
8164477	48986863	8	~1986
8164619	16329239	8	~1985
8164841	48989047	8	~1986
8165093	48990559	8	~1986
8165351	16330703	8	~1985
8165393	440931223	9	~1988
8165527	195972649	9	~1988
8165761	48994567	8	~1986
8165903	16331807	8	~1985
8165939	16331879	8	~1985

5.471.290 digits

26-03-29