Small Mersenne Prime Factors (page 759/5340)

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
5856029	81984407	8	~1986
5856091	562184737	9	~1988
5856113	35136679	8	~1985
5856113	81985583	8
5856239	11712479	8	~1984
5856337	35138023	8	~1985
5856407	46851257	8	~1985
5856419	46851353	8	~1985
5856439	58564391	8	~1986
5856443	11712887	8	~1984
5856493	35138959	8	~1985
5856497	81990959	8	~1986
5856509	46852073	8	~1985
5856761	46854089	8	~1985
5857193	35143159	8	~1985
5857307	46858457	8	~1985
5857561	35145367	8	~1985
5857619	11715239	8	~1984
5857763	11715527	8	~1984
5857961	35147767	8	~1985
5857991	11715983	8	~1984
5858003	11716007	8	~1984
5858243	11716487	8	~1984
5858341	35150047	8	~1985
5858431	58584311	8	~1986

Exp.	Prime Factor	Digits	Year
5858483	11716967	8	~1984
5858579	11717159	8	~1984
5858843	11717687	8	~1984
5858857	35153143	8	~1985
5858971	93743537	8	~1986
5859179	11718359	8	~1984
5859241	35155447	8	~1985
5859317	35155903	8	~1985
5859317	175779511	9
5859617	46876937	8	~1985
5859817	93757073	8	~1986
5859947	46879577	8	~1985
5860199	11720399	8	~1984
5860451	11720903	8	~1984
5860511	11721023	8	~1984
5860919	11721839	8	~1984
5860973	35165839	8	~1985
5861099	11722199	8	~1984
5861231	46889849	8	~1985
5861951	11723903	8	~1984
5862179	11724359	8	~1984
5862371	11724743	8	~1984
5862443	11724887	8	~1984
5862497	46899977	8	~1985
5862559	105526063	9	~1986

Exp.	Prime Factor	Digits	Year
5862599	2122260839	10	~1989
5862617	46900937	8	~1985
5862757	234510281	9	~1987
5862767	46902137	8	~1985
5862929	46903433	8	~1985
5863043	11726087	8	~1984
5863271	11726543	8	~1984
5863327	386979583	9	~1988
5863469	46907753	8	~1985
5863601	46908809	8	~1985
5863703	11727407	8	~1984
5863811	11727623	8	~1984
5863981	35183887	8	~1985
5864063	11728127	8	~1984
5864101	35184607	8	~1985
5864279	11728559	8	~1984
5864413	93830609	8	~1986
5864437	35186623	8	~1985
5864561	46916489	8	~1985
5864737	35188423	8	~1985
5864861	46918889	8	~1985
5865059	46920473	8	~1985
5865143	11730287	8	~1984
5865151	93842417	8	~1986
5865551	11731103	8	~1984

Exp.	Prime Factor	Digits	Year
5865571	58655711	8	~1986
5865751	516186089	9	~1988
5865817	35194903	8	~1985
5865919	58659191	8	~1986
5865971	11731943	8	~1984
5866043	11732087	8	~1984
5866417	35198503	8	~1985
5866807	93868913	8	~1986
5866897	316812439	9	~1987
5867003	11734007	8	~1984
5867009	46936073	8	~1985
5867063	11734127	8	~1984
5867063	1267285609	10
5867111	11734223	8	~1984
5867347	58673471	8	~1986
5867591	11735183	8	~1984
5867591	105616639	9
5867803	58678031	8	~1986
5867891	11735783	8	~1984
5867969	46943753	8	~1985
5868101	1302718423	10	~1989
5868143	11736287	8	~1984
5868277	35209663	8	~1985
5868361	35210167	8	~1985
5868959	11737919	8	~1984

5.037.460 digits

25-09-07