Small Mersenne Prime Factors (page 761/5340)

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
5881873	35291239	8	~1985
5882171	47057369	8	~1985
5882189	82350647	8	~1986
5882203	58822031	8	~1986
5882531	11765063	8	~1984
5882861	47062889	8	~1985
5882879	11765759	8	~1984
5882939	11765879	8	~1984
5882939	105892903	9
5883233	505958039	9	~1988
5883323	11766647	8	~1984
5883803	11767607	8	~1984
5883961	94143377	8	~1986
5884139	47073113	8	~1985
5884171	58841711	8	~1986
5884337	35306023	8	~1985
5884379	11768759	8	~1984
5884721	47077769	8	~1985
5884751	11769503	8	~1984
5884793	82387103	8	~1986
5884871	11769743	8	~1984
5884919	11769839	8	~1984
5885267	47082137	8	~1985
5885531	11771063	8	~1984
5885543	11771087	8	~1984

Exp.	Prime Factor	Digits	Year
5885783	11771567	8	~1984
5885833	35314999	8	~1985
5885843	11771687	8	~1984
5885981	47087849	8	~1985
5886037	553287479	9	~1988
5886149	47089193	8	~1985
5886271	105952879	9	~1986
5886481	35318887	8	~1985
5886521	47092169	8	~1985
5886541	35319247	8	~1985
5886701	176601031	9	~1987
5886767	47094137	8	~1985
5886911	11773823	8	~1984
5887121	47096969	8	~1985
5887451	105974119	9	~1986
5887513	176625391	9	~1987
5887577	35325463	8	~1985
5887601	35325607	8	~1985
5887631	11775263	8	~1984
5887867	94205873	8	~1986
5888219	47105753	8	~1985
5888321	47106569	8	~1985
5888411	11776823	8	~1984
5888627	329763113	9	~1987
5888633	35331799	8	~1985

Exp.	Prime Factor	Digits	Year
5888639	11777279	8	~1984
5888693	35332159	8	~1985
5888951	11777903	8	~1984
5889097	35334583	8	~1985
5889239	11778479	8	~1984
5889313	35335879	8	~1985
5889419	106009543	9	~1986
5889461	35336767	8	~1985
5889661	129572543	9	~1986
5889683	11779367	8	~1984
5889811	58898111	8	~1986
5890303	94244849	8	~1986
5890337	35342023	8	~1985
5890583	11781167	8	~1984
5890601	47124809	8	~1985
5890637	47125097	8	~1985
5890639	58906391	8	~1986
5890693	35344159	8	~1985
5890853	35345119	8	~1985
5890979	47127833	8	~1985
5891051	11782103	8	~1984
5891261	35347567	8	~1985
5891383	58913831	8	~1986
5891467	58914671	8	~1986
5891531	11783063	8	~1984

Exp.	Prime Factor	Digits	Year
5891531	47132249	8
5891663	11783327	8	~1984
5891849	47134793	8	~1985
5891983	58919831	8	~1986
5892371	47138969	8	~1985
5892443	11784887	8	~1984
5892521	35355127	8	~1985
5892721	35356327	8	~1985
5892791	11785583	8	~1984
5892989	47143913	8	~1985
5893403	11786807	8	~1984
5893411	58934111	8	~1986
5893697	176810911	9	~1987
5893879	58938791	8	~1986
5893997	35363983	8	~1985
5894039	11788079	8	~1984
5894177	47153417	8	~1985
5894363	11788727	8	~1984
5894377	35366263	8	~1985
5894401	35366407	8	~1985
5894653	35367919	8	~1985
5894671	58946711	8	~1986
5894723	11789447	8	~1984
5894893	35369359	8	~1985
5895119	188643809	9	~1987

5.037.460 digits

25-09-07