Small Mersenne Prime Factors (page 782/6045)

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
5766749	46133993	8	~1985
5766779	11533559	8	~1984
5766977	34601863	8	~1985
5767049	46136393	8	~1985
5767171	92274737	8	~1986
5767297	34603783	8	~1985
5767339	57673391	8	~1986
5767577	80746079	8	~1986
5768033	173040991	9	~1987
5768233	92291729	8	~1986
5768317	34609903	8	~1985
5768473	34610839	8	~1985
5768531	11537063	8	~1984
5768731	230749241	9	~1987
5768803	92300849	8	~1986
5768897	46151177	8	~1985
5769053	34614319	8	~1985
5769161	173074831	9	~1987
5769461	34616767	8	~1985
5769557	34617343	8	~1985
5769719	11539439	8	~1984
5769823	242332567	9	~1987
5769833	726998959	9	~1988
5770031	380822047	9	~1988
5770253	34621519	8	~1985

Exp.	Prime Factor	Digits	Year
5770379	11540759	8	~1984
5770393	138489433	9	~1986
5770511	46164089	8	~1985
5770537	34623223	8	~1985
5770579	196199687	9	~1987
5770703	11541407	8	~1984
5770727	276994897	9	~1987
5770789	138498937	9	~1986
5770859	46166873	8	~1985
5770903	57709031	8	~1986
5770949	80793287	8	~1986
5770993	126961847	9	~1986
5771057	34626343	8	~1985
5771879	11543759	8	~1984
5771897	46175177	8	~1985
5772077	34632463	8	~1985
5772617	34635703	8	~1985
5772719	11545439	8	~1984
5772731	11545463	8	~1984
5772863	11545727	8	~1984
5773267	277116817	9	~1987
5773363	57733631	8	~1986
5773373	80827223	8	~1986
5773423	57734231	8	~1986
5773451	11546903	8	~1984

Exp.	Prime Factor	Digits	Year
5773577	34641463	8	~1985
5773679	46189433	8	~1985
5773811	11547623	8	~1984
5773877	80834279	8	~1986
5774051	103932919	9	~1986
5774159	11548319	8	~1984
5774179	57741791	8	~1986
5774551	57745511	8	~1986
5775041	34650247	8	~1985
5775061	34650367	8	~1985
5775439	57754391	8	~1986
5775481	34652887	8	~1985
5775551	11551103	8	~1984
5775613	127063487	9	~1986
5775709	369645377	9	~1988
5775821	46206569	8	~1985
5775839	11551679	8	~1984
5776079	11552159	8	~1984
5776163	11552327	8	~1984
5776333	34657999	8	~1985
5776451	11552903	8	~1984
5776811	11553623	8	~1984
5777633	80886863	8	~1986
5777677	34666063	8	~1985
5777819	11555639	8	~1984

Exp.	Prime Factor	Digits	Year
5777833	34666999	8	~1985
5778151	92450417	8	~1986
5778301	34669807	8	~1985
5778301	127122623	9
5778467	46227737	8	~1985
5778491	11556983	8	~1984
5778659	11557319	8	~1984
5778737	34672423	8	~1985
5778893	80904503	8	~1986
5779043	11558087	8	~1984
5779061	46232489	8	~1985
5779063	57790631	8	~1986
5779153	34674919	8	~1985
5779271	11558543	8	~1984
5779331	46234649	8	~1985
5779573	34677439	8	~1985
5779799	11559599	8	~1984
5779843	57798431	8	~1986
5780317	92485073	8	~1986
5780393	34682359	8	~1985
5780711	11561423	8	~1984
5780711	104052799	9
5780923	92494769	8	~1986
5781059	11562119	8	~1984
5781131	11562263	8	~1984

5.740.663 digits

26-08-02