Small Mersenne Prime Factors (page 752/5340)

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
5764511	103761199	9	~1986
5764531	57645311	8	~1985
5764541	34587247	8	~1985
5764763	11529527	8	~1984
5764873	34589239	8	~1985
5765143	645696017	9	~1988
5765209	230608361	9	~1987
5765233	34591399	8	~1985
5765317	34591903	8	~1985
5765351	11530703	8	~1984
5765471	46123769	8	~1985
5765603	11531207	8	~1984
5765653	34593919	8	~1985
5765699	46125593	8	~1985
5765951	11531903	8	~1984
5766023	11532047	8	~1984
5766083	11532167	8	~1984
5766113	138386713	9	~1986
5766133	34596799	8	~1985
5766373	92261969	8	~1986
5766749	46133993	8	~1985
5766779	11533559	8	~1984
5766977	34601863	8	~1985
5767049	46136393	8	~1985
5767171	92274737	8	~1986

Exp.	Prime Factor	Digits	Year
5767297	34603783	8	~1985
5767339	57673391	8	~1985
5767577	80746079	8	~1986
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
5770379	11540759	8	~1984
5770393	138489433	9	~1986
5770511	46164089	8	~1985
5770537	34623223	8	~1985
5770579	196199687	9	~1987
5770703	11541407	8	~1984

Exp.	Prime Factor	Digits	Year
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
5773423	57734231	8	~1986
5773451	11546903	8	~1984
5773577	34641463	8	~1985
5773679	46189433	8	~1985
5773811	11547623	8	~1984
5773877	80834279	8	~1986
5774159	11548319	8	~1984
5774179	57741791	8	~1986
5774551	57745511	8	~1986

Exp.	Prime Factor	Digits	Year
5775041	34650247	8	~1985
5775061	34650367	8	~1985
5775439	57754391	8	~1986
5775481	34652887	8	~1985
5775551	11551103	8	~1984
5775613	127063487	9	~1986
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
5777677	34666063	8	~1985
5777819	11555639	8	~1984
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
5779043	11558087	8	~1984
5779061	46232489	8	~1985

5.037.460 digits

25-09-07