Small Mersenne Prime Factors (page 891/5340)

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
7683421	230502631	9	~1988
7683479	15366959	8	~1985
7683653	46101919	8	~1986
7683839	15367679	8	~1985
7683899	15367799	8	~1985
7684253	46105519	8	~1986
7684381	46106287	8	~1986
7684421	46106527	8	~1986
7684751	15369503	8	~1985
7684763	15369527	8	~1985
7684877	46109263	8	~1986
7685021	61480169	8	~1986
7685057	46110343	8	~1986
7685077	122961233	9	~1987
7685459	15370919	8	~1985
7685543	15371087	8	~1985
7685663	15371327	8	~1985
7685791	122972657	9	~1987
7685857	46115143	8	~1986
7686011	15372023	8	~1985
7686067	138349207	9	~1987
7686083	15372167	8	~1985
7686101	61488809	8	~1986
7686221	46117327	8	~1986
7686277	46117663	8	~1986

Exp.	Prime Factor	Digits	Year
7686331	445807199	9	~1988
7686593	46119559	8	~1986
7686821	46120927	8	~1986
7686851	61494809	8	~1986
7686911	15373823	8	~1985
7686923	15373847	8	~1985
7687079	15374159	8	~1985
7687103	15374207	8	~1985
7687271	61498169	8	~1986
7687297	46123783	8	~1986
7687331	15374663	8	~1985
7687763	15375527	8	~1985
7687811	61502489	8	~1986
7687919	15375839	8	~1985
7687921	169134263	9	~1987
7688039	15376079	8	~1985
7688399	15376799	8	~1985
7688459	15376919	8	~1985
7688591	15377183	8	~1985
7688789	107643047	9	~1987
7688963	15377927	8	~1985
7689191	15378383	8	~1985
7689257	46135543	8	~1986
7689323	15378647	8	~1985
7689359	15378719	8	~1985

Exp.	Prime Factor	Digits	Year
7689467	61515737	8	~1986
7689653	46137919	8	~1986
7689719	15379439	8	~1985
7690013	46140079	8	~1986
7690021	307600841	9	~1988
7690091	61520729	8	~1986
7690181	46141087	8	~1986
7690439	15380879	8	~1985
7690541	61524329	8	~1986
7690583	15381167	8	~1985
7690589	107668247	9	~1987
7690643	15381287	8	~1985
7690703	15381407	8	~1985
7690961	46145767	8	~1986
7691017	46146103	8	~1986
7691617	46149703	8	~1986
7691951	15383903	8	~1985
7691951	61535609	8
7692053	46152319	8	~1986
7692287	61538297	8	~1986
7692617	61540937	8	~1986
7692623	15385247	8	~1985
7692731	15385463	8	~1985
7692977	61543817	8	~1986
7693243	76932431	8	~1986

Exp.	Prime Factor	Digits	Year
7693331	15386663	8	~1985
7693403	15386807	8	~1985
7693597	123097553	9	~1987
7693667	61549337	8	~1986
7693739	61549913	8	~1986
7694003	15388007	8	~1985
7694237	61553897	8	~1986
7694539	76945391	8	~1986
7694651	15389303	8	~1985
7694663	15389327	8	~1985
7694917	46169503	8	~1986
7695629	61565033	8	~1986
7695859	76958591	8	~1986
7695871	138525679	9	~1987
7696079	15392159	8	~1985
7696127	61569017	8	~1986
7696411	138535399	9	~1987
7696511	61572089	8	~1986
7696679	15393359	8	~1985
7696951	76969511	8	~1986
7697219	15394439	8	~1985
7697303	15394607	8	~1985
7697351	15394703	8	~1985
7697639	15395279	8	~1985
7697741	46186447	8	~1986

5.037.460 digits

25-09-07