ON THE SOLUTION OF THE EQUATION $\dfrac{5}{k}=\dfrac{1}{x}+\dfrac{1}{y}+\dfrac{1}{z}$ ON THE SET OF NATURAL NUMBERS $N\{60n+1, n \in N\}$

E.Kh. Aslanyan

doi:10.46991/PYSU:A/2013.47.3.064

ON THE SOLUTION OF THE EQUATION $\dfrac{5}{k}=\dfrac{1}{x}+\dfrac{1}{y}+\dfrac{1}{z}$ ON THE SET OF NATURAL NUMBERS $N\{60n+1, n \in N\}$

Authors

E.Kh. Aslanyan State Architectural College of Abovyan, Armenia

DOI:

https://doi.org/10.46991/PYSU:A/2013.47.3.064

Keywords:

Serpinsky’s hypothesis

Abstract

In the present paper it is shown that for every number $k\not\equiv 1\pmod{60},$ the equation $\dfrac{5}{k}=\dfrac{1}{x}+\dfrac{1}{y}+\dfrac{1}{z}$ has at least one solution $(x, y, z)\in N.$

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Published

2013-11-20

How to Cite

Aslanyan, E. (2013). ON THE SOLUTION OF THE EQUATION $\dfrac{5}{k}=\dfrac{1}{x}+\dfrac{1}{y}+\dfrac{1}{z}$ ON THE SET OF NATURAL NUMBERS $N\{60n+1, n \in N\}$. Proceedings of the YSU A: Physical and Mathematical Sciences, 47(3 (232), 64–65. https://doi.org/10.46991/PYSU:A/2013.47.3.064