Geodesic
On the solution of the equation $\frac5k=\frac1x+\frac1y+\frac1z$ on the set of natural numbers $N\setminus \{60 n + 1, n\in N\}$
Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 3 (2013), pp. 64-65

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In the present paper it is shown that for every number $k\not\equiv1$ (mod 60) the equation $\frac5k=\frac1x+\frac1y+\frac1z$ has at least one solution $(x, y, z)\in N$.
Keywords: Serpinsky’s hypothesis. 
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     title = {On the solution of the equation $\frac5k=\frac1x+\frac1y+\frac1z$ on the set of natural numbers $N\setminus \{60 n + 1, n\in  N\}$},
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E. Kh. Aslanyan. On the solution of the equation $\frac5k=\frac1x+\frac1y+\frac1z$ on the set of natural numbers $N\setminus \{60 n + 1, n\in  N\}$. Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 3 (2013), pp. 64-65. http://geodesic.mathdoc.fr/item/UZERU_2013_3_a9/