Natural Science, Physics, 2025
ON THE SOLUTION OF THE EQUATION5k=1x+1y+1zON THESET OF NATURAL NUMBERSN{60n+1,n∈N}
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Submitted: 2025-02-17; Published: 2025-02-17
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Abstract
In the present paper it is shown that for every numberk6≡1(mod 60),the equation5k=1x+1y+1zhas at least one solution(x,y,z)∈N.