In this paper is studies the congecture 1/ 𝑥 + 1 /𝑦 + 1/ 𝑧 = 𝑎 /b.

In this paper, it is show that the Diophantine exponential equation:2x +12y=z2 has exactly three non – negative integer solutions {(3,0,3),(2,1,4),(8,2,20)}, the Diophantine exponential equation: 2x +14y=z2 has exactly ...