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On the Diophantine Equation <i>a</i> <i> <sup>x</sup> </i> +(<i>a</i> +2)<i> <sup>y</sup> </i> = <i>z</i> <sup>2</sup> Where <i>a</i> ≡ 5 (mod 42)
Abstract In this paper, we show that the Diophantine equation a x +( a +2) y = z 2 , where a ≡ 5 (mod 42) and a ∈ ℕ has no solution in non-negative integers.