Question: how do i show that the equation x^2 = y^3 + 23 has no solution in integers. (the hint is to : consider x^2 +4

how do i show that the equation x^2 = y^3 + 23 has no solution in integers. (the hint is to : consider x^2 +4 and factor it).

( I can show that if y is even it doesn't work based on mod 4 but doesn't show it for y odd )

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