Bulletin of the Australian Mathematical Society · 2000 · 18 citations · 3 references
Natural SciencesMathematicsNumber TheoryDiophantine EquationsDiophantine Equation SolvingIntegral SolutionsLinear Diophantine EquationsPolynomial Diophantine EquationsRational Solutions
In this note, we find all solutions of the diophatine equation x 2 + 3 m = y n , where ( x, y, m, n ) are non-negative integers with x ≠ 0 and n ≥ 3.
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The diophantine equation x² + C = yⁿ
Jonathan Cohn · Acta Arithmetica · 1993 · 61 citations · Full text