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ON THE DIOPHANTINE EQUATION <i>x</i><sup>2</sup> + 5<sup><i>a</i></sup> 13<sup><i>b</i></sup> = <i>y</i><sup><i>n</i></sup>

Fadwa S. Abu Muriefah, Florian Luca, Alain Togbé

Glasgow Mathematical Journal · 2008 · 17 citations · 12 references

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Abstract

Abstract In this note, we find all the solutions of the Diophantine equation x 2 + 5 a 13 b = y n in positive integers x, y, a, b, n ≥ 3 with x and y coprime.

References

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, , +3

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On the Diophantine equation <i>x</i><sup>2</sup> + 2<sup><i>k</i></sup> = <i>y</i><sup><i>n</i></sup>

Salmawaty Arif, Fadwa S. Abu Muriefah · International Journal of Mathematics and Mathematical Sciences · 1995 · 44 citations · Full text

, , +9

On Cohn's conjecture concerning the diophantine equation¶ x 2 + 2 m = y n

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, , +4