1 plus Square is not Perfect Power/Historical Note
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Historical Note on 1 plus Square is not Perfect Power
This is a special case of Catalan's Conjecture, and is due to Victor-Amédée Lebesgue.
(Not to be confused with Henri Léon Lebesgue.)
- 1850: Victor-Amédée Lebesgue: Sur l'impossibilité en nombres entiers de l'équation $x^m = y^2 + 1$ (Nouv. Ann. Math. Ser. 1 Vol. 9: pp. 178 – 181)