Abstract
In this paper we prove that the Diophantine equation as in the title has at most one integer solution if\( \in > 5 \times 10^7 \) where\( \in = u + \upsilon \sqrt d \) is the least positive solution of Pell’s equation\(x^2 - dy^2 = - 1\)
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References
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Hua, C.J. A note on the diophantine equation x2 + 1 = dy4 . Abh.Math.Semin.Univ.Hambg. 64, 1–10 (1994). https://doi.org/10.1007/BF02940770
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DOI: https://doi.org/10.1007/BF02940770