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On the Diophantine equation x2 + 2 = yn

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Abstract.

We give an elementary proof of the fact that the only solutions of the Diophantine equation x 2 + 2 = y n for n > 1 are (x, y, n) = (± 5, 3, 3).

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Authors and Affiliations

  1. Stat-Math Division, Indian Statistical Institute, 8th Mile, Mysore Road, R.V. College, P.O., Bangalore, 560 059, India, , , , , , IN

    B. Sury

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  1. B. Sury
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Received: 4.1.1999

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Sury, B. On the Diophantine equation x2 + 2 = yn. Arch. Math. 74, 350–355 (2000). https://doi.org/10.1007/s000130050454

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  • DOI: https://doi.org/10.1007/s000130050454

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