Lower bounds for the solutions in the second case of Fermat’s last theorem
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- by Mao Hua Le PDF
- Proc. Amer. Math. Soc. 111 (1991), 921-923 Request permission
Abstract:
Let $p$ be an odd prime. In this paper, we prove that if $p \equiv 3$ and $x,y,z$ are integers satisfying ${x^p} + {y^p} = {z^p},p|xyz,0 < x < y < z$, then $y > {2^{ - 1/p}}{p^{6p - 2}}$ and $z - x > \tfrac {1}{2}{p^{6p - 3}}$.References
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Additional Information
- © Copyright 1991 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 111 (1991), 921-923
- MSC: Primary 11D41
- DOI: https://doi.org/10.1090/S0002-9939-1991-1049137-1
- MathSciNet review: 1049137