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First Case of Fermat's Last Theorem

Joseph Amal Nathan
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Abstract

In this paper two conjectures are proposed based on which we can prove the first case of Fermat's Last Theorem(FLT) for all primes $p \equiv -1 (\bmod~6)$. With Pollaczek's result {\bf [1]} and the conjectures the first case of FLT can be proved for all primes greater than 3. With a computer Conjecture1 was verified to be true for primes $\leq 2437$ and Conjecture2 for primes $\leq 100003$.

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Joseph Amal Nathan. 2003-03-13. First Case of Fermat's Last Theorem. https://arxiv.org/abs/math/0303174

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