First Case of Fermat’s Last Theorem

Nathan J.A.

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 ◄ −1(mod 6). With Pollaczek’s result [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 ¶ 2437 and Conjecture2 for primes ¶ less than 100003.