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Название: First Case of Fermat's Last Theorem
Автор: 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  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.