Open AccessALGEBRAIC PROOFS FERMAT'S LAST THEOREM, BEAL'S CONJECTURE
Author(s) -
James E. Joseph
Publication year - 2016
Publication title -
journal of advances in mathematics
Language(s) - English
Resource type - Journals
ISSN - 2347-1921
DOI - 10.24297/jam.v12i9.130
Subject(s) - mathematics , fermat's last theorem , wieferich prime , regular prime , fermat's little theorem , mathematical proof , fermat number , prime number , proofs of fermat's little theorem , number theory , discrete mathematics , beal's conjecture , fermat's theorem on sums of two squares , algebraic number , prime (order theory) , conjecture , combinatorics , pure mathematics , brouwer fixed point theorem , compactness theorem , mathematical analysis , fixed point theorem , danskin's theorem , geometry
In this paper, the following statememt of Fermat's Last Theorem is proved. If x; y; z are positive integers, _ is an odd prime and z_ = x_ + y_; then x; y; z are all even. Also, in this paper, is proved Beal's conjecture; the equation z_ = x_ + y_ has no solution in relatively prime positive integers x; y; z; with _; _; _ primes at least 3: