Abstract
In this paper on FLT, one solves the case n=3 in elementary way, extensible to n odd. The author works only through the sole factorization in factors and with the proceeding for absurd, that is if x, y, z are prime among them, under the hypothesis that (x, y, z) are a solution, one obtains that the first and the second term of an equivalent relation are odd (the first) and even (the second).
Highlights
Is the Theorem of Pierre de Fermat and Andrew Wiles for n=3: The equation x3 y3 z3
Every factor of k must divide y3, every factor of k will be a power of exponent 3, otherwise it should divide 3x2, that is x or 3, against the hypothesis; so k will be in the form of k=u3 and that is v3=3x2 +3xk=k2
We observe that v is always odd because x and z cannot be even at the same time
Summary
Is the Theorem of Pierre de Fermat and Andrew Wiles for n=3: The equation x3 y3 z3. We observe that v is always odd because x and z cannot be even at the same time. By the relation (2) , working out the term we obtain that
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