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You are not logged in. #1 20120423 09:51:59
New Formulation for Fermat's Last Theorem Polynomials.I am writing a paper on this subject as I have developed Sums of Power for arithmetic progression. Setting n=2, the generalized equation reduces to polynomials of stepping down 2nd power. It looks like Kummer's cyclotomic expression but a slightly different form. This form had been used by Euler for p=3 and Sophie Germain for p=5, they got it by substitution of variables, it was not known during their time that there is a generalized equation that can describe the same form for any p. Therefore: For odd p For even p Where: and Some of the equations: p=2 p=3 p=4 p=5 Maybe it could offer an alternative proof for Fermat's Last Theorem. I had tried rational root theorem and substitution of solution of these forms: or Still got stumbled upon few steps. Maybe Galois theory might be used to explain why can never be rational in the form of root w and variable s. Last edited by Stangerzv (20120423 09:58:59) 