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- W3200410945 abstract "Fermat’s Last Theorem states that it is impossible to find natural numbers A, B and Csatisfying the equationAn + Bn = Cnwhere n is any integer > 2.Taking the proofs of Fermat for the index n = 4, and Euler for n = 3, it is sufficient toprove the theorem for n = p, any prime > 3 [1].We hypothesis that all r, s and t are non-zero integers in the equationrp + sp = tpand establish contradiction, and assert that r is a non-zero integer.Just for supporting the proof in the above equation, we have another equationx3 + y3 = z3Without loss of generality, we assert that both x and y as non-zero integers; z3 a non-zero integer; z and z2 irrational.By trial and error method, we create the transformed equations to the above two equations, solving by which we prove the the theorem." @default.
- W3200410945 created "2021-09-27" @default.
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- W3200410945 date "2021-09-16" @default.
- W3200410945 modified "2023-09-28" @default.
- W3200410945 title "An Elementary Proof for Fermat’s Last Theorem using Ramanujan–Nagell Equation (Final Version)" @default.
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