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- W4313247131 abstract "Fermat’s Last Theorem states that it is impossible to find positive integers A, B and C satisfying the equation: An + Bn = Cn where n is any integer > 2. Taking the proofs of Fermat for the index n = 4, and Euler for n = 3, it is sufficient to prove the theorem for n = p, any prime > 3 [1]. We hypothesize that all r, s and t are non-zero integers in the equation: rp + sp = tp and establish contradiction. Just for supporting the proof in the above equation, we have another equation: x3 + y3 = z3 Without loss of generality, we assert that both x and y as non-zero integers; z3 a non-zero integer; z and z2 irrational. We create transformed equations to the above two equations through parameters, into which we have incorporated a Ramanujan-Nagell equation. Solving the transformed equations, we prove the theorem." @default.
- W4313247131 created "2023-01-06" @default.
- W4313247131 creator A5017334002 @default.
- W4313247131 date "2022-12-23" @default.
- W4313247131 modified "2023-09-25" @default.
- W4313247131 title "Direct Proof for Fermat's Last Theorem using Ramanujan-Nagell Equation" @default.
- W4313247131 doi "https://doi.org/10.24018/ejmath.2022.3.6.176" @default.
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