Key points are not available for this paper at this time.
Around 1637, Pierre de Fermat famously scribbled, and claimed to have a proof for, his statement that equation a^n + b^n = c^n has no positive integer solutions for exponents n>2. The theorem stood unproven for centuries until Andrew Wiles' groundbreaking work in 1994, with a notable caveat: Wiles' proof, while successful, relied on modern tools far beyond Fermat's claimed approach in terms of complexity. The present work potentially offers a solution which is closer in spirit to Fermat's original idea. The same tools designed to this effect are then used to prove the Beal conjecture, a well-known generalization of Fermat's Last Theorem.
Frank Vega (Thu,) studied this question.