Shang Shan Chong

Catalan’s Conjecture was proven by Mihailescu in 2004. In this paper, I offer another simple proof. Firstly, the cyclotomic polynomial is explicitly constructed, which assumes fix prime exponents. Next the constraints are relaxed and another attempt is made, this time using elementary number theory not more complicated than Bezout’s Theorem and Fermat’s Little Theorem. The solution 3^2 − 2^3 = 1 is thus unique, and defends crucially upon the finiteness assumption, derivable from the Bertrand-Chebyshev theorem.