Standard disclaimer: This really is a comment, but it's too long, so... My gut feeling is that the efficiency of catching duplicates has been going down. When I started here, the site was about a year old, and the old-timers could largely rely on memory in spotting duplicates (exact or abstract)...
Consider the following Diophantine equation in integer numbers and using the general binomial theorem, we have this equation: $$(x + y - z)^p = p(x + y)(z - x)(z - y)*N(p, x, y, z) + x^p + y^p - z^p$$ , that can be reduced to: $$(x + y - z)^p = p(x + y)(z - x)(z - y)*N(p, x, y, z)$$, considering ...
Without loss of generality, consider three positive distinct coprime integers $x <y <z$ and $$x^3 + y^3 = z^3$$, First consider the case where $3$ doesn’t divide $xyz$, then the simplest so elegant proof would be by using the general binomial theorem as the following: $$(x + y - z)^3 = 3(x + y)(...
math.stackexchange.com
…
« first day (1659 days earlier) ← previous day next day → last day (2835 days later) »