%0 Journal Article
%T Frobenius numbers of Pythagorean triples
%A Byung Keon Gil
%A Ji-woo Han
%A Tae Hyun Kim
%A Ryun Han Koo
%A Bon Woo Lee
%A Jaehoon Lee
%A Kyeong Sik Nam
%A Hyeon Woo Park
%A Poo-Sung Park
%J Mathematics
%D 2014
%I arXiv
%X Given relatively prime integers $a_1, \dotsc, a_n$, the Frobenius number $g(a_1, \dotsc, a_n)$ is defined as the largest integer which cannot be expressed as $x_1 a_1 + \dotsb + x_n a_n$ with $x_i$ nonnegative integers. In this article, we give the Frobenius number of primitive Pythagorean triples. That is, \[ g(m^2-n^2, 2mn, m^2+n^2) = (m-1)(m^2-n^2) + (m-1)(2mn) - (m^2 + n^2). \]
%U http://arxiv.org/abs/1402.6440v1