Formulae for the Frobenius number in three variables

TextFor positive integers a, b, c that are coprime, the Frobenius number of a, b, c  , denoted by g(a,b,c)g(a,b,c), is the largest integer that is not expressible by the form ax+by+czax+by+cz with x, y, z nonnegative integers. We give exact   formulae for g(a,b,c)g(a,b,c) that covers all cases of a, b, c.VideoFor a video summary of this paper, please visit https://youtu.be/dv0GSy2MGzw.