Number of solutions to a^x + b^y = c^z, A Shorter Version

2022/06/28 by Scott, Reese, Styer, Robert
#11D61 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2206.14067

Abstract

For relatively prime integers a and b both greater than one and odd integer c, there are at most two solutions in positive integers (x,y,z) to the equation a^x + b^y = c^z. There are an infinite number of (a,b,c) giving exactly two solutions.

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