most citedThe Search for Maximal Values of min(A,B,C) / gcd(A,B,C) for A^x + B^y = C^z

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math.NT2010★ 1 cited

The Search for Maximal Values of min(A,B,C) / gcd(A,B,C) for A^x + B^y = C^z

Arthur R. Townsend

This paper answers a question asked by Ed Pegg Jr. in 2001: "What is the maximal value of min(A,B,C)/ gcd(A,B,C) for A^x + B^y = C^z with A,B,C >= 1; x,y,z >= 3?" Equations of this…