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On the equation ϕ ( | x m - y m | ) = 2 n

Florian Luca (2000)

Mathematica Bohemica

In this paper we investigate the solutions of the equation in the title, where φ is the Euler function. We first show that it suffices to find the solutions of the above equation when m = 4 and x and y are coprime positive integers. For this last equation, we show that aside from a few small solutions, all the others are in a one-to-one correspondence with the Fermat primes.

Currently displaying 1961 – 1980 of 3028