Euler's Totient Dilemma
Number Theory
Level
4
Let \(\phi(n)\) denote Euler's Totient Function. If the greatest common divisor of the positive integers \(m\) and \(n\) is 7, and \(\phi(mn) = 5544,\) find the least possible value of \(\left|\phi(m)-\phi(n)\right|\).
by
Eli Ross