Euler Phi Function of n equal to Euler Phi Function of n+3

Theorem
Let $\phi$ denote the Euler $\phi$ function.

The only solutions to the equation:
 * $\phi \left({n}\right) = \phi \left({n + 3}\right)$

less than $1 \, 000 \, 000$ are:


 * $\phi \left({3}\right) = \phi \left({6}\right) = 2$
 * $\phi \left({5}\right) = \phi \left({8}\right) = 4$