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:
 * $\map \phi n = \map \phi {n + 3}$

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


 * $\map \phi 3 = \map \phi 6 = 2$
 * $\map \phi 5 = \map \phi 8 = 4$