Consecutive Integers with Same Euler Phi Value/Examples/1

Example of Consecutive Integers with Same Euler Phi Value

Let $\phi: \Z_{>0} \to \Z_{>0}$ denote the Euler $\phi$ function: the number of strictly positive integers less than or equal to $n$ which are prime to $n$.

Then:

$\map \phi 1 = \map \phi 2 = 1$

Proof

From Euler Phi Function of 1:

$\map \phi 1 = 1$

From Euler Phi Function of Prime:

$\map \phi 2 = 2 - 1 = 1$

Hence the result.

$\blacksquare$