# 4 Integers whose Euler Phi Value is 10,368

## Theorem

$\map \phi {25 \, 930} = \map \phi {25 \, 935} = \map \phi {25 \, 940} = \map \phi {25 \, 942} = 10 \, 368 = 2^7 \times 3^4$

where $\phi$ denotes the Euler $\phi$ function.

## Proof

 $\displaystyle \map \phi {25 \, 930}$ $=$ $\displaystyle 10 \, 368$ $\phi$ of $25 \, 930$ $\displaystyle \map \phi {25 \, 935}$ $=$ $\displaystyle 10 \, 368$ $\phi$ of $25 \, 935$ $\displaystyle \map \phi {25 \, 940}$ $=$ $\displaystyle 10 \, 368$ $\phi$ of $25 \, 940$ $\displaystyle \map \phi {25 \, 942}$ $=$ $\displaystyle 10 \, 368$ $\phi$ of $25 \, 942$

$\blacksquare$

The significance of this result escapes the author of this page.