Positive Integers which are Euler Phi Value for 17 Integers

Theorem

There are $17$ positive integers which have an Euler $\phi$ value of the following:

$72, 96, 120, \ldots$

Proof

From Numbers with Euler Phi Value of 72, it is seen that $17$ positive integers have an Euler $\phi$ value of $72$:

$73, 91, 95, 111, 117, 135, 146, 148, 152, 182, 190, 216, 222, 228, 234, 252, 270$

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Sources

• 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $72$