Home » Uncategorized » Eulerian equality

Eulerian equality

We know that there are infinite Pythagorian triplets, that is numbers such that

(1)

Let us investigate if there exist triplets such that

(2)

where denotes the Euler’s totient function.

Solution

Indeed, there are infinite triplets such that is satisfied. For example noticing that

we deduce that for each natural such that we have

Who is Tolaso?

Find out more at his Encyclopedia Page.