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2008 PUMaC Number Theory A4 / B6

Source:

October 4, 2019

number theory

Problem Statement

f(n)

is the sum of all integers less than

n

and relatively prime to

n

. Find all integers

n

such that there exist integers

k

and

\ell

such that

f(n^k) = n^{\ell}

.

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