ঠাণ্ডা সমস্যা(cool problem)

For discussing Olympiad Level Number Theory problems
shehab ahmed
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Joined:Tue Mar 20, 2012 12:52 am
ঠাণ্ডা সমস্যা(cool problem)

Unread post by shehab ahmed » Sun Apr 15, 2012 11:24 am

Let $k>1$ be a fixed positive integer.Prove that there exists infinitely many positive integers $n$ such that
$n|1^n + 2^n + ..........+ k^n$
Last edited by *Mahi* on Sun Apr 15, 2012 1:12 pm, edited 1 time in total.
Reason: $LaTeXed$

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