I believe this is a problem from an International Mathematical Olympiad. [Don't know the year].
p≥5 is a prime number.
Show that
⌊2p/3⌋∑k=1(pk) is divisible by p2.
[Solution]
p≥5 is a prime number.
Show that
⌊2p/3⌋∑k=1(pk) is divisible by p2.
[Solution]
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