I've found an exercice that I've no clue to do it, I expose it to you
Let suppose we have a family of $1789$ integers which sum is equal to zero. Show that the sum of their $37$th power is a multiple of $399$.
Any hint or solution ?
I've found an exercice that I've no clue to do it, I expose it to you
Let suppose we have a family of $1789$ integers which sum is equal to zero. Show that the sum of their $37$th power is a multiple of $399$.
Any hint or solution ?
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