SOLUTION: f(n) = n^5 - n , n = N , then f(n) is divisible by

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Question 1089031: f(n) = n^5 - n , n = N , then f(n) is divisible by
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
f%28n%29=n%5E5-n
f%28n%29=n%28n%5E4-1%29
f%28n%29=n%28n%5E2-1%29%28n%5E2%2B1%29
f%28n%29=n%28n%2B1%29%28n-1%29%28n%5E2%2B1%29
So when n=N,
f%28N%29=N%28N%2B1%29%28N-1%29%28N%5E2%2B1%29
Then f%28N%29 is divisible by,
N,N%2B1,N-1, and N%5E2%2B1.