Posted by **Diamond** on Friday, April 2, 2010 at 12:44pm.

Show that there are no positive integers n for which n4 + 2n3 + 2n2 + 2n + 1 is a perfect square. Are there any positive integers n for which n4 +n3 +n2 +n+1 is a perfect square?

If so, find all such n.

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