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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.
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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