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Can we prove that it is never a square?

• To: mathgroup at smc.vnet.net
• Subject: [mg68304] Can we prove that it is never a square?
• From: Kent Holing <KHO at statoil.com>
• Date: Tue, 1 Aug 2006 06:59:19 -0400 (EDT)
• Sender: owner-wri-mathgroup at wolfram.com

Can we using Mathematica establish that
n^12-10n^10+39n^8+60n^6+39n^4+14n^2+1 is never a square
for n > 1 integer?
Kent Holing
NORWAY