Recently, I came across a post on MO that asked for complicated proofs of trivial statements. The highest voted answer was :

Theorem: is irrational for .

Proof: Assume the contrary, say . Then, contradicting Fermat’s Last Theorem.

Remark: Unfortunately, FLT can’t prove the irrationality of !

Tailpiece: I recently made a (just working) webpage on my institute website. Here is its link.

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December 18, 2010 at 21:58

Ashish K PandeyWow! nice proof. never thought about it.

December 20, 2010 at 13:37

abhishekparab🙂