Talk:Gelfond–Schneider theorem

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Mathematics rating:	Start Class	Mid Priority	Field: Number theory
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A question .... do there exsist transcendental numbers that are not of the form a^b (with a real, b not both real and rational)? In other words, does tehconverse of the theorum hold? I feel the answer to this should be included in the main article - though I apreciate that it may currently be an open question. Tompw 14:15, 23 February 2006 (UTC)

There must be, since there are only countably many numbers of the a^b with a and b algebraic, but there are uncountably many transcendental numbers. Ben Standeven 21:37, 10 April 2007 (UTC)