the smallest natural number that cannot be described by an English sentence of up to one thousand letters
Such a number cannot exist – if we take the sentence above as a legitimate description of the number – as the sentence above both describes the number that cannot be described in less than one thousand letters and yet takes quite a lot less than one thousand letters to do it.
Stolen from P, NP, and NP-Completeness: The Basics of Computational Complexity
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