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Problem of the Week 1057

Very Big Numbers

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Write 20 as a sum of finitely many positive integers a + b + c + d + ... so that a^(b^(c^(d^ ...))) is as large as possible.

Extra Credit: Solve this with 20 replaced by an arbitrary integer.

© Copyright 2006 Stan Wagon. Reproduced with permission.

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8 May 2006