# Representing an Integer by a Sum of Like Powers

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Many powers can be expressed as a sum of like powers, for example, or . Euler conjectured that no fifth power was the sum of four distinct fifth powers, but he was wrong: . Euler also conjectured that no fourth power was the sum of three distinct fourth powers, but he was wrong again: .

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Contributed by: Ed Pegg Jr (August 2022)

Open content licensed under CC BY-NC-SA

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