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Rational points on the superelliptic Erdös Selfridge curve of fifth degree
Published online by Cambridge University Press: 26 February 2010
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§1. Introduction, By a remarkable result of Erdos and Selfridge [3] in 1975. the diophantine equation
with integers k≥2 and m≥2, has only the trivial solutions. x = −j(j = i, …, m), y = 0. This put an end to the old question whether the product of consecutive positive integers could ever be a perfect power; for a brief account of its history see [7].
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- Copyright © University College London 2003
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