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3093. Cubes and progressions
Published online by Cambridge University Press: 03 November 2016
Abstract
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- Mathematical Notes
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- Copyright © Mathematical Association 1964
References
page 96 note * When (2n2 − 1) is a prime of the form (2k — 1) this expression is a ‘perfect number’. Thus the perfect numbers 28, 496, 8128, …are all partial sums of the series 13 + 33 + 53 + 73 + …or its equivalent 1 + 5 + 9 + 13 + ….