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3093. Cubes and progressions

Published online by Cambridge University Press:  03 November 2016

B. E. Lawrence
B. E. Lawrence*
Affiliation:
Ingatestone, Essex
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Abstract

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Type
Mathematical Notes
Information
The Mathematical Gazette , Volume 48 , Issue 363 , February 1964 , pp. 95 - 96
Copyright
Copyright © Mathematical Association 1964

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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 + ….