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Generating Nonpowers by Formula

by A. J. Dos Reis (SUNY New Paltz) and D. M. Silberger (SUNY New Paltz)

This article originally appeared in:
Mathematics Magazine
February, 1990

Subject classification(s): Real Analysis | Analysis | Functions | Single Variable Calculus | Calculus
Applicable Course(s): 4.11 Advanced Calc I, II, & Real Analysis | 3.2 Mainstream Calculus II

For each \(n>1\), the authors find a closed formula to generate a subsequence of positive integers that is the complement of the sequence of perfect \(n\)th powers.

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