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  • Mathematical Gazette

Improved Bounds on the Sizes of S.P Numbers

By: Paul Myer Kominers and Scott Duke Kominers
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  • | Pages:3
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Abstract

A number which is S.P in base r is a positive integer which is equal to the sum of its base-r digits multiplied by the product of its base-r digits. These numbers have been studied extensively in The Mathematical Gazette. Recently, Shah Ali obtained the first effective bound on the sizes of S.P numbers. Modifying Shah Ali's method, we obtain an improved bound on the number of digits in a base-r S.P number. Our bound is the first sharp bound found for the case r=2.

Keywords

Mathematical Methods

Citation

Kominers, Paul Myer, and Scott Duke Kominers. "Improved Bounds on the Sizes of S.P Numbers." Mathematical Gazette 94, no. 529 (March 2010): 127–129.
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About The Author

Scott Duke Kominers

Entrepreneurial Management
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