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Smith Numbers

by Underwood Dudley (DePauw University)

This article originally appeared in:
Mathematics Magazine
February, 1994

Subject classification(s): Integers | Number Theory | Algebra and Number Theory
Applicable Course(s): 4.3 Number Theory | 3.7 Discrete Math

A Smith number is a composite number the sum of whose digits is the sum of all the digits of all its prime factors. The author reviews the history of these numbers, starting with the proof that there are infinitely many and eventually considering generalizations.

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Capsule Course Topic(s):
Number Theory | Numbers With Special Forms or Properties
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