# Wieferich Primes and Period Length for the Expansion of Fractions

by Gene Garza (University of Montevallo) and Jeff Young (University of Montevallo)

This article originally appeared in:
Mathematics Magazine
October, 2004

Subject classification(s): Algebra and Number Theory | Number Theory | Numbers and Computation | Number Concepts | Rational Numbers
Applicable Course(s): 4.3 Number Theory

The authors consider expansions of rationals to any base $b$, with special attention to inverses of Wieferich primes.

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Capsule Course Topic(s):
Number Theory | Numbers With Special Forms or Properties, Base Representation and Decimal Expansion