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An Extension of Fermat's Theorem

Published online by Cambridge University Press:  20 November 2018

Chinthayamma  and
J. M. Gandhi
Chinthayamma
Affiliation:
University of Alberta, Edmonton
J. M. Gandhi
Affiliation:
University of Alberta, Edmonton
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In [1[ Trypanis has proved the following extension of Fermat's theorem: If a is any integer, paprime, , then

1

This result is to be understood in the sense that a(p-1)/pn-1=p1/pnα where α is an algebraic integer.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 10 , Issue 3 , August 1967 , pp. 383 - 386
Copyright
Copyright © Canadian Mathematical Society 1967

References

1. Trypanis, A. A., An extension of Fermat's Theorem. Am. Math. Monthly, 57 (1955), 87-89.Google Scholar
2. Carlitz, L., An extension of the Fermát theorem. Am. Math. Monthly 70 (1966), 247-250.Google Scholar
3. Hausner, A., Note on “An Extension of Fermat's Theorem”. Am. Math. Monthly 70 (1966), 293-294.Google Scholar