Hostname: page-component-78c5997874-v9fdk Total loading time: 0 Render date: 2024-11-15T05:54:28.958Z Has data issue: false hasContentIssue false
  • English
  • Français

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
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

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