Fermat’s Congruence

  • Paulo Ribenboim


In this lecture, I will turn my attention to an analogue of Fermat’s theorem. Instead of the equation, it will be a question of a congruence. In addition to the intrinsic interest of this modified problem, I mentioned in my fourth lecture how Sophie Germain’s criterion for the first case involves Fermat’s congruence modulo some prime. Accordingly, I will begin by studying the Fermat equation over prime fields.


Nontrivial Solution Primitive Root Riemann Hypothesis Cyclotomic Field Cyclic Representation 
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Copyright information

© Springer-Verlag New York Inc. 1979

Authors and Affiliations

  • Paulo Ribenboim
    • 1
  1. 1.Department of Mathematics and StatisticsJeffery Hall Queen’s UniversityKingstonCanada

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