Some principles of elementary number theory

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Date

2024-06-24

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Mohamed Boudiaf University of M’sila, Faculty of Mathematics and Informatics, Departement of Mathematics

Abstract

The aim of this work is to retrace the history of these theorems, namely the principles mentioned in this memoir, in the the field of number theory, and to show that they have numerous and varied applications, which allows them to be called principles. To better demonstrate the importance of these theorems, we include some applications of each principle.

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Keywords

Principle of well-ordering, Principle of induction, Pigeonhole lemma, Principle of inclusion-exclusion, Fermat’s Theorem, Wilson theorem

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