## Displaying similar documents to “A generalization of a result of Fermat.”

### On the basic character of residue classes.

Publicacions Matemàtiques

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Let t, b be mutually prime positive integers. We say that the residue class t mod b is basic if there exists n such that t ≡ -1 mod b; otherwise t is not basic. In this paper we relate the basic character of t mod b to the quadratic character of t modulo the prime factors of b. If all prime factors p of b satisfy p ≡ 3 mod 4, then t is basic mod b if t is a quadratic non-residue mod p for all such p; and t is not basic mod b if t is a quadratic residue mod p for all such p. If, for all...

Integers

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Acta Arithmetica

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Integers

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Integers

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### Note on a certain sums of integer parts

Mathematica Slovaca

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### A new formulation of the law of octic reciprocity for primes =+-3 (mod 8) and its consequences.

International Journal of Mathematics and Mathematical Sciences

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Acta Arithmetica

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### Note on the congruences ${2}^{p-1}\equiv 1\phantom{\rule{4.44443pt}{0ex}}\left(mod\phantom{\rule{0.277778em}{0ex}}{p}^{2}\right)$, ${3}^{p-1}\equiv 1\phantom{\rule{4.44443pt}{0ex}}\left(mod\phantom{\rule{0.277778em}{0ex}}{p}^{2}\right)$, ${5}^{p-1}\equiv 1\phantom{\rule{4.44443pt}{0ex}}\left(mod\phantom{\rule{0.277778em}{0ex}}{p}^{2}\right)$

Acta Mathematica et Informatica Universitatis Ostraviensis

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