Answer by Alexey Ustinov for About the exact origin of a binomial congruence
Dickson in his "History of the theory of numbers. Vol. I: Divisibility and primality." (see page 64) attributes this statement to Genty (Histoire et mem. de I'acad. roy. sc. insc. de Toulouse, 3, 1788...
View ArticleAbout the exact origin of a binomial congruence
Given a prime $p$ and an integer $0 \leq k \leq p-1$, a famous congruence on binomial coefficients states:$$\binom{p-1}{k} \equiv (-1)^k \pmod{p}$$It is generally taught as a consequence of Pascal’s...
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