Kummer's Congruence
Kummer's Congruence is a mathematical result that relates to the distribution of prime numbers and their powers. Specifically, it provides a way to understand the behavior of binomial coefficients modulo a prime. This congruence helps in determining how many times a prime divides the factorial of a number, which is essential in number theory.
The theorem is named after the mathematician Heinrich Kummer, who explored these relationships in the 19th century. Kummer's Congruence is particularly useful in the study of p-adic numbers and has implications in various areas of mathematics, including combinatorics and algebraic number theory.