A Simple Number Theoretic Result

Abstract

We derive an interesting congruence relation motivated by an Indian Olympiad problem. We give three different proofs of the theorem and mention a few interesting related results.

5 pages

References in corpus (1)

• Bernoulli Numbers, Wolstenholme's Theorem, and p^5 Variations of Lucas' Theorem

Cited by in corpus (4)

• Lucas' theorem: its generalizations, extensions and applications (1878--2014)
• Binomial Symbols and Prime Moduli
• Periodic Sequences modulo $m$
• A characterization of a prime $p$ from the binomial coefficient $\left(\genfrac{}{}{0ex}{}{n}{p}\right)$