*Binomial Coefficients have many remarkable arithmetic properties.
In this e-survey we introduce and explain some of what makes binomial
coefficients so fascinating. This e-survey is `dynamic' so that
it can be edited as soon as new developments occur: if you
know of something that you believe should be included please let
us know. *

- Introduction.
- Elementary Number Theory.
- Generalization of Lucas' Theorem.
- Congruences for sums of binomial coefficients.
- Computing binomial coefficients modulo prime powers.
- Recognizing the primes.
- Pascal's triangle via cellular automata.
- Studying binomial coefficients through their generating function.
- Bernoulli numbers and polynomials.
- Theorems of Morley and Emma Lehmer and their generalizations.
- Some useful p-adic numbers.
- Congruences modulo higher powers of primes.
- Concluding remarks.
- References.