# Binomial Coefficients modulo $$2017$$

Algebra Level 4

Given that $$\displaystyle \sum_{n = 0}^{62} {2014 \choose n} \pmod {2017}$$ can be written in the form $$a^2$$ where $$a$$ is a positive integer, find $$a$$.

$$2017$$ is prime.

This is from the AMC 12B given yesterday.

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