# Remainders Are Fun 5

Algebra Level 3

Evaluate:

$\left( \sum_{i = 1}^{2017} \sum_{p = 1}^{i} \sqrt{157^2 + 32(8p + 3)(p + 20)}\right) \ \bmod 1000 \ .$

For more problems like this, try answering this set .

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