Go Factor!
Number Theory
Level
5
\[\large 399\:337 = 616^2 + 141^2 \\ \large 399\:337 = 464^2 + 429^2\] The number \(399\:337\) is the product of two prime numbers \(p\times q\). Determine these prime numbers without using a calculator.
Submit your answer as the sum \(p + q\).
by
Arjen Vreugdenhil