# Pythagorean Palindrome

Algebra Level 4

Consider integers $$a$$ and $$P$$ that satisfy the equations

$\begin{cases} (4a+5)^2 = a^2 + [4(a+1)]^2 \\ P =(271a)^2 + [1084(a+1)]^2\\ \end{cases}$

Find sum of all value(s) of $$P$$.

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