# It appears more than you think!

Algebra Level 5

Let $$p,q$$ and $$r$$ be the roots of the equation $$x^3 +3x = 2x^2+4$$, and denote $$S_n = p^n + q^n + r^n$$. Find the sum of all positive integers $$m$$ satisfying $$|S_m| =2$$.

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