# Inspired by Calvin Lin

Number Theory Level 4

A primitive pythagorean triplet is a set of three positive integer $$\{ a, b, c \}$$ which are mutually prime and satisfy $$a^2 + b^2 = c^2$$.

How many such triplets exist such that $$1 \leq c \leq 100$$ and none of $$a, b, c$$ are prime?

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