# Seperable Integers

Number Theory Level 4

An integer is said to be two-separable if it can be represented as the product of two positive integers that differ by two. (For example, since $$8=2\cdot 4$$, $$8$$ is two-separable.) Similarly, an integer is said to be nine-separable if it can be represented as the product of two positive integers that differ by $$9$$. What is the sum of all positive integers that are both two-separable and nine-separable?

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