# How fast will this become popular?

Suppose the probability that this problem will become popular half an hour after posting it is $$\dfrac{13682}{16807}$$. Assume that the probability this problem will become popular at any given time within this half hour remains the same. Then, the probability that this problem will become popular 6 minutes after posting it equals $$\dfrac{a}{b}$$, where $$a, b$$ are relatively prime positive integers. Find $$a + b$$.

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