# Even a set can be honest, why not you?

Calvin calls a set of any five consecutive positive integers (each less than 100) as honest if their product is not divisible by 840.

If the probability that a given set of any five consecutive positive integers (each less than 100) is honest can be expressed as $$\frac{a}{b}$$, where $$a$$ and $$b$$ are coprime positive integers, then find the value of $$a+b$$.

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