# Primes reciprocated

Find the sum of all primes $$P$$ such that the decimal expansion of $$\frac{1}{P}$$ has a fundamental period $$5$$.

Details and Assumptions:

• As an explicit example, $$\frac{1}{3}=0.33333\ldots$$ has fundamental period $$1$$ and $$\frac{1}{101}=0.00990099\ldots$$ has a fundamental period $$4$$.
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