Primes reciprocated

Find the sum of all primes PP such that the decimal expansion of 1P\frac{1}{P} has a fundamental period 55.

Details and Assumptions:

  • As an explicit example, 13=0.33333\frac{1}{3}=0.33333\ldots has fundamental period 11 and 1101=0.00990099\frac{1}{101}=0.00990099\ldots has fundamental period 44.
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