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Problem #258

A slow converging serie
 Public ★(x10) 09/27/15 by Philippe_57721 12xp Math 100.0%

P is the set of prime numbers

Let S = $\sum_{p \in P} \frac {1}{1+p^2} = 0.3890595553 \dots$

Find the value of S with a precision of 50 digits after the decimal point (truncated not rounded).

[My timing: 15 sec]

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