Sum of alternating series of reciprocals of primes

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The sum of alternating series of reciprocals of primes is

∞ ∑   i   = 1    (−1) i  − 1 1 pi  .

where

pi

is the

i

-th prime.

Decimal expansion of sum of alternating series of reciprocals of primes

A078437: Decimal expansion of sum of alternating series of reciprocals of primes

∑ ∞ i   = 1 ( − 1) i  − 1 1 pi .

0.26960635197167...