Pi hiding in prime regularities

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Summary

A beautiful derivation of a formula for pi. At first, 1-1/3+1/5-1/7+1/9- ... seems unrelated to circles, but in fact there is a circle hiding here, as well as some interesting facts about prime num...

A beautiful derivation of a formula for pi. At first, 1-1/3+1/5-1/7+1/9- ... seems unrelated to circles, but in fact there is a circle hiding here, as well as some interesting facts about prime numbers in the context of complex numbers.

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