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Prime real estate (Posted on 2003-12-24)

What is the sum of the reciprocals of all prime numbers? (i.e. 1/2 + 1/3 + 1/5 + 1/7...)

See The Solution Submitted by Eric

Rating: 2.8750 (8 votes)

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There is no solution; it is a diverging series. The sum of the reciprocals of all the known primes only adds up to about 4, but the complete series adds up to an infinite number.

I'll leave the proof up to someone else...

Posted by DJ on 2003-12-24 13:28:45

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