perplexus.info :: Sequences : Prime real estate

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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very slowly indeed

| Comment 4 of 11 |

(In reply to re: None by Richard)

The recipricol of the 40th Mersenne prime is on the order of 10^-6320431, and as DJ said, the sum through all known primes is only about 4.

Edited on November 30, 2005, 11:54 pm

Posted by Eric on 2003-12-24 19:08:07

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