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Summing (Posted on 2004-04-16)

Consider the sum of the inverses of the squares of the primes; does it converge or diverge?

See The Solution Submitted by Federico Kereki

Rating: 3.8000 (5 votes)

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Solution

| Comment 2 of 5 |

Every series (1/n^r) (n=1,2,...) converges for r>1.

The sum of the inverses of the squares of primes would be less that (1/n^2) (n=1,2,.....)

Posted by Penny on 2004-04-16 13:55:52

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