perplexus.info :: Just Math : Summing

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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I agree

Comment 5 of 5 |

True.

It is known that the sum of the inverses of the squares of all integers converges absolutely.

Consequently, the proper part of the said sequence as constituted by the sum of the inverses of the squares of the primes MUST converge.

Posted by K Sengupta on 2007-05-16 13:18:58

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