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?

Submitted by Federico Kereki

Rating: 3.8000 (5 votes)

Solution: (Hide)

It converges, because it's a proper part of the sum of the inverses of the squares of all integers, which converges absolutely.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
I agree	K Sengupta	2007-05-16 13:18:58
Comment on official solution	Nick Hobson	2004-04-27 16:15:47
re: Solution	Penny	2004-04-16 13:59:46
Solution	Penny	2004-04-16 13:55:52
The sum	Oskar	2004-04-16 13:46:40

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