> Can someone tell me if the following function is convergent and if so

this sum is convergent, but I can't invent how to calculate it. As for error term, I think, if you take first k terms of the sum instead of infinity, the error will be about 1/log(k).

> what it is convergent to with some degree of precision and an error

> term?

>

> For {n=[1->oo], P=primes[2->oo]} sum{n/Pn^2}

Best wishes,

Andrey

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