wrote:>

Easily. Show that for some positive constant C, we have:

> sum(1/n - 1/p(n)), n->inf, seems to diverge. But how to prove?

>

1/n - 1/p(n) >= C/n

Then your sum exceeds the infinite sum of C/n, which diverges

for any positive C.

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wrote:>

Easily. Show that for some positive constant C, we have:

> sum(1/n - 1/p(n)), n->inf, seems to diverge. But how to prove?

>

1/n - 1/p(n) >= C/n

Then your sum exceeds the infinite sum of C/n, which diverges

for any positive C.