Re: math -- the product, n from k to infinity, of (1 - (1/p_n))
- From: "G. A. Edgar" <edgar@xxxxxxxxxxxxxxxxxxxxxxxxxxx>
- Date: Fri, 14 Mar 2008 05:27:45 -0400
In article <c0dkt3heuo6t615b4qa2gok3ot49mciu3l@xxxxxxx>, quasi
<quasi@xxxxxxxx> wrote:
Let p_n denote the n'th prime.
For each positive integer k, let
x_k = the product, n from k to infinity, of (1 - (1/p_n))
x_k = 0 for all k, right?
It's easy to find a decreasing sequence of rationals which converges
to x_k from above, namely the sequence of partial products.
Is there an easily computed increasing sequence of rationals which
converges to x_k from below?
quasi
--
G. A. Edgar http://www.math.ohio-state.edu/~edgar/
.
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