Problem with a limit.
- To: mathgroup at smc.vnet.net
- Subject: [mg66759] Problem with a limit.
- From: Roger Bagula <rlbagulatftn at yahoo.com>
- Date: Mon, 29 May 2006 06:05:51 -0400 (EDT)
- Sender: owner-wri-mathgroup at wolfram.com
This sum works really well: a = Sum[(PrimePi[k + 1] - PrimePi[k])/2^k, {k, 1, Infinity}] I got the idea to look at it from the other end as primes dominate the low end of the Integers: Limit[Sum[(PrimePi[k + 1] - PrimePi[k])/2^(n - k), {k, 1, n}], n -> Infinity] So I tried: Table[N[Limit[Sum[(PrimePi[ k + 1] - PrimePi[k])/2^(n - k), {k, 1, n}], n ->10^m], {m, 1, 10}] It's just an interesting problem in how the primes are distributed.
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- From: danl@wolfram.com
- Re: Problem with a limit.