[seqfan] Question about limit of 1/(k*Pi(k))

Bob Selcoe rselcoe at entouchonline.net
Thu Jan 8 17:10:49 CET 2015


Hello Seqfans,

Is the following true, and if so, a known property?

Where Pi(k) is the k-th prime and k = 1..inf:

Sum_(1/(k*Pi(k))) = 1

i.e., 1/2 + 1/6 + 1/15 + 1/28 + 1/55... 

Thanks,
Bob Selcoe



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