I put a message on usenet a few years back

http://groups.google.com.au/group/sci.math.num-analysis/browse_thread/thread/d3f192b37f229eb3/ec74e93bc38819c3?lnk=st&q=walker+prime+sums&rnum=2#ec74e93bc38819c3

with possible expansions for some prime sums, all unproven!

You should also check Henri Cohen's paper (a dvi file)

I linked to

http://www.math.u-bordeaux.fr/~cohen/hardylw.dvi

which has some evaluations, especially the last one!

Andrew

--- In primenumbers@yahoogroups.com, "Werner D. Sand"

<Theo.3.1415@...> wrote:>

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> Who can help me calculating up to 10 exact decimal places

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> sum (1/n^(1-1/n) - 1/n)

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> sum (1/p^(1-1/p) - 1/p)

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> sum (ln(n) / n^2)

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> sum (ln(p) / p^2)

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> n=positive integer, p=prime, each from 1(2) to infinity?

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> WDS

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