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Search: id:A086239
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| A086239 |
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Decimal expansion of value to which Sum[c[k]/Prime[k],{k,2,Infinity}] converges, where c[k]=-1 if Mod[p,4]==1 and c[k]=+1 if Mod[p,4]==3. |
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+0
1
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OFFSET
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0,1
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COMMENT
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This is sum_{p prime, p>=3} -(-4/p)/p where (-4/.) is the Legendre symbol, and is equal to - L(1,(-4/.)) plus an absolutely convergent sum (and therefore converges).
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REFERENCES
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Steven R. Finch, Mathematical Constants, Encyclopedia of Mathematics and its Applications, vol. 94, Cambridge University Press, pp. 94-98
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LINKS
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Eric Weisstein's World of Mathematics, Prime Sums
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EXAMPLE
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0.3349813253...
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CROSSREFS
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Sequence in context: A019466 A111573 A049854 this_sequence A016605 A060372 A128036
Adjacent sequences: A086236 A086237 A086238 this_sequence A086240 A086241 A086242
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KEYWORD
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nonn,cons,hard,more
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AUTHOR
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Eric Weisstein (eric(AT)weisstein.com), Jul 13, 2003
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EXTENSIONS
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Edited by njas, Jun 10 2008
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