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 A078437 Decimal expansion of sum of alternating series of reciprocals of primes. 13
 2, 6, 9, 6, 0, 6, 3, 5, 1, 9, 7, 1, 6, 7 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 COMMENTS Verified and extended by Chris K. Caldwell and Jud McCranie. Next two terms are most likely 4 and 5. - Robert Price, Sep 13 2011 REFERENCES S. R. Finch, Mathematical Constants, Encyclopedia of Mathematics and its Applications, vol. 94, Cambridge University Press, pp. 94-98. LINKS Eric Weisstein's World of Mathematics, Prime Sums Eric Weisstein's World of Mathematics, Prime Zeta Function Wikipedia, Prime Zeta Function EXAMPLE 1/2 - 1/3 + 1/5 - 1/7 + 1/11 - 1/13 + ... = 0.26960635197167... MATHEMATICA s = NSum[ p=Prime[k//Round]; (-1)^k/p, {k, 1, Infinity}, WorkingPrecision -> 30, NSumTerms -> 5*10^7, Method -> "AlternatingSigns"]; RealDigits[s, 10, 14] // First (* Jean-François Alcover, Sep 02 2015 *) CROSSREFS Cf. A242301, A242302, A242303, A242304. Sequence in context: A021375 A190407 A057052 * A235997 A155678 A134946 Adjacent sequences:  A078434 A078435 A078436 * A078438 A078439 A078440 KEYWORD cons,hard,more,nonn AUTHOR G. L. Honaker, Jr., Dec 31 2002 EXTENSIONS Values of a(11)-a(14) = 7,1,6,7 from Robert Price, Sep 13 2011 STATUS approved

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Last modified August 19 19:25 EDT 2017. Contains 290821 sequences.