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A354952
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Decimal expansion of Sum_{p primes} 1/(p*log(p) - 1).
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5
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3, 6, 6, 3, 5, 0, 4, 5, 8, 5, 4, 6, 5, 6, 0, 3, 3, 0, 1, 6, 0, 2, 8, 2, 5, 2, 4, 4, 8, 0, 8, 2, 1, 2, 3, 3, 3, 2, 0, 9, 3, 4, 4, 5, 2, 2, 5, 6, 4, 3, 7, 3, 9, 9, 4
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OFFSET
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1,1
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LINKS
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FORMULA
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Equals Sum_{k>=1} (Sum_{p primes} 1/(p*log(p))^k).
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EXAMPLE
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3.663504585465603301602825244808212333209344522564373994...
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PROG
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(PARI) prec = 60; tot = 0; dif = 10^(-prec); for(s=1, 200, default(realprecision, 200 + 6*s); su = 0; d = 0; k = 0; while(abs(d)>dif || exponent(d)==-oo, k=k+1; d = moebius(k) / ((s-1)! * k^(s+1)) * intnum(x=s*k, [[1], 1], (x-s*k)^(s-1) * log(zeta(x))); su = su + d; ); tot = tot + su; print(tot); ); \\ It takes several hours.
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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