A357331 Decimal expansion of sigma(N) / (exp(gamma) * N * log(log(N))) for N = 5040, where sigma = A000203 and gamma = A001620 is the Euler-Mascheroni constant.
1, 0, 0, 5, 5, 5, 8, 9, 8, 1, 4, 5, 6, 7, 2, 0, 1, 0, 3, 6, 4, 2, 4, 7, 0, 7, 6, 7, 7, 8, 1, 5, 5, 4, 4, 3, 1, 6, 9, 8, 4, 4, 3, 0, 1, 4, 6, 7, 4, 1, 5, 2, 7, 9, 7, 3, 6, 8, 0, 2, 5, 8, 3, 2, 2, 5, 7, 4, 6, 5, 9, 5, 4, 9, 5, 5, 8, 5, 2, 2, 7, 8, 7, 7, 1, 4, 6, 2, 3, 9
Offset: 1
Examples
sigma(5040) / (exp(gamma) * 5040 * log(log(5040))) = 1.00555898145672010364... > 1.
Links
- Eric Weisstein's World of Mathematics, Robin's Theorem.
- Wikipedia, Riemann hypothesis.
Programs
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Mathematica
RealDigits[DivisorSigma[-1, 5040] / (Exp[EulerGamma] * Log[Log[5040]]), 10, 120][[1]] (* Amiram Eldar, Jun 19 2023 *)
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PARI
sigma(5040) / (exp(Euler) * 5040 * log(log(5040)))
Formula
Equals 403 / (exp(gamma) * 105 * log(log(5040))).
Comments