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%I #15 Sep 28 2021 17:25:49
%S 6,5,6,9,5,4,1,4,5,1,9,3,5,8,3,6,0,4,4,4,1,7,6,0,6,2,5,6,3,7,5,6,4,4,
%T 2,7,7,4,6,3,6,5,1,8,7,0,9,4,1,1,1,5,3,9,2,0,7,7,7,4,3,4,2,2,5,2,2,2,
%U 6,3,5,8,5,7,1,3,3,0,1,5,0,7,8,6,9,5,5,5
%N Decimal expansion of -(Pi/8 + EulerGamma/4 + log(8*Pi)/4 - 2).
%C Conjecture: Equals -(1/Pi)*Integral_{t=0..Infinity} log(|Zeta(1/2 + i*t)/Zeta(1/2)|) *(1/t^2) dt. The Riemann hypothesis is equivalent to this conjecture.
%H Milin, <a href="https://mathoverflow.net/q/279936">Answer to: Collection of equivalent forms of Riemann Hypothesis</a>, version: 2019-07-18, MathOverflow.
%e Equals 0.656954145193583604441760625637564427746365187094111539207774...
%p Digits := 120: -(Pi/8 + gamma/4 + log(8*Pi)/4 - 2)*10^88:
%p ListTools:-Reverse(convert(floor(%), base, 10));
%t RealDigits[-(Pi/8+EulerGamma/4+Log[8*Pi]/4-2),10,120][[1]] (* _Harvey P. Dale_, Sep 28 2021 *)
%o (PARI) -(Pi/8 + Euler/4 + log(8*Pi)/4 - 2) \\ _Michel Marcus_, Jun 12 2020
%K nonn,cons
%O 0,1
%A _Peter Luschny_, Jun 11 2020