This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A136271 #28 Jul 15 2025 08:14:14
%S A136271 4,9,3,0,9,1,1,0,9,3,6,8,7,6,4,4,6,2,1,9,7,8,2,6,2,0,5,0,5,6,4,9,1,2,
%T A136271 5,8,0,5,5,5,8,8,1,2,6,3,4,6,4,6,8,2,9,0,7,1,3,3,2,7,1,2,0,3,2,1,3,3,
%U A136271 6,7,7,3,6,7,9,5,7,8,5,2,0,3,5,5,0,7,6,0,0,4,2,1,8,1,6,9,3,1,1,2,4,2,4,6
%N A136271 Decimal expansion of sum log(p)/p^2 over the primes p=2,3,5,7,11,...
%C A136271 The negative first derivative of the prime zeta function at 2.
%D A136271 Henri Cohen, Number Theory, Volume II: Analytic and Modern Tools, GTM Vol. 240, Springer, 2007; see pp. 208-209.
%H A136271 Henri Cohen, <a href="http://www.math.u-bordeaux.fr/~cohen/hardylw.dvi">High-precision computation of Hardy-Littlewood constants</a>, preprint 1998.
%H A136271 Henri Cohen, <a href="/A221712/a221712.pdf">High-precision computation of Hardy-Littlewood constants</a>. [pdf copy, with permission]
%H A136271 Tengiz O. Gogoberidze, <a href="https://arxiv.org/abs/2407.12047">Baker's dozen digits of two sums involving reciprocal products of an integer and its greatest prime factor</a>, arXiv:2407.12047 [math.GM], 2024. See p. 2.
%H A136271 R. J. Mathar, <a href="http://arxiv.org/abs/0803.0900">Series of reciprocal powers of k-almost primes</a>, arXiv:0803.0900 [math.NT], Table 3.
%H A136271 J. B. Rosser, L. Schoenfeld, <a href="https://projecteuclid.org/euclid.ijm/1255631807">Approximate formulas for some functions of prime numbers</a>, Ill. J. Math. 6 (1) (1962) 64-94, Table IV
%F A136271 Equals Sum_{n >= 1} log(A000040(n))/A001248(n).
%e A136271 0.493091109368764462197826205056491258055588126346468290713327120321336...
%t A136271 RealDigits[PrimeZetaP'[2], 10, 104] // First (* _Jean-François Alcover_, Sep 11 2015 *)
%Y A136271 Cf. A303493-A303499, A360094, A360095.
%K A136271 cons,nonn
%O A136271 0,1
%A A136271 _R. J. Mathar_, Mar 09 2008
%E A136271 Removed 6 digits where preprints disagree. Added zero to an A-number in formula. Corrected Cohen preprint year. Added 2nd link. - _R. J. Mathar_, Nov 27 2008
%E A136271 More digits from _Jean-François Alcover_, Sep 11 2015