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 A136682 #17 Feb 16 2025 08:33:07
%S A136682 2,3,5,8,23,41,47,48,49,95,125,203,209,284,323,395,504,553,655,781,
%T A136682 954,1022,1474,1797,1869,1923,1934,1968,2043,2678,3413,3439,4032,4142,
%U A136682 4540,4895,5018,5110,5194,5357,6591,11504,11949,14084,20365
%N A136682 Numbers k such that A119682(k) is prime.
%C A136682 A119682(k) = Numerator of Sum_{j=1..k} (-1)^(j+1)/j^2.
%H A136682 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/HarmonicNumber.html">Harmonic Number</a>
%t A136682 Do[ f=Numerator[ Sum[ (-1)^(k+1)*1/k^2, {k,1,n} ] ]; If[ PrimeQ[f], Print[ {n,f} ] ], {n,1,125} ]
%Y A136682 Cf. A058313, A119682, A120296, A136675, A136676, A136677.
%Y A136682 Cf. A001008, A007406, A007408, A007410, A099828, A103345.
%Y A136682 Cf. A136681, A136683, A136684, A136685, A136686.
%K A136682 nonn
%O A136682 1,1
%A A136682 _Alexander Adamchuk_, Jan 16 2008
%E A136682 a(12)-a(17) from _Alexander Adamchuk_, Apr 28 2008
%E A136682 a(18)-a(31) from _Amiram Eldar_, Mar 14 2019
%E A136682 a(32)-a(45) from _Robert Price_, Apr 14 2019