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 A342547 #10 Apr 30 2021 10:59:09 %S A342547 2,3,17,74,165,205,2609,23602 %N A342547 Addends k > 0 such that the polynomial x^3 + k produces a record of its Hardy-Littlewood constant. %C A342547 For more information and references see A331950. %C A342547 Cubic polynomials with no quadratic terms have a poor yield in generating primes compared to quadratic polynomials. This can be seen when comparing the Hardy-Littlewood constants HL for quadratic polynomials of the form x^2 + k (k given in A003521) where HL(x^2 + 1) = 1.3728..., HL (x^2 + 7) = 1.9730..., ..., HL(x^2 + 991027) = 4.1237..., whereas the best known result for the present sequence, a(8) only leads to HL(x^3 + 23602) = 1.7167... %e A342547 n a(n) Hardy-Littlewood %e A342547 constant (rounded) %e A342547 1 2 1.298539558 %e A342547 2 3 1.390543939 %e A342547 3 17 1.442297580 %e A342547 4 74 1.451456320 %e A342547 5 165 1.589487813 %e A342547 6 205 1.637173422 %e A342547 7 2609 1.679828689 %e A342547 8 23602 1.716729673 %Y A342547 Cf. A003521 (records for x^2+k), A331950. %K A342547 nonn,hard,more %O A342547 1,1 %A A342547 _Hugo Pfoertner_, Apr 29 2021