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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.

A342547 Addends k > 0 such that the polynomial x^3 + k produces a record of its Hardy-Littlewood constant.

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%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