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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.

A296653 a(n) is the smallest k > 15 such that the density of semiprimes in 1..k is 1/n.

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%I A296653 #16 Dec 14 2022 09:06:51
%S A296653 18,26432,3066830,348933114,44690978122,6553736049264
%N A296653 a(n) is the smallest k > 15 such that the density of semiprimes in 1..k is 1/n.
%C A296653 The condition that k > 15 is included in the definition because the ratio (number of semiprimes in 1..k)/k is 0 for k < 4 and reaches its maximum value (2/5) only at k = 10 (the 4th semiprime) and at k = 15 (the 6th semiprime), and decreases (although not monotonically) beyond that.
%F A296653 a(n) = exp(n log n + n log log n + O(n)). - _Charles R Greathouse IV_, Dec 14 2022
%e A296653 For k > 15, the ratio (number of semiprimes in 1..k)/k first decreases to --
%e A296653 1/3 at k = 18 (the 6th semiprime), so a(3) = 18;
%e A296653 1/4 at k = 26432 (the 6608th semiprime), so a(4) = 26432.
%Y A296653 Cf. A001358, A066265, A106130.
%K A296653 nonn,more
%O A296653 3,1
%A A296653 _Jon E. Schoenfield_, Dec 17 2017
%E A296653 a(7)-a(8) from _Giovanni Resta_, Aug 18 2018