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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.

A109568 prime(k) for those k where floor((2*(prime(k+1)-prime(k))*PrimePi(k) mod (8*k))/k) = m with m = 14.

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%I A109568 #6 Jun 03 2025 01:07:46
%S A109568 1327,31907,35677,40289,40639,43801,79699,82073,85933,102701,110359,
%T A109568 124367,142993,149629,156157,190409,221327,259033,273367,282493,
%U A109568 283303,285871,288583,294563,296843,326369,341357,372539,377393,379207,390581,399283,425713,430193
%N A109568 prime(k) for those k where floor((2*(prime(k+1)-prime(k))*PrimePi(k) mod (8*k))/k) = m with m = 14.
%t A109568 a = Flatten[Table[If[Floor[2*Mod[(Prime[n + 1] - Prime[n])*PrimePi[n]/n, 8]] == 14, Prime[n], {}], {n, 1, 10000}]]
%Y A109568 Cf. A000040, A000720, A001359.
%Y A109568 Cf. A109556-A109569 for m = 2..15.
%K A109568 nonn,less
%O A109568 1,1
%A A109568 _Roger L. Bagula_, Jun 27 2005
%E A109568 Name edited, offset corrected and more terms added by _Amiram Eldar_, Jun 02 2025