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 A320701 #20 Oct 13 2022 10:10:19 %S A320701 9,11,15,16,18,21,23,32,36,37,39,40,51,54,55,56,58,67,71,73,74,76,84, %T A320701 86,96,100,102,103,105,107,108,110,111,118,119,123,129,130,133,160, %U A320701 161,164,165,167,170,174,179,184,185,187,188,194,195,199,200,202,208,210,216,218,219,227,231 %N A320701 Indices of primes followed by a gap (distance to next larger prime) of 6. %C A320701 Indices of the primes given in A031924. %C A320701 Subsequence of indices of sexy primes A023201. %H A320701 Hugo Pfoertner, <a href="/A320701/b320701.txt">Table of n, a(n) for n = 1..10000</a> %H A320701 <a href="/index/Pri#gaps">Index entries for primes, gaps between</a>. %F A320701 a(n) = A000720(A031924(n)). %F A320701 A320701 = { i > 0 | prime(i+1) = prime(i) + 6 } = A001223^(-1)({6}). %t A320701 Position[Differences[Prime[Range[250]]],6]//Flatten (* _Harvey P. Dale_, Oct 13 2022 *) %o A320701 (PARI) A(N=100,g=6,p=2,i=primepi(p)-1,L=List())={forprime(q=1+p,,i++; if(p+g==p=q, listput(L,i); N--||break));Vec(L)} \\ returns the list of first N terms of the sequence %Y A320701 Equals A000720 o A031924. %Y A320701 Row 3 of A174349. %Y A320701 Indices of 6's in A001223. %Y A320701 Cf. A029707, A029709, A320702, A320703, ..., A320720 (analog for gaps 2, 4, 8, 10, ..., 44), A116493 (gap 70), A116496 (gap 100), A116497 (gap 200), A116495 (gap 210). %K A320701 nonn %O A320701 1,1 %A A320701 _M. F. Hasler_, Oct 19 2018