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 A209624 #11 Jul 14 2020 16:05:52 %S A209624 11,17,23,29,37,41,47,53,59,67,71,79,83,89,97,101,107,113,127,131,137, %T A209624 157,163,167,173,179,197,211,223,227,233,239,257,263,269,277,281,307, %U A209624 311,317,331,337,353,359,367,373,379,383,389,397,401,409,439,443,449 %N A209624 Primes separated from their previous adjacent primes by a prime number of successive composites. %H A209624 Harvey P. Dale, <a href="/A209624/b209624.txt">Table of n, a(n) for n = 1..1000</a> %F A209624 a(n) = A151800(A209617). %e A209624 a(1)=11 is the first prime separated from the previous prime (7) by a prime number (3) of successive composites, namely, 10, 9, 8. %t A209624 Select[Prime[Range[2, 100]], PrimeQ[# - NextPrime[#, -1] - 1] &] (* _T. D. Noe_, Mar 12 2012 *) %t A209624 Select[Partition[Prime[Range[100]],2,1],PrimeQ[#[[2]]-#[[1]]-1]&][[All,2]] (* _Harvey P. Dale_, Jul 14 2020 *) %Y A209624 Cf. A209617. %K A209624 nonn %O A209624 1,1 %A A209624 _Lekraj Beedassy_, Mar 10 2012