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 A088680 #15 Sep 22 2019 09:00:13 %S A088680 2,4,4,4,2,4,4,6,6,2,4,8,2,2,14,6,10,6,4,6,10,4,12,4,4,2,6,6,6,2,14,2, %T A088680 14,10,4,8,6,6,4,10,10,6,6,4,4,8,8,6,2,6,6,2,10,6,6,4,12,2,6,2,4,8,8, %U A088680 8,6,8,4,4,10,2,2,2,14,2,14,2,20,8,8,6,14,6,8,12,6,10,6,2,2,18,2,6,8,6,2 %N A088680 a(n) = prime(2n+1) - prime(2n). %C A088680 Partition the primes into pairs starting with 3: (3, 5), (7, 11), (13, 17), (19, 23), (29, 31), (37, 41), (43, 47). Sequence gives differences between pairs. %C A088680 A bisection of A001223. %F A088680 a(n) = A001223(2*n). %t A088680 Table[Prime[2n + 1] - Prime[2n], {n, 100}] (* _Robert G. Wilson v_, May 29 2004 *) %t A088680 Differences/@Partition[Prime[Range[2,200]],2]//Flatten (* _Harvey P. Dale_, Sep 22 2019 *) %Y A088680 Cf. A078584, A088682, A088683, A088684, A078584. %K A088680 base,easy,nonn %O A088680 1,1 %A A088680 _Zak Seidov_, Oct 05 2003 %E A088680 Edited by _Robert G. Wilson v_, May 29 2004 %E A088680 Offset corrected. - _R. J. Mathar_, Feb 23 2017