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 A078584 #10 Mar 29 2015 11:55:15 %S A078584 1,2,2,2,6,6,2,6,2,4,6,6,4,4,4,4,2,2,6,6,2,2,2,12,2,6,10,6,2,4,10,4,4, %T A078584 6,2,6,6,4,8,8,2,2,4,8,2,12,4,4,12,18,10,6,6,6,2,6,2,10,4,6,12,6,10, %U A078584 10,6,4,6,8,14,12,10,4,10,4,4,4,4,4,10,4,6,4,6,6,4,2,2,10,10,6,4,4,6,6,22,10 %N A078584 a(n) = prime(2n) - prime(2n-1). %C A078584 First differences of A077133. Bisection of A001223. %C A078584 Partition the primes in pairs starting with 5: (5, 7), (11, 13), (17, 19), (23, 29), (31, 37), (41, 43), (47, 53). Sequence gives differences between pairs. - _Zak Seidov_, Oct 05 2003 %e A078584 a(4)=6 as a_o(5)=58 - a_e(5)=71 is 13 and a_o(4)=35 - a_e(4)=42 is 7 and the difference is 6. %t A078584 Table[ Prime[2n] - Prime[2n - 1], {n, 100}] (* _Robert G. Wilson v_, May 29 2004 *) %Y A078584 Cf. A000040, A088680, A088682, A088683, A088684. %K A078584 nonn,easy %O A078584 1,2 %A A078584 _Robert G. Wilson v_, Nov 30 2002 %E A078584 Edited by _N. J. A. Sloane_, Sep 15 2008 at the suggestion of _R. J. Mathar_