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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.

A078584 a(n) = prime(2n) - prime(2n-1).

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%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_