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 A064466 #3 Mar 30 2012 18:50:18
%S A064466 6,8,10,12,14,16,18,20,22,24,26,28,30,32,34,36,38,42,44,46,48,50,52,
%T A064466 54,56,58,60,62,64,66,68,72,74,76,78,80,84,86,88,90,92,94,96,98,102,
%U A064466 104,106,108,110,112,114,116,118,120,122,126,128,132,134,136,138,140,142
%N A064466 a(0) = 6 and a(n) = Min { m > a(n-1) | both a(n-1) - p and m - p are prime for some prime p } for n > 0.
%C A064466 The initially very frequent case a(k+1) = a(k) + 2 means that there is a twin prime (q, q + 2) with a(k+1) = p + (q + 2) and a(k) = p + q. This might illustrate a certain coherence of two famous conjectures: Goldbach and twin primes.
%e A064466 a(12) = 30 = 13 + 17: a(13) = 30 + 2 = 32 = 13 + 19 (common prime = 13). No common prime exists in Goldbach decompositions for a(16) = 38 and 40, so 40 <> a(17) = 42; a(16) = 38 = 7 + 31 = 19 + 19, 40 = 3 + 37 = 11 + 29 = 17 + 23, a(17) = 42 = 11 + 31 (for 38 and 42 common prime = 31); A064634(1) = 16, A064635(1) = 40 = 2 + 38 = 2 + a(A064634(1)).
%Y A064466 Cf. A001359, A002373, A064634, A064635.
%K A064466 nonn
%O A064466 0,1
%A A064466 _Reinhard Zumkeller_, Oct 02 2001