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%I A001172 M4085 N1694 #38 Dec 11 2021 11:05:25
%S A001172 0,6,10,22,34,48,60,78,84,90,114,144,120,168,180,234,246,288,240,210,
%T A001172 324,300,360,474,330,528,576,390,462,480,420,570,510,672,792,756,876,
%U A001172 714,798,690,1038,630,1008,930,780,960,870,924,900,1134,1434,840,990,1302
%N A001172 Smallest even number that is an unordered sum of two odd primes in exactly n ways.
%C A001172 a(n) = A023036(n) for all n > 1.
%D A001172 N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
%D A001172 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
%H A001172 T. D. Noe, <a href="/A001172/b001172.txt">Table of n, a(n) for n = 0..10000</a>
%H A001172 Eric Wolman, <a href="/A001172/a001172.pdf">Letter to N. J. A. Sloane</a>, 1970.
%H A001172 <a href="/index/Go#Goldbach">Index entries for sequences related to Goldbach conjecture</a>
%t A001172 nn = 55; a = Table[0, {nn}]; n = 6; While[Times @@ a == 0, c = 0; k = 3; While[k <= n/2, If[PrimeQ[k] && PrimeQ[n - k], c++]; k++]; If[c <= nn && a[[c]] == 0, a[[c]] = n]; n = n + 2]; Prepend[a, 0]
%Y A001172 Cf. A000954, A000974, A002375, A005843, A023036.
%Y A001172 Divided by 2: A258713.
%K A001172 nonn,nice,look,easy
%O A001172 0,2
%A A001172 _N. J. A. Sloane_, Eric Wolman, Dec 17 1969
%E A001172 a(0) corrected by _Zak Seidov_, Sep 30 2011

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