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%I #5 Oct 14 2013 03:43:32
%S 18,24,30,36,42,54,60,66,84,108,126,138,174,186,216,228,264,276,306,
%T 360,414,444,456,486,546,558,606,636,666,684,726,738,756,774,804,876,
%U 936,978,996,1014,1044,1086,1176,1206,1236,1326,1386,1416,1536,1566,1596,1608,1644,1656,1746,1788,1854,1866,1998,2064,2076,2166,2586,2676,3054,3216,3336,3426,3504,3846,7116,7836,9276,9846,12744,15126,15816,24096,24534
%N Even numbers that can only be expressed as the sum of two distinct twin prime pairs in two ways: n = p+(q+2) = (p+2)+q where (3,5) < (p,p+2) < (q,q+2).
%e Sum arrangements for some n: n = p + (q+2) = (p+2) + q, 5 + 13 = 7 + 11, 5 + 19 = 7 + 17, 11 + 31 = 13 + 29, 29 + 109 = 31 + 107, 5 + 271 = 7 + 269, 11 + 433 = 13 + 431, 107 + 619 = 109 + 617, 347 + 829 = 349 + 827, 107 + 1429 = 109 + 1427, 821 + 1033 = 823 + 1031, 347 + 2239 = 349 + 2237, 41 + 3463 = 43 + 3461, 347 + 7489 = 349 + 7487, 3461 + 9283 = 3463 + 9281, 4091 + 20443 = 4093 + 20441
%K fini,full,nonn
%O 1,1
%A _M. B. Jones_, Jun 23 2010, Jun 26 2010, Jul 07 2010
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