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 A283555 #8 Mar 12 2017 13:01:04 %S A283555 98,122,124,126,128,148,150,190,192,208,210,212,220,222,224,250,252, %T A283555 292,294,302,304,306,308,326,328,330,332,346,348,368,398,410,418,420, %U A283555 430,432,458,476,478,480,488,500,518,520,522,532,534,536,538,540,542,556 %N A283555 Even numbers that cannot be expressed as p+3, p+5, or p+7, with p prime. %C A283555 Any even number 2n which fails the Goldbach condition (i.e., is not expressible as the sum of two primes) cannot be a prime plus 3 (by definition), but it must also be the case that the two even numbers immediately smaller than 2n (i.e., 2n-2 and 2n-4) also cannot be a prime plus 3, because if they were, 2n would be a prime plus 5 or a prime plus 7 and would satisfy Goldbach. Thus any even number which fails the Goldbach condition must fall in this sequence. Note: none of the given members of the sequence fails Goldbach. %t A283555 Select[2 Range[400], ! Or @@ PrimeQ[# - {3, 5, 7}] &] (* _Giovanni Resta_, Mar 10 2017 *) %Y A283555 Cf. A279040. %K A283555 nonn %O A283555 1,1 %A A283555 _Keith Backman_, Mar 10 2017