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 A080862 #18 Aug 17 2025 13:12:52
%S A080862 60,66,72,100,110,116,172,178,182,194,206,212,218,226,248,278,326,332,
%T A080862 398
%N A080862 Numbers which can be expressed as the sum of two distinct primes in exactly six ways.
%C A080862 Apparently there are no further terms beyond 398. - _R. J. Mathar_, Oct 01 2021
%F A080862 {j: A117929(j) = 6}. - _R. J. Mathar_, Oct 01 2021
%e A080862 66 is a term as 66 = 37 + 29 = 43 + 23 = 47 + 17 = 53 + 13 = 59 + 7 = 61 + 5 are only the six ways to express 66 as a sum of two distinct primes.
%t A080862 tdpQ[n_]:=Count[IntegerPartitions[n,{2}],_?(AllTrue[#,PrimeQ]&&Length[Union[#]]==2&)]==6; Select[Range[400],tdpQ] (* _Harvey P. Dale_, Aug 17 2025 *)
%Y A080862 Cf. A077914 (2 ways), A077969 (3 ways), A078299 (4 ways), A080854 (5 ways).
%K A080862 nonn
%O A080862 1,1
%A A080862 _Shyam Sunder Gupta_, Mar 29 2003