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%I #13 Mar 10 2022 10:27:55
%S 90,132,170,196,202,220,230,236,238,244,250,254,262,268,302,314,338,
%T 346,356,388,428,458,488
%N Numbers that can be expressed as the sum of two primes in exactly 9 ways.
%F A061358(a(n)) = 9. - _Alois P. Heinz_, Mar 08 2022
%e 90 = 7+83 = 11+79 = 17+73 = 19+71 = 23+67 = 29+61 = 31+59 = 37+53 = 43+47.
%t c[n_] := Count[IntegerPartitions[n, {2}], _?(And @@ PrimeQ[#] &)]; Select[Range[1000], c[#] == 9 &] (* _Amiram Eldar_, Mar 08 2022 *)
%Y Numbers that can be expressed as the sum of two primes in k ways for k=0..10: A014092 (k=0), A067187 (k=1), A067188 (k=2), A067189 (k=3), A067190 (k=4), A067191 (k=5), A066722 (k=6), A352229 (k=7), A352230 (k=8), this sequence (k=9), A352233 (k=10).
%Y Cf. A000954, A023036, A061358.
%K nonn,more
%O 1,1
%A _Wesley Ivan Hurt_, Mar 08 2022
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