A352229 Numbers that can be expressed as the sum of two primes in exactly 7 ways.

78, 96, 112, 130, 140, 176, 178, 194, 206, 208, 218, 224, 226, 232, 272, 278, 326, 398

Offset: 1

Author

Wesley Ivan Hurt, Mar 08 2022

Keywords

• nonn
• more

Examples

			78 = 5+73 = 7+71 = 11+67 = 17+61 = 19+59 = 31+47 = 37+41.
		

Crossrefs

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), this sequence (k=7), A352230 (k=8), A352231 (k=9), A352233 (k=10).

Programs

Mathematica

c[n_] := Count[IntegerPartitions[n, {2}], ?(And @@ PrimeQ[#] &)]; Select[Range[1000], c[#] == 7 &] (* _Amiram Eldar, Mar 08 2022 *)