A352230 Numbers that can be expressed as the sum of two primes in exactly 8 ways.

84, 102, 108, 138, 142, 154, 160, 184, 190, 200, 214, 242, 256, 266, 284, 292, 296, 308, 362, 368

Offset: 1

Author

Wesley Ivan Hurt, Mar 08 2022

Keywords

• nonn
• more

Examples

			84 = 5+79 = 11+73 = 13+71 = 17+67 = 23+61 = 31+53 = 37+47 = 41+43.
		

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), A352229 (k=7), this sequence (k=8), A352231 (k=9), A352233 (k=10).

Programs

Mathematica

c[n_] := Count[IntegerPartitions[n, {2}], ?(And @@ PrimeQ[#] &)]; Select[Range[1000], c[#] == 8 &] (* _Amiram Eldar, Mar 08 2022 *)