A088709 Numbers m that are a product of two primes j and k such that m+j+k is prime.

6, 10, 14, 15, 21, 26, 33, 34, 35, 38, 46, 51, 55, 57, 58, 65, 74, 85, 86, 93, 111, 118, 123, 141, 143, 145, 155, 158, 161, 166, 177, 178, 185, 194, 201, 203, 205, 206, 209, 215, 221, 254, 267, 278, 295, 298, 319, 321, 323, 326, 327, 329, 334, 341, 346, 355, 365

Offset: 1

Author

Chuck Seggelin, Oct 11 2003

Keywords

• nonn

Examples

			a(2)=10 because 10 has only one pair of prime factors (2 and 5) and 10 + 2 + 5 = 17, which is prime.
		

Links

• Harvey P. Dale, Table of n, a(n) for n = 1..1000

Crossrefs

Cf. A001358.

Programs

Mathematica

ptpQ[n_]:=Module[{fi=FactorInteger[n]},Length[fi]==2&&Union[ fi[[All,2]]] == {1}&&PrimeQ[n+Total[fi[[All,1]]]]]; Select[Range[400],ptpQ] (* Harvey P. Dale, Nov 06 2020 *)