A146296 Integers which are not the sum of a 5-almost prime and a prime.

2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 36, 38, 40, 41, 42, 44, 46, 47, 48, 52, 54, 56, 57, 58, 60, 62, 64, 66, 68, 70, 72, 76, 78, 80, 81, 84, 86, 88, 90, 92, 94, 96, 98, 100, 102, 104, 106, 108

Offset: 2

Author

Donovan Johnson, Nov 05 2008

Keywords

• fini
• nonn

Comments

Largest term is 3573570 (see b-file). No more terms < 10^9. Conjectured to be complete.

Examples

			36 is in this sequence because no 5-almost prime and a prime sum to 36. 37 is not in this sequence because the sum of 32 (5-almost prime) and 5 (prime) is 37.
		

Links

• Donovan Johnson, Table of n, a(n) for n=2..2008

Crossrefs

Cf. A000040, A014614, A130588, A146295, A146297.

Programs

Mathematica

Complement[Range[1000], Union@Flatten@Outer[Plus, Select[Range[1000], PrimeOmega[#] == 5 &], Prime[Range[PrimePi[1000]]]]] (* Robert Price, Jun 16 2019 *)