%N Integers which are not the sum of a 5-almost prime and a prime.
%C Largest term is 3573570 (see b-file). No more terms < 10^9. Conjectured to be complete.
%H Donovan Johnson, <a href="/A146296/b146296.txt">Table of n, a(n) for n=2..2008</a>
%e 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.
%t Complement[Range, Union@Flatten@Outer[Plus, Select[Range, PrimeOmega[#] == 5 &], Prime[Range[PrimePi]]]] (* _Robert Price_, Jun 16 2019 *)
%Y Cf. A000040, A014614, A130588, A146295, A146297.
%A _Donovan Johnson_, Nov 05 2008