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%I #7 Jun 16 2019 22:30:16
%S 2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,20,22,24,25,28,30,32,34,36,
%T 40,44,46,48,50,52,54,60,64,66,68,70,72,74,76,78,80,82,96,108,114,116,
%U 120,126,130,132,136,144,150,156,162,168,174,180,204,210,216,240,246,258
%N Integers which are not the sum of a 4-almost prime and a prime.
%C Largest term is 60060 (see b-file). No more terms < 10^8. Conjectured to be complete.
%H Donovan Johnson, <a href="/A146295/b146295.txt">Table of n, a(n) for n=2..196</a>
%e 20 is in this sequence because no 4-almost prime and a prime sum to 20. 21 is not in this sequence because the sum of 16 (4-almost prime) and 5 (prime) is 21.
%t Complement[Range[1000], Union@Flatten@Outer[Plus, Select[Range[1000], PrimeOmega[#] == 4 &], Prime[Range[PrimePi[1000]]]]] (* _Robert Price_, Jun 16 2019 *)
%Y Cf. A000040, A014613, A130588, A146296, A146297.
%K fini,nonn
%O 2,1
%A _Donovan Johnson_, Nov 05 2008
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