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%I #7 Jun 16 2019 22:30:22
%S 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,
%T 27,28,29,30,31,32,33,36,38,40,41,42,44,46,47,48,52,54,56,57,58,60,62,
%U 64,66,68,70,72,76,78,80,81,84,86,88,90,92,94,96,98,100,102,104,106,108
%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[1000], Union@Flatten@Outer[Plus, Select[Range[1000], PrimeOmega[#] == 5 &], Prime[Range[PrimePi[1000]]]]] (* _Robert Price_, Jun 16 2019 *)
%Y Cf. A000040, A014614, A130588, A146295, A146297.
%K fini,nonn
%O 2,1
%A _Donovan Johnson_, Nov 05 2008
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