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%I #4 Mar 30 2012 18:40:52
%S 4,5,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,34,
%T 35,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,
%U 62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85
%N Natural numbers which are not sums of one or more distinct primorials.
%F COMPLEMENT of {Primorial numbers A002110 UNION A177689 Sums of 2 distinct primorials UNION Sums of 3 distinct primorials A177697 UNION Sums of 4 distinct primorials A177709 UNION ...}.
%e 1 and 2 are not in the sequence, as they are the first and second primorials, 0# and 1#. 3 is not in the sequence, as 3 = 1+2. Neither 4 nor 5 can be the sum of distinct primorials (i.e. 4=2+2 or 5 = 2+2+1 repeat a primorial). 6 is not in the sequence, as it is 3#. 7 and 8 are not in the sequence as 7 = 6+1 and 8 = 6+2. 9 is not in the sequence, as 9 = 6+2+1.
%Y Cf. A002110,A177689, A177697, A177708, A177709.
%K easy,nonn
%O 1,1
%A _Jonathan Vos Post_, May 11 2010
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