

A177711


Natural numbers which are not sums of one or more distinct primorials.


1



4, 5, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 34, 35, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85
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OFFSET

1,1


LINKS

Table of n, a(n) for n=1..70.


FORMULA

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 ...}.


EXAMPLE

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.


CROSSREFS

Cf. A002110,A177689, A177697, A177708, A177709.
Sequence in context: A327577 A092961 A327614 * A115945 A084750 A092027
Adjacent sequences: A177708 A177709 A177710 * A177712 A177713 A177714


KEYWORD

easy,nonn


AUTHOR

Jonathan Vos Post, May 11 2010


STATUS

approved



