numbers of the third kind

[Jon Awbrey]

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by a conjecture at the following sequence,
i think that it might be the complement of:

http://www.research.att.com/projects/OEIS?Anum=A066542

3,4,5,7,8,11,13,16,17,19,23,29,31,32,37,41,43,47,53,59,61, ...

ja

Jaap Spies wrote:
> 
> > Superseeker returned:
> > Report on [6,9,10,12,14,15,18,20,21,22,24,25,26,27,28,30,33,34,35,36,38,39]:

...

> Let's see what is so special about this numbers.
> 1. there are no (odd) primes;
> 2. there are no powers of 2.
> 
> The numbers in the sequence can be written as a sum of at least three
> positive integers. See:
>     http://www.jaapspies.nl/mathfiles/problem2005-2C.pdf
> Solution of Problem C from the UWC of Nieuw Archief voor Wiskunde:
> http://www.math.leidenuniv.nl/%7Enaw/serie5/index.php?deel=6&nummer=2&taal=1
> 
> So we have only three kinds of natural numbers: the odd primes, the
> powers of 2 and numbers that can be represented as sum of at least
> three integers.
> 
> Comments?
> 
> I will submit this and two related sequences shortly,
> 
> Jaap Spies

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