[seqfan] Re: 10 integers dividing the sum of the 10 integers

[Peter Munn]

Hi Eric,

Is there a reason why n=6 can't be integers = 1 2 3 4 6 8?

Best Regards,

Peter

On Mon, May 13, 2019 10:42 am, Éric Angelini wrote:
> Hello SeqFans,
> this was suggested to me by an "Enigma" posted here :
> https://bit.ly/2Vyu9Mv
> "Find 10 different integers {a, b, c, ... i, j} such
> that they all divide the sum (a+b+c+d+e+f+g+h+i+j)"
> The given solution was not mine -- as I wanted to
> find the lexicographically earliest set of this kind.
> Then I started to search for such lexico-sets of
> size "n" (with n > 2). Carole Dubois and I found:
> n=3, integers = 1 2 3
> n=4, integers = 1 2 3 6
> n=5, integers = 1 2 3 6 12
> n=6, integers = 1 2 3 4 20 30
[...]