Possibly interesting sequence

Max Alekseyev maxale at gmail.com
Mon Aug 11 19:11:10 CEST 2008


All integers starting with 78 are good as proved by Graham:
http://www.math.ucsd.edu/~fan/ron/papers/63_02_partitions.pdf
(see also section D11 in UPINT book).

For integers below 78, it is easy to do exhaustive search to verify
whether they are good.

Regards,
Max

On Mon, Aug 11, 2008 at 7:01 AM, David Wilson <dwilson at gambitcomm.com> wrote:
> I found a puzzle site that poses in effect the following problem:
>
> For a set S of positive integers, call n = SUM(k in S, k) good when SUM(k in
> S, 1/k) = 1. Which integers are good?
>
> Fun for you programmers.
>
>





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