Re: Math problem

[Pham Thi Thanh Hong <smm68490@ait.ac.th>]

Hi Tuan,

On Wed, 19 Mar 1997, Tuan V Nguyen wrote:

> Hello Thu Huong and Thanh Hong,
> 
>         You are very smart, that is the correct number (679). But, you have
> not told us how did you arrive at the number! Please do.
> 
>         Cheers,
> 
>         Tuan V Nguyen
> 

As my algorithm, count from 1 to  609, there are 87 numbers that is
indivisable for 7, such as 602, 595, 588, and so on. Among these numbers,
there are 12 numbers that is divisable for 49 ( = 7*7) such as 588, 539,..
and the number of 343 is equal 7*7*7. Thus, 609! will divisable for
7^(87+12+1 = 100).

Could you test whether this algorithm is true or not?

Cheers,

Hong.