It is LCM(2,3,4,5,6,7,8,9,10) - 1 = 2^3 * 3^2 * 5 * 7 - 1 = 2519.

LCM = least common multiple.

Dave

On Mar 23, 2:41 am, Lavesh Rawat <[email protected]> wrote:
> *A Remainder is chasing me Problem Solution*
> *
> *I just found a number with an interesting property:
> When I divide it by 2, the remainder is 1.
> When I divide it by 3, the remainder is 2.
> When I divide it by 4, the remainder is 3.
> When I divide it by 5, the remainder is 4.
> When I divide it by 6, the remainder is 5.
> When I divide it by 7, the remainder is 6.
> When I divide it by 8, the remainder is 7.
> When I divide it by 9, the remainder is 8.
> When I divide it by 10, the remainder is 9.
> It's not a small number, but it's not really big, either. When I looked for
> a smaller number with this property I couldn't find one.
> Can you find it?
>
> Update Your Answers at : Click
> Here<http://dailybrainteaser.blogspot.com/2011/03/23march.html?lavesh=lavesh>
>
> Solution:
> Will be updated after 1 day
>
> --
>
>                     "Never explain yourself. Your friends don’t need it and
> your enemies won’t believe it" .

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