Since negative numbers are not excluded by the problem as posed, the answer is negative infinity - since any other solution has another number smaller than it. This doesn't fit well with the statement 'it is not a small number', but that is a subjective description.

2519

-1

-2521

-5041

-7561

-10081

-12601

-15121

-17641

etc.

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?

**Edited by xucam, 11 November 2008 - 09:37 PM.**