MathDB
Problems
Contests
National and Regional Contests
India Contests
Postal Coaching
2005 Postal Coaching
8
8
Part of
2005 Postal Coaching
Problems
(1)
A num ineq
Source: Indian Postal Coaching 2005
9/23/2005
Prove that For all positive integers
m
m
m
and
n
n
n
, one has
∣
n
2005
−
m
∣
>
1
90
n
| n \sqrt{2005} - m | > \frac{1}{90n}
∣
n
2005
−
m
∣
>
90
n
1
number theory solved
number theory