MathDB
Problems
Contests
National and Regional Contests
Turkey Contests
JBMO TST - Turkey
2015 JBMO TST - Turkey
7
Inequality in Number Theory
Inequality in Number Theory
Source: 2015 Turkey JBMO TST
June 22, 2016
inequalities
number theory
Problem Statement
For the all
(
m
,
n
,
k
)
(m,n,k)
(
m
,
n
,
k
)
positive integer triples such that
∣
m
k
−
n
!
∣
≤
n
|m^k-n!| \le n
∣
m
k
−
n
!
∣
≤
n
find the maximum value of
n
m
\frac{n}{m}
m
n
Proposed by Melih Üçer
Back to Problems
View on AoPS