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Problems
Contests
National and Regional Contests
Vietnam Contests
Hanoi Open Mathematics Competition
2007 Hanoi Open Mathematics Competitions
2
2
Part of
2007 Hanoi Open Mathematics Competitions
Problems
(2)
What is largest positive integer
Source:
1/24/2016
What is largest positive integer n satisfying the following inequality:
n
2006
n^{2006}
n
2006
<
7
2007
7^{2007}
7
2007
?
HOMC (Vietnam)
Source:
1/25/2016
Which is largest positive integer n satisfying the following inequality:
n
2007
>
(
2007
)
n
n^{2007} > (2007)^n
n
2007
>
(
2007
)
n
.
number theory
inequalities