MathDB
Problems
Contests
International Contests
Silk Road
2003 Silk Road
4
4
Part of
2003 Silk Road
Problems
(1)
International competition SRMC 2003 P-4
Source:
9/8/2010
Find
∑
k
∈
A
1
k
−
1
\sum_{k \in A} \frac{1}{k-1}
∑
k
∈
A
k
−
1
1
where
A
=
{
m
n
:
m
,
n
∈
Z
m
,
n
≥
2
}
A= \{ m^n : m,n \in \mathbb{Z} m,n \geq 2 \}
A
=
{
m
n
:
m
,
n
∈
Z
m
,
n
≥
2
}
.Problem was post earlier [url=http://www.artofproblemsolving.com/Forum/viewtopic.php?f=67&t=29456&hilit=silk+road]here , but solution not gives and olympiad doesn't indicate, so I post it again :blush:Official solution [url=http://www.artofproblemsolving.com/Forum/viewtopic.php?f=125&t=365714&p=2011659#p2011659]here
algebra proposed
algebra