MathDB
Problems
Contests
National and Regional Contests
PEN Problems
PEN H Problems
26
26
Part of
PEN H Problems
Problems
(1)
H 26
Source:
5/25/2007
Solve in integers the following equation
n
2002
=
m
(
m
+
n
)
(
m
+
2
n
)
⋯
(
m
+
2001
n
)
.
n^{2002}=m(m+n)(m+2n)\cdots(m+2001n).
n
2002
=
m
(
m
+
n
)
(
m
+
2
n
)
⋯
(
m
+
2001
n
)
.
number theory
greatest common divisor
Diophantine Equations