MathDB
Problems
Contests
National and Regional Contests
Korea Contests
Korea Junior Mathematics Olympiad
2016 Korea Junior Math Olympiad
4
4
Part of
2016 Korea Junior Math Olympiad
Problems
(1)
find all integer n
Source: 2016 KJMO #4
11/13/2016
find all positive integer
n
n
n
, satisfying
n
(
n
+
2016
)
(
n
+
2
⋅
2016
)
(
n
+
3
⋅
2016
)
.
.
.
(
n
+
2015
⋅
2016
)
1
⋅
2
⋅
3
⋅
.
.
.
.
.
⋅
2016
\frac{n(n+2016)(n+2\cdot 2016)(n+3\cdot 2016) . . . (n+2015\cdot 2016)}{1\cdot 2 \cdot 3 \cdot . . . . . \cdot 2016}
1
⋅
2
⋅
3
⋅
.....
⋅
2016
n
(
n
+
2016
)
(
n
+
2
⋅
2016
)
(
n
+
3
⋅
2016
)
...
(
n
+
2015
⋅
2016
)
is positive integer.
number theory