MathDB
Problems
Contests
National and Regional Contests
India Contests
India IOQM
2022-23 IOQM India
5
5
Part of
2022-23 IOQM India
Problems
(1)
IOQM 2022-23 P-5
Source:
10/30/2022
Let
m
m
m
be the smallest positive integer such that
m
2
+
(
m
+
1
)
2
+
⋯
+
(
m
+
10
)
2
m^2+(m+1)^2+\cdots+(m+10)^2
m
2
+
(
m
+
1
)
2
+
⋯
+
(
m
+
10
)
2
is the square of a positive integer
n
n
n
. Find
m
+
n
m+n
m
+
n
nt
IOQM