MathDB
Problems
Contests
National and Regional Contests
India Contests
India LIMIT
2020 LIMIT
2020 LIMIT Category 1
6
LIMIT 2020 P6
LIMIT 2020 P6
Source: LIMIT 2020
April 11, 2020
number theory
Problem Statement
If
m
=
2
+
2
44
n
2
+
1
m=2+2\sqrt{44n^2+1}
m
=
2
+
2
44
n
2
+
1
is an integer then show that it is also a perfect square. Here
n
n
n
is a natural number.
Back to Problems
View on AoPS