MathDB
Problems
Contests
National and Regional Contests
India Contests
India National Olympiad
1992 India National Olympiad
8
8
Part of
1992 India National Olympiad
Problems
(1)
Perfecy square???
Source: INMO 1992 Problem 8
10/4/2005
Determine all pairs
(
m
,
n
)
(m,n)
(
m
,
n
)
of positive integers for which
2
m
+
3
n
2^{m} + 3^{n}
2
m
+
3
n
is a perfect square.