MathDB
Problems
Contests
International Contests
Baltic Way
1991 Baltic Way
2
2
Part of
1991 Baltic Way
Problems
(1)
A sum of powers is not a power
Source:
4/19/2013
Prove that
10
2
1991
+
10
3
1991
102^{1991} + 103^{1991}
10
2
1991
+
10
3
1991
is not a proper power of an integer.