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2009 Korea Junior Math Olympiad
8
8
Part of
2009 Korea Junior Math Olympiad
Problems
(1)
Prime Powers
Source: 2009 Korean Junior Math Olympiad no. 8
5/23/2016
Let a, b, c, d, and e be positive integers. Are there any solutions to
a
2
+
b
3
+
c
5
+
d
7
=
e
11
a^2+b^3+c^5+d^7=e^{11}
a
2
+
b
3
+
c
5
+
d
7
=
e
11
?
number theory
prime numbers
Diophantine Equations