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2011 JBMO Shortlist
1
1005^x + 2011^y = 1006^z
1005^x + 2011^y = 1006^z
Source: JBMO 2011 Shortlist N1
October 14, 2017
JBMO
number theory
algebra
integer equation
Diophantine equation
modular arithmetic
Problem Statement
Solve in positive integers the equation
100
5
x
+
201
1
y
=
100
6
z
1005^x + 2011^y = 1006^z
100
5
x
+
201
1
y
=
100
6
z
.
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