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IMO Shortlist
1966 IMO Shortlist
34
Bulgaria 8
Bulgaria 8
Source: IMO LongList 1959-1966 Problem 34
September 2, 2004
number theory
equation
IMO Shortlist
IMO Longlist
Problem Statement
Find all pairs of positive integers
(
x
;
y
)
\left( x;\;y\right)
(
x
;
y
)
satisfying the equation
2
x
=
3
y
+
5.
2^{x}=3^{y}+5.
2
x
=
3
y
+
5.
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