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Are there a,b,c? Serbia Math Olympiad 2011
Are there a,b,c? Serbia Math Olympiad 2011
Source:
April 8, 2011
limit
number theory unsolved
number theory
Problem Statement
Are there positive integers
a
,
b
,
c
a, b, c
a
,
b
,
c
greater than
2011
2011
2011
such that:
(
a
+
b
)
c
=
.
.
.
2010
,
2011...
(a+ \sqrt{b})^c=...2010,2011...
(
a
+
b
)
c
=
...2010
,
2011...
?
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