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2001 Polish MO Finals
1
2^n a+b being always a square
2^n a+b being always a square
Source:
January 14, 2005
modular arithmetic
function
number theory
Perfect Square
Problem Statement
Assume that
a
,
b
a,b
a
,
b
are integers and
n
n
n
is a natural number.
2
n
a
+
b
2^na+b
2
n
a
+
b
is a perfect square for every
n
n
n
.Prove that
a
=
0
a=0
a
=
0
.
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