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PEN A Problems
8
A 8
A 8
Source:
May 25, 2007
quadratics
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modular arithmetic
algebra
Divisibility Theory
pen
Problem Statement
The integers
a
a
a
and
b
b
b
have the property that for every nonnegative integer
n
n
n
the number of
2
n
a
+
b
2^n{a}+b
2
n
a
+
b
is the square of an integer. Show that
a
=
0
a=0
a
=
0
.
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