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Putnam
1954 Putnam
B1
Putnam 1954 B1
Putnam 1954 B1
Source: Putnam 1954
July 17, 2022
Putnam
number theory
Problem Statement
Show that the equation
x
2
ā
y
2
=
a
3
x^2 -y^2 =a^3
x
2
ā
y
2
=
a
3
has always integral solutions for
x
x
x
and
y
y
y
whenever
a
a
a
is a positive integer.
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