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Putnam
1954 Putnam
B1
B1
Part of
1954 Putnam
Problems
(1)
Putnam 1954 B1
Source: Putnam 1954
7/17/2022
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.
Putnam
number theory