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Canada National Olympiad
1987 Canada National Olympiad
1
1
Part of
1987 Canada National Olympiad
Problems
(1)
On the equation n! = a^2 + b^2
Source: Canada National Mathematical Olympiad 1987 - Problem 1
9/30/2011
Find all solutions of
a
2
+
b
2
=
n
!
a^2 + b^2 = n!
a
2
+
b
2
=
n
!
for positive integers
a
a
a
,
b
b
b
,
n
n
n
with
a
≤
b
a \le b
a
≤
b
and
n
<
14
n < 14
n
<
14
.
number theory proposed
number theory