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1983 Canada National Olympiad
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1983 Canada National Olympiad
Problems
(1)
Diophantine Equation with Factorials
Source: Canadian Mathematical Olympiad - 1983 - Problem 1.
6/26/2011
Find all positive integers
w
w
w
,
x
x
x
,
y
y
y
and
z
z
z
which satisfy
w
!
=
x
!
+
y
!
+
z
!
w! = x! + y! + z!
w
!
=
x
!
+
y
!
+
z
!
.
factorial
number theory unsolved
number theory