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National and Regional Contests
PEN Problems
PEN H Problems
82
82
Part of
PEN H Problems
Problems
(1)
H 82
Source:
5/25/2007
Find all triples
(
a
,
b
,
c
)
(a, b, c)
(
a
,
b
,
c
)
of positive integers to the equation
a
!
b
!
=
a
!
+
b
!
+
c
!
.
a! b! = a!+b!+c!.
a
!
b
!
=
a
!
+
b
!
+
c
!
.
Diophantine Equations