MathDB
Problems
Contests
International Contests
IMO Shortlist
1966 IMO Shortlist
11
11
Part of
1966 IMO Shortlist
Problems
(1)
Does there exist an integer z ?
Source:
9/25/2010
Does there exist an integer
z
z
z
that can be written in two different ways as
z
=
x
!
+
y
!
z = x! + y!
z
=
x
!
+
y
!
, where
x
,
y
x, y
x
,
y
are natural numbers with
x
≤
y
x \le y
x
≤
y
?
number theory
factorial
Additive Number Theory
IMO Shortlist
IMO Longlist