MathDB
Problems
Contests
National and Regional Contests
PEN Problems
PEN S Problems
5
S 5
S 5
Source:
May 25, 2007
algebra
polynomial
number theory
greatest common divisor
Miscellaneous Problems
Problem Statement
Suppose that both
x
3
−
x
x^{3}-x
x
3
−
x
and
x
4
−
x
x^{4}-x
x
4
−
x
are integers for some real number
x
x
x
. Show that
x
x
x
is an integer.
Back to Problems
View on AoPS