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National and Regional Contests
China Contests
China Team Selection Test
2003 China Team Selection Test
2
Find integer value of P
Find integer value of P
Source: China TST 2003
June 29, 2006
number theory unsolved
number theory
Problem Statement
Let
x
<
y
x<y
x
<
y
be positive integers and
P
=
x
3
−
y
1
+
x
y
P=\frac{x^3-y}{1+xy}
P
=
1
+
x
y
x
3
−
y
. Find all integer values that
P
P
P
can take.
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