MathDB
Problems
Contests
National and Regional Contests
Mathlinks Contests.
MathLinks Contest 5th
1.1
0511 x^3 - y^3 = 2005(x^2 - y^2) 5th edition Round 1 p1
0511 x^3 - y^3 = 2005(x^2 - y^2) 5th edition Round 1 p1
Source:
May 6, 2021
number theory
5th edition
Problem Statement
Find all pairs of positive integers
x
,
y
x, y
x
,
y
such that
x
3
−
y
3
=
2005
(
x
2
−
y
2
)
x^3 - y^3 = 2005(x^2 - y^2)
x
3
−
y
3
=
2005
(
x
2
−
y
2
)
.
Back to Problems
View on AoPS