MathDB
Problems
Contests
National and Regional Contests
Netherlands Contests
Dutch IMO TST
2018 Dutch IMO TST
3
(a+b)^3-2a^3-2b^3 is a power of two
(a+b)^3-2a^3-2b^3 is a power of two
Source: Dutch IMO TST 2018 day 3 p3
August 30, 2019
number theory
power of 2
Problem Statement
Determine all pairs
(
a
,
b
)
(a,b)
(
a
,
b
)
of positive integers such that
(
a
+
b
)
3
−
2
a
3
−
2
b
3
(a+b)^3-2a^3-2b^3
(
a
+
b
)
3
−
2
a
3
−
2
b
3
is a power of two.
Back to Problems
View on AoPS