MathDB
Problems
Contests
International Contests
JBMO ShortLists
2020 JBMO Shortlist
6
6
Part of
2020 JBMO Shortlist
Problems
(1)
JBMO Shortlist 2020 N6
Source: JBMO Shortlist 2020
7/4/2021
Are there any positive integers
m
m
m
and
n
n
n
satisfying the equation
m
3
=
9
n
4
+
170
n
2
+
289
m^3 = 9n^4 + 170n^2 + 289
m
3
=
9
n
4
+
170
n
2
+
289
?
Junior
Balkan
shortlist
2020
number theory
diophantine