MathDB
Problems
Contests
International Contests
JBMO ShortLists
2019 JBMO Shortlist
N4
N4
Part of
2019 JBMO Shortlist
Problems
(1)
JBMO Shortlist 2019 N4
Source:
9/12/2020
Find all integers
x
,
y
x,y
x
,
y
such that
x
3
(
y
+
1
)
+
y
3
(
x
+
1
)
=
19
x^3(y+1)+y^3(x+1)=19
x
3
(
y
+
1
)
+
y
3
(
x
+
1
)
=
19
.Proposed by Bulgaria
number theory