MathDB
Problems
Contests
International Contests
JBMO ShortLists
2019 JBMO Shortlist
N3
JBMO Shortlist 2019 N3
JBMO Shortlist 2019 N3
Source:
September 12, 2020
number theory
Problem Statement
Find all prime numbers
p
p
p
and nonnegative integers
x
≠
y
x\neq y
x
=
y
such that
x
4
−
y
4
=
p
(
x
3
−
y
3
)
x^4- y^4=p(x^3-y^3)
x
4
−
y
4
=
p
(
x
3
−
y
3
)
.Proposed by Bulgaria
Back to Problems
View on AoPS