MathDB
Problems
Contests
National and Regional Contests
Greece Contests
Greece National Olympiad
2015 Greece National Olympiad
1
Equation with integers and prime
Equation with integers and prime
Source: Greek National MO 2015
March 4, 2015
number theory
prime numbers
Diophantine Equations
Problem Statement
Find all triplets
(
x
,
y
,
p
)
(x,y,p)
(
x
,
y
,
p
)
of positive integers such that
p
p
p
be a prime number and
x
y
3
x
+
y
=
p
\frac{xy^3}{x+y}=p
x
+
y
x
y
3
=
p
Back to Problems
View on AoPS