MathDB
Problems
Contests
National and Regional Contests
Moldova Contests
JBMO TST - Moldova
2017 Junior Balkan Team Selection Tests - Moldova
Problem 1
Diophantine equation
Diophantine equation
Source: Moldova JTST 2017, problem 1
May 3, 2017
number theory
Diophantine equation
Problem Statement
Find all natural numbers
x
,
y
x,y
x
,
y
such that
x
5
=
y
5
+
10
y
2
+
20
y
+
1.
x^5=y^5+10y^2+20y+1.
x
5
=
y
5
+
10
y
2
+
20
y
+
1.
Back to Problems
View on AoPS