MathDB
Problems
Contests
National and Regional Contests
China Contests
China Team Selection Test
2015 China Team Selection Test
6
Squarefree Numbers
Squarefree Numbers
Source: 2015 China TST 3 Problem 3
March 19, 2015
number theory
Analytic Number Theory
squarefree
Problem Statement
Prove that there exist infinitely many integers
n
n
n
such that
n
2
+
1
n^2+1
n
2
+
1
is squarefree.
Back to Problems
View on AoPS