International Mathematics Competition
for University Students
2020

Select Year:


IMC 2020
Information
  Schedule
  Problems & Solutions
  Results
  Contact
  Log In
 

IMC2020: Day 2, Problem 6

Problem 6. Find all prime numbers \(\displaystyle p\) for which there exists a unique \(\displaystyle a\in \{1,2,\ldots,p\}\) such that \(\displaystyle a^3-3a+1\) is divisible by \(\displaystyle p\).

Géza Kós, Loránd Eötvös University, Budapest

        

IMC
2020

© IMC