Problem A. 753. (May 2019)

A. 753. Let \(\displaystyle a\) be an integer, and let \(\displaystyle p\) be a prime divisor of \(\displaystyle a^3+a^2-4a+1\). Show that there is an integer \(\displaystyle b\) such that \(\displaystyle p\equiv b^3\pmod{13}\).

(7 pont)

Deadline expired on June 11, 2019.

Statistics:

5 students sent a solution.
7 points:	Schrettner Jakab.
0 point:	4 students.

Problems in Mathematics of KöMaL, May 2019