Mathematical and Physical Journal
for High Schools
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# 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