Problem A. 677. (October 2016)

A. 677. Find all pairs $\displaystyle (p,q)$ of (positive) prime numbers for which $\displaystyle p^3+q^3+1$ is divisible by $\displaystyle pq$.

(5 pont)

Deadline expired on November 10, 2016.

Statistics:

17 students sent a solution.
5 points:	Baran Zsuzsanna, Bukva Balázs, Imolay András, Kerekes Anna, Matolcsi Dávid, Williams Kada.
4 points:	Egri Máté, Németh 123 Balázs, Váli Benedek.
2 points:	1 student.
0 point:	7 students.

Problems in Mathematics of KöMaL, October 2016