Mathematical and Physical Journal
for High Schools
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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.


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