Mathematical and Physical Journal
for High Schools
Issued by the MATFUND Foundation
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Problem A. 808. (October 2021)

A. 808. Find all triples of positive integers \(\displaystyle a\), \(\displaystyle b\) and \(\displaystyle c\) such that \(\displaystyle a\), \(\displaystyle b\) and \(\displaystyle c\) are pairwise relatively prime and

\(\displaystyle a^2+3b^2c^2=7^c. \)

Proposed by Nikolai Beluhov, Bulgaria

(7 pont)

Deadline expired on November 10, 2021.


Here is the solution by the submitter (Nikolai Beluhov): solution.pdf


Statistics:

11 students sent a solution.
3 points:6 students.
2 points:1 student.
1 point:2 students.
0 point:2 students.

Problems in Mathematics of KöMaL, October 2021