Mathematical and Physical Journal
for High Schools
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Problem B. 4739. (October 2015)

B. 4739. Consider all real numbers \(\displaystyle x\) for which \(\displaystyle \tan x + \cot x\) is a positive integer. Find those of them for which \(\displaystyle \tan^3x + \cot^3 x\) is a prime number.

Proposed by B. Bíró, Eger

(4 pont)

Deadline expired on November 10, 2015.


166 students sent a solution.
4 points:105 students.
3 points:39 students.
2 points:7 students.
1 point:8 students.
0 point:5 students.
Unfair, not evaluated:2 solutions.

Problems in Mathematics of KöMaL, October 2015