Mathematical and Physical Journal
for High Schools
Issued by the MATFUND Foundation
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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.

### Statistics:

 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 solutionss.

Problems in Mathematics of KöMaL, October 2015