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 10 November 2015.
Statistics:
167 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. 
Unfair, not evaluated:  1 solution. 
