Mathematical and Physical Journal
for High Schools
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Problem B. 4696. (March 2015)

B. 4696. How many positive integers \(\displaystyle n\) are there such that the geometric mean and the harmonic mean of \(\displaystyle n\) and 2015 are both integers?

(3 pont)

Deadline expired on April 10, 2015.


134 students sent a solution.
3 points:90 students.
2 points:19 students.
1 point:14 students.
0 point:11 students.

Problems in Mathematics of KöMaL, March 2015