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

### Statistics:

 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