Mathematical and Physical Journal
for High Schools
Issued by the MATFUND Foundation
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# Problem B. 4751. (December 2015)

B. 4751. Prove that $\displaystyle 3^{n}+5^{n}$ is not a perfect square for any positive integer $\displaystyle n$.

Proposed by G. Somlai, Budapest

(4 pont)

Deadline expired on January 11, 2016.

### Statistics:

 203 students sent a solution. 4 points: 179 students. 3 points: 13 students. 2 points: 6 students. 1 point: 3 students. 0 point: 2 students.

Problems in Mathematics of KöMaL, December 2015