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.

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.