Mathematical and Physical Journal
for High Schools
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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.

Problems in Mathematics of KöMaL, December 2015