Mathematical and Physical Journal
for High Schools
Issued by the MATFUND Foundation
 Already signed up? New to KöMaL?

# Problem B. 4799. (May 2016)

B. 4799. Determine those pairs of non-negative integers $\displaystyle (a,b)$ for which $\displaystyle 5^a+3^b$ is a perfect square.

Proposed by T. Káspári, Paks

(5 pont)

Deadline expired on June 10, 2016.

### Statistics:

 91 students sent a solution. 5 points: 64 students. 4 points: 11 students. 3 points: 7 students. 2 points: 4 students. 1 point: 4 students. 0 point: 1 student.

Problems in Mathematics of KöMaL, May 2016