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