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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 points)

Deadline expired on 10 June 2016.

Statistics on problem B. 4799.
 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

•  Támogatóink: Morgan Stanley