Problem B. 4715. (May 2015)
B. 4715. Find all pairs of positive integers \(\displaystyle (a,b)\) such that \(\displaystyle a^{(b^2)}=b^a\).
(5 pont)
Deadline expired on June 10, 2015.
Statistics:
44 students sent a solution. 5 points: Andi Gabriel Brojbeanu, Baran Zsuzsanna, Csépai András, Döbröntei Dávid Bence, Fekete Panna, Gáspár Attila, Glasznova Maja, Imolay András, Kerekes Anna, Lajkó Kálmán, Nagy-György Pál, Németh 123 Balázs, Polgár Márton, Schrettner Bálint, Szebellédi Márton, Tóth Viktor, Török Tímea, Váli Benedek, Varga-Umbrich Eszter, Williams Kada. 4 points: Bereczki Zoltán, Czirkos Angéla, Hraboczki Attila Márton, Leitereg Miklós, Nagy Kartal. 3 points: 1 student. 2 points: 1 student. 1 point: 10 students. 0 point: 6 students. Unfair, not evaluated: 1 solutions.
Problems in Mathematics of KöMaL, May 2015