Mathematical and Physical Journal
for High Schools
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Problem A. 533. (April 2011)

A. 533. Determine all triples (a,b,c) of positive integers for which abc+1 divides a2+b2.

(5 pont)

Deadline expired on May 10, 2011.


8 students sent a solution.
5 points:Backhausz Tibor, Janzer Olivér, Nagy 235 János, Nagy 648 Donát.
4 points:Frankl Nóra, Mester Márton, Strenner Péter.
2 points:1 student.

Problems in Mathematics of KöMaL, April 2011