Mathematical and Physical Journal
for High Schools
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Problem A. 528. (February 2011)

A. 528. Let a, b and n be positive integers and let C be a finite set of integers. Suppose that every positive integer can be represented in the form axn+byn+c with some positive integers x, y and c\inC. Find the possible values of n.

(Proposed by Péter Kutas, Budapest)

(5 pont)

Deadline expired on March 10, 2011.


7 students sent a solution.
5 points:Backhausz Tibor, Mester Márton, Nagy 235 János, Nagy 648 Donát, Strenner Péter.
3 points:1 student.
2 points:1 student.

Problems in Mathematics of KöMaL, February 2011