Mathematical and Physical Journal
for High Schools
Issued by the MATFUND Foundation

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Problem A. 562. (April 2012)

A. 562. Let f(k)=2^k+1 for arbitrary positive integer k. Is there any positive integer n which divides f(f(n)), but does not divide f(f(f(n)))?

(5 pont)

Deadline expired on May 10, 2012.

1 student sent a solution.

5 points: Strenner Péter.