Problem A. 483. (May 2009)
A. 483. For abritrary integers 0<kn and a>1, define .
(a) Show that is an integer.
(b) Do there exist integers 0<k<n<m and a>1, for which divides ?
(5 pont)
Deadline expired on June 15, 2009.
Statistics:
5 students sent a solution. 5 points: Nagy 235 János, Tomon István. 2 points: 3 students.
Problems in Mathematics of KöMaL, May 2009