Mathematical and Physical Journal
for High Schools
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Problem A. 418. (January 2007)

A. 418. Show that for all pair of reals 0<a<b there exists a positive integer n such that


a < \frac{\varphi(n+2)}{\varphi(n)} < b.

(Italian problem)

(5 pont)

Deadline expired on February 15, 2007.


Statistics:

5 students sent a solution.
5 points:Nagy 224 Csaba, Tomon István.
4 points:Nagy 235 János.
1 point:2 students.

Problems in Mathematics of KöMaL, January 2007