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

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Problem A. 445. (January 2008)

A. 445. Prove that for every prime number p and integer r there exists a nonnegative integer n for which $\binom{2n}{n}\equiv r\pmod{p}$ .

(5 pont)

Deadline expired on February 15, 2008.

5 students sent a solution.

5 points: Korándi Dániel, Lovász László Miklós, Nagy 235 János, Wolosz János.

4 points: Tomon István.

5 students sent a solution.
5 points:	Korándi Dániel, Lovász László Miklós, Nagy 235 János, Wolosz János.
4 points:	Tomon István.