Mathematical and Physical Journal
for High Schools
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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.

Problems in Mathematics of KöMaL, January 2008