Problem B. 4707. (April 2015)
B. 4707. Let \(\displaystyle t>1\) be an odd integer. Prove that there exist only a finite number of pairs of integers \(\displaystyle n\) and \(\displaystyle k\), not smaller than \(\displaystyle t\) such that \(\displaystyle S=\binom{n}{t} + \binom{k}{t}\) is a prime.
Suggested by B. Maga, Budapest
(5 pont)
Deadline expired on May 11, 2015.
Statistics:
13 students sent a solution. 5 points: Baran Zsuzsanna, Glasznova Maja, Schwarcz Tamás, Williams Kada. 4 points: Gáspár Attila, Imolay András, Nagy-György Pál, Németh 123 Balázs, Schrettner Bálint, Szebellédi Márton, Wiandt Péter. 0 point: 2 students.
Problems in Mathematics of KöMaL, April 2015