Problem A. 513. (September 2010)
A. 513. For what primes p does there exist a cubic polynomial f with integer coefficients with the property that p does not divide the leading coefficient of f and f(1),f(2),...,f(p) give pairwise distinct remainders modulo p?
Proposed by Péter Maga
(5 pont)
Deadline expired on November 10, 2010.
Statistics:
11 students sent a solution. 5 points: Ágoston Tamás, Backhausz Tibor, Frankl Nóra, Kalina Kende, Mester Márton, Nagy 235 János, Nagy 648 Donát, Strenner Péter. 4 points: Lenger Dániel, Szabó 928 Attila. 1 point: 1 student.
Problems in Mathematics of KöMaL, September 2010