Problem A. 517. (October 2010)
A. 517. Let m3 be a positive integer, and let m(x) be the mth cyclotomic polynomial, and denote by m(x) the polynomial with integer coefficients for which . Prove that for every integer a, any prime divisor of the number m(a) either divides m or is of the form mk1.
Deadline expired on November 10, 2010.
5 students sent a solution. 5 points: Backhausz Tibor. 4 points: Ágoston Tamás, Nagy 235 János, Nagy 648 Donát. 3 points: 1 student.