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.
(5 pont)
Deadline expired on November 10, 2010.
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