MathDB
Q 13

Source:

May 25, 2007
algebrapolynomialalgorithmPolynomials

Problem Statement

On Christmas Eve, 1983, Dean Jixon, the famous seer who had made startling predictions of the events of the preceding year that the volcanic and seismic activities of 19801980 and 19811981 were connected with mathematics. The diminishing of this geological activity depended upon the existence of an elementary proof of the irreducibility of the polynomial P(x)=x1981+x1980+12x2+24x+1983.P(x)=x^{1981}+x^{1980}+12x^{2}+24x+1983. Is there such a proof?