2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/67586We demonstrate, using character sum arguments, the existence of primitive polynomials of degree n over a finite field GF(q) with the coefficients for x^(n-1), x^(n-2), and x^(n-3) prescribed, so long as char(GF(q)) is at least 5 and n is at least 9. The cases n=7, 8 are also considered.15 pages, 17 tables; see also http://www.math.siu.edu/mills/default1.htmNumber Theory11T06; 11T71text