Geodesic
On~primitive elements in finite fields and on elliptic curves
Sbornik. Mathematics, Tome 71 (1992) no. 1, pp. 41-50

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An asymptotic formula for the number of primitive polynomials of the form $f(x)+a$, $a=1,\dots,h$, where $f(x)\in F_p[x]$, is obtained, “on the average” over all polynomials $f$ of fixed degree, and an estimate for the number of “sparse” factorable polynomials is also obtained. 
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     author = {I. E. Shparlinski},
     title = {On~primitive elements in finite fields and on elliptic curves},
     journal = {Sbornik. Mathematics},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1992_71_1_a3/}
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I. E. Shparlinski. On~primitive elements in finite fields and on elliptic curves. Sbornik. Mathematics, Tome 71 (1992) no. 1, pp. 41-50. http://geodesic.mathdoc.fr/item/SM_1992_71_1_a3/