Geodesic
Polynomials with Irreducible Factors of Specified Degree
Canadian mathematical bulletin, Tome 12 (1969) no. 2, pp. 221-223

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Let d be a positive integer and let p be a prime > d. Set q = pm, where m ≥ 1, and let I (q, d) denote the number of distinct primary irreducible polynomials of degree d over GF(q). It is a simple deduction from the well-known expression for I(q, d) that (1) where d* is the largest positive integer < d which divides d if d > 1, and d* is 0 if d = 1. 
Williams, Kenneth S. Polynomials with Irreducible Factors of Specified Degree. Canadian mathematical bulletin, Tome 12 (1969) no. 2, pp. 221-223. doi: 10.4153/CMB-1969-026-2
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     title = {Polynomials with {Irreducible} {Factors} of {Specified} {Degree}},
     journal = {Canadian mathematical bulletin},
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     year = {1969},
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