Geodesic
Some Remarks on Artin's Conjecture
Canadian mathematical bulletin, Tome 30 (1987) no. 1, pp. 80-85

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It is a classical conjecture of E. Artin that any integer a > 1 which is not a perfect square generates the co-prime residue classes (mod ρ) for infinitely many primes ρ. Let E be the set of a > 1, a not a perfect square, for which Artin's conjecture is false. Set E(x) = card(e ∊ E: e ≤ x). We prove that E(x) = 0(log6 x) and that the number of prime numbers in E is at most 6.
DOI : 10.4153/CMB-1987-012-5
Mots-clés : 10H35, 10H32, Artin's conjecture, primitive roots 
Murty, M. Ram; Srinivasan, S. Some Remarks on Artin's Conjecture. Canadian mathematical bulletin, Tome 30 (1987) no. 1, pp. 80-85. doi: 10.4153/CMB-1987-012-5
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