Some Remarks on Artin's Conjecture
- 1 March 1987
- journal article
- Published by Canadian Mathematical Society in Canadian Mathematical Bulletin
- Vol. 30 (1) , 80-85
- https://doi.org/10.4153/cmb-1987-012-5
Abstract
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.Keywords
This publication has 2 references indexed in Scilit:
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