1 results
PRIMES IN ARITHMETIC PROGRESSIONS AND NONPRIMITIVE ROOTS
- Part of
-
- Journal:
- Bulletin of the Australian Mathematical Society / Volume 100 / Issue 3 / December 2019
- Published online by Cambridge University Press:
- 24 May 2019, pp. 388-394
- Print publication:
- December 2019
-
- Article
- Export citation
-
Let
$p$ be a prime. If an integer 
$g$ generates a subgroup of index 
$t$ in 
$(\mathbb{Z}/p\mathbb{Z})^{\ast },$ then we say that 
$g$ is a 
$t$-near primitive root modulo 
$p$. We point out the easy result that each coprime residue class contains a subset of primes 
$p$ of positive natural density which do not have 
$g$ as a 
$t$-near primitive root and we prove a more difficult variant.
