PRIMES IN ARITHMETIC PROGRESSIONS AND NONPRIMITIVE ROOTS
2019 ◽
Vol 100
(3)
◽
pp. 388-394
Keyword(s):
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.
2002 ◽
Vol 53
(4)
◽
pp. 393-395
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1985 ◽
Vol 44
(170)
◽
pp. 561-561
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2013 ◽
Vol 65
(2)
◽
pp. 597-625
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