Pseudoprimes and a generalization of Artin's conjecture

DOI10.4064/aa-41-2-141-150zbMath0496.10001OpenAlexW895705202WikidataQ62058777 ScholiaQ62058777MaRDI QIDQ3960897

Samuel S. jun. Wagstaff

Publication date: 1982

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/205837

zbMATH Keywords

Carmichael numberproduct formulasrelative densitypseudoprimesgeneralization of Artin's conjecture

Mathematics Subject Classification ID

Fibonacci and Lucas numbers and polynomials and generalizations (11B39) Power residues, reciprocity (11A15)

Related Items (21)

On the average number of elements in a finite field with order or index in a prescribed residue class ⋮ An analogue of Artin's conjecture for multiplicative subgroups of the rationals ⋮ Unified treatment of Artin-type problems ⋮ Positive lower density for prime divisors of generic linear recurrences ⋮ Higher rank generalizations of Fomenko's conjecture ⋮ Non primitive roots with a prescribed residue pattern ⋮ Constants for Artin-like problems in Kummer and division fields ⋮ On the index of appearance of a Lucas sequence ⋮ Near-primitive roots ⋮ A problem analogous to Artin's conjecture for primitive roots and its applications ⋮ A two-variable Artin conjecture ⋮ Around Pelikán's conjecture on very odd sequences ⋮ Results and estimates on pseudopowers ⋮ Prime divisors of linear recurrences and Artin's primitive root conjecture for number fields ⋮ Density of the quasi \(r\)-rank Artin problem ⋮ Irregular primes with respect to Genocchi numbers and Artin's primitive root conjecture ⋮ Asymptotically exact heuristic for (near) primitive roots. ⋮ PRIMES IN ARITHMETIC PROGRESSIONS AND NONPRIMITIVE ROOTS ⋮ On the distribution of the order and index of \(g\) (mod \(p\)) over residue classes. I ⋮ Equality of orders of a set of integers modulo a prime ⋮ On the Average Value of a Function of the Residual Index

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