A new prime $p$ for which the least primitive root $({\rm mod} p)$ and the least primitive root $({\rm mod} p^2)$ are not equal

DOI10.1090/S0025-5718-08-02090-5zbMath1208.11005OpenAlexW1607700785WikidataQ56270273 ScholiaQ56270273MaRDI QIDQ3055139

Andrzej Paszkiewicz

Publication date: 7 November 2010

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0025-5718-08-02090-5

zbMATH Keywords

primitive rootsprime generators

Mathematics Subject Classification ID

Congruences; primitive roots; residue systems (11A07) Software, source code, etc. for problems pertaining to number theory (11-04)

Related Items

Explicit upper bound on the least primitive root modulo p2 ⋮ The Inverse of a Bad Primitive Root is Not Bad ⋮ Generalized Artin Primitive Root Conjecture ⋮ The least primitive root modulo \(p^2\)

Cites Work

• New Solutions of a p - 1 ≡1 (mod p 2 )
• Numerical calculation of the density of prime numbers with a given least primitive root
• Solutions of the congruence 𝑎^{𝑝-1}≡1 (mod 𝑝^{𝑟})
• The continuing search for Wieferich primes
• A search for Wieferich and Wilson primes
• Unnamed Item