Prime density of Lehmer sequences

zbMATH Open1548.11023MaRDI QIDQ6546711

Christian Ballot

Publication date: 30 May 2024

Published in: Integers (Search for Journal in Brave)

zbMATH Keywords

Lucas sequencesLehmer sequencesasymptotic density relative to the primes

Mathematics Subject Classification ID

Density, gaps, topology (11B05) Fibonacci and Lucas numbers and polynomials and generalizations (11B39) Primes (11A41)

Cites Work

• Title not available (Why is that?)
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• The set of primes dividing the Lucas numbers has density 2/3
• An extended theory of Lucas' functions.
• Über die Dichte der Primzahlen \(p\), für die eine vorgegebene ganzrationale Zahl \(a\neq 0\) von gerader bzw. ungerader Ordnung \(\mod p\) ist
• On groups of linear recurrences. I
• Prime divisors of Lucas sequences
• Density of prime divisors of linear recurrences
• On Lucas's Test for the Primality of Mersenne's Numbers
• Number fields
• The Lucas Sequences

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