Lucas non-Wieferich primes in arithmetic progressions and the \textit{abc} conjecture

DOI10.1515/math-2022-0563zbMath1529.11005arXiv2101.04901WikidataQ123004022 ScholiaQ123004022MaRDI QIDQ6049700

A. R. Vijayalakshmi, I. Mumtaj Fathima, K. Anitha

Publication date: 15 September 2023

Published in: Open Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2101.04901

zbMATH Keywords

arithmetic progressionsabc conjectureWieferich primesLucas sequencesLucas non-Wieferich primes

Mathematics Subject Classification ID

Primes in congruence classes (11N13) Fibonacci and Lucas numbers and polynomials and generalizations (11B39) Primes (11A41)

Cites Work

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• Balancing non-Wieferich primes in arithmetic progression and \(abc\) conjecture
• Diophantine approximations and value distribution theory
• Wieferich's criterion and the abc-conjecture
• The abc conjecture and non-Wieferich primes in arithmetic progressions
• Non-Wieferich primes under the \(abc\) conjecture
• Lucas non-Wieferich primes in arithmetic progressions
• Existence of primitive divisors of Lucas and Lehmer numbers
• Non-Wieferich primes in arithmetic progressions
• On the abc conjecture in algebraic number fields
• A search for Fibonacci-Wieferich and Wolstenholme primes
• On Divisors of Fermat, Fibonacci, Lucas and Lehmer Numbers, III

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