ABC implies there are infinitely many non-Fibonacci-Wieferich primes

DOI10.1016/j.jnt.2019.11.010zbMath1442.11056OpenAlexW2995700228MaRDI QIDQ2307462

Wayne Peng

Publication date: 27 March 2020

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2019.11.010

zbMATH Keywords

abc conjectureWieferich primesWall's conjecturearithmetic dynamical systemFibonacci-Wieferich primesWall-Sun-Sun primesWieferich criteria

Mathematics Subject Classification ID

Higher degree equations; Fermat's equation (11D41) Fibonacci and Lucas numbers and polynomials and generalizations (11B39) Primes (11A41)

Related Items (1)

On Wieferich and non-Wieferich primes with prime bases

Cites Work

• Bits of \(3^n\) in binary, Wieferich primes and a conjecture of Erdős
• A finiteness property of torsion points
• Wieferich's criterion and the abc-conjecture
• The ABC conjecture and the powerful part of terms in binary recurring sequences
• ABC implies primitive prime divisors in arithmetic dynamics
• Fibonacci Series Modulo m
• The S-unit equation over function fields
• A search for Fibonacci-Wieferich and Wolstenholme primes
• POLYNOMIAL IDENTITIES AND HAUPTMODULN
• Some Remarks on the abc-Conjecture
• On $abc$ and discriminants
• The Polynomials Associated with a Julia Set
• On the preperiodic points of an endomorphism of ℙ¹×ℙ¹ which lie on a curve
• Fibonacci numbers and Fermat's last theorem
• Exceptional Covers and Bijections on Rational Points
• A search for Wieferich and Wilson primes
• Exponential diophantine equations
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