The 2-adic valuation of shifted Padovan and Perrin numbers and applications

DOI10.55730/1300-0098.3568MaRDI QIDQ6645122

Unnamed Author, Nurettin Irmak

Publication date: 28 November 2024

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

zbMATH Keywords

Fermat number2-adic valuationPerrin numberMersenne numberPadovan numberProth numberCullen numberWoodall numberThâbit ibn Kurrah number

Mathematics Subject Classification ID

Congruences; primitive roots; residue systems (11A07) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Cites Work

• On Cullen numbers which are both Riesel and Sierpiński numbers
• Factorisation of \(Q=(2^q\mp q)\) and (\(q\cdot 2^q\mp 1\)).
• Generalized Cullen numbers in linear recurrence sequences
• The abc Conjecture Implies That Only Finitely Many s-Cullen Numbers Are Repunits
• On square Tribonacci Lucas numbers
• On a variant of the Brocard--Ramanujan equation and an application
• ON REPUNIT CULLEN NUMBERS
• On the 𝑝-adic zeros of the Tribonacci sequence
• Cullen numbers and Woodall numbers in generalized Fibonacci sequences
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