scientific article; zbMATH DE number 7640028

zbMath1506.11008MaRDI QIDQ5060291

Gabriel Cardoso, P. J. Almeida

Publication date: 10 January 2023

Full work available at URL: https://cs.uwaterloo.ca/journals/JIS/VOL25/Almeida/almeida9.html

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zbMATH Keywords

Fermat numberabundancy index\(\alpha\)-perfect numberabundancy outlawEuclid-Euler theorem

Mathematics Subject Classification ID

Special sequences and polynomials (11B83) Arithmetic functions; related numbers; inversion formulas (11A25) Distribution of integers with specified multiplicative constraints (11N25)

Uses Software

• OEIS

Cites Work

• Unnamed Item
• On the equations \(p^x - b^y = c\) and \(a^x + b^y = c^z\)
• Ein Satz über natürliche Zahlen \(N\) mit \(\sigma(N)=3N\)
• The Abundancy Ratio, a Measure of Perfection
• Primes at a Glance
• Primary cyclotomic units and a proof of Catalans conjecture
• A Simpler Dense Proof regarding the Abundancy Index
• Small Two-Variable Exponential Diophantine Equations

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