On the equation $\varphi (n)=\varphi (n+1)$

DOI10.4064/aa190627-20-1zbMath1462.11071OpenAlexW3034936798MaRDI QIDQ5146461

Mitsuo Kobayashi, Paul Kinlaw, Carl B. Pomerance

Publication date: 25 January 2021

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/aa190627-20-1

zbMATH Keywords

smooth numbersEuler's functionreciprocal sum

Mathematics Subject Classification ID

Distribution of integers with specified multiplicative constraints (11N25) Computational number theory (11Y99)

Related Items (2)

Coprime permutations ⋮ Unnamed Item

Uses Software

• OEIS

Cites Work

• Explicit bounds for primes in arithmetic progressions
• On locally repeated values of certain arithmetic functions. II
• Explicit estimates of some functions over primes
• Approximate formulas for some functions of prime numbers
• A generalization of a series for the density of abundant numbers
• Consecutive coincidences of Euler’s function
• On equations $\sigma(n)=\sigma(n+k)$ and $\varphi(n)=\varphi(n+k)$
• The reciprocal sum of the amicable numbers

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