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All harmonic numbers less than \(10^{14}\)

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Publication:957693
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DOI10.1007/BF03167540zbMath1154.11004MaRDI QIDQ957693

Takeshi Goto, Katsuyuki Okeya

Publication date: 1 December 2008

Published in: Japan Journal of Industrial and Applied Mathematics (Search for Journal in Brave)


zbMATH Keywords

harmonic meanharmonic numberharmonic seed


Mathematics Subject Classification ID

Arithmetic functions; related numbers; inversion formulas (11A25) Values of arithmetic functions; tables (11Y70)


Related Items (1)

Harmonic numbers and finite groups.



Cites Work

  • Unnamed Item
  • Numbers whose positive divisors have small integral harmonic mean
  • All numbers whose positive divisors have integral harmonic mean up to $\mathbf {300}$
  • On the Averages of the Divisors of a Number
  • On Numbers with Integral Harmonic Mean
  • Unsolved problems in number theory
  • Factorizations of 𝑏ⁿ±1, 𝑏=2, 3, 5, 6, 7, 10, 11, 12 Up to High Powers




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