The equation \(\sum ^9_{i=1} \frac {1}{x_i} = 1\) in distinct odd integers has only the five known solutions

DOI10.1016/j.jnt.2007.01.007zbMath1146.11021OpenAlexW2079510298WikidataQ114157594 ScholiaQ114157594MaRDI QIDQ2469216

Nechemia Burshtein

Publication date: 4 February 2008

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2007.01.007

zbMATH Keywords

Egyptian fractions

Mathematics Subject Classification ID

Rational numbers as sums of fractions (11D68)

Related Items (2)

All the solutions of the equation \(\sum ^{11}_{i=1} \frac{1}{x_i}= 1\) in distinct integers of the form \(x_i \in 3^{\alpha} 5^{\beta} 7^{\gamma}\) ⋮ On arithmetical structures on complete graphs

Cites Work

• All the solutions of the equation \(\sum ^{11}_{i=1} \frac{1}{x_i}= 1\) in distinct integers of the form \(x_i \in 3^{\alpha} 5^{\beta} 7^{\gamma}\)
• Unsolved problems in number theory
• On distinct unit fractions whose sum equals 1
• Unnamed Item

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