Perfect repdigits

DOI10.1090/S0025-5718-2013-02682-8zbMath1359.11010OpenAlexW4231896408WikidataQ106628014 ScholiaQ106628014MaRDI QIDQ5326519

Florian Luca, Sergio Sánchez, Kevin A. Broughan

Publication date: 6 August 2013

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

Full work available at URL: https://doi.org/10.1090/s0025-5718-2013-02682-8

zbMATH Keywords

perfect numbersPell equationsrepdigitsLucas-Lehmer sequenceseven perfect repdigitsodd perfect numbers with small Eulerian primeodd perfect repdigits with large Eulerian prime

Mathematics Subject Classification ID

Arithmetic functions; related numbers; inversion formulas (11A25) Radix representation; digital problems (11A63)

Uses Software

• Mathematica

Cites Work

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• Multiperfect numbers with identical digits
• Solving the Pell equation
• The intrinsic divisors of Lehmer numbers
• On the solutions of the congruence 𝑛²≡1(𝑚𝑜𝑑𝜙²(𝑛))
• Existence of primitive divisors of Lucas and Lehmer numbers
• Odd Repdigits to Small Bases Are Not Perfect
• On the Diophantine Equation mX 2 - nY 2 = ± 1
• Perfect Numbers with Identical Digits

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