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Ramanujan’s taxicab number and its ilk

  • Samuel S. Wagstaff Jr.

摘要

We discuss properties of the Hardy-Ramanujan taxicab number, 1729, and similar numbers. The similar numbers include Carmichael numbers, Lucas Carmichael numbers, sums of cubes, and integers of the form \(b^n\pm 1\) b n ± 1 .