Abstract
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 \(b^n\pm 1\).
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The full Table 2, with all 164 numbers, is at https://homes.cerias.purdue.edu/~ssw/taxitab2.txt.
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Wagstaff, S.S. Ramanujan’s taxicab number and its ilk. Ramanujan J 64, 761–764 (2024). https://doi.org/10.1007/s11139-024-00846-1
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DOI: https://doi.org/10.1007/s11139-024-00846-1