taxicab number
The nth taxicab number, typically denoted Ta or Taxicab, is the smallest number that…The nth taxicab number, typically denoted Ta(n) or Taxicab(n), is the smallest number that can be expressed as a sum of two positive algebraic cubes in n distinct ways.
Meaning
1 sensesThe nth taxicab number, typically denoted Ta(n) or Taxicab(n), is the smallest number that can be expressed as a sum of two positive algebraic cubes in n distinct ways.
Origin
From an anecdote of the mathematician G. H. Hardy, who went to visit Srinivasa Ramanujan iFrom an anecdote of the mathematician G. H. Hardy, who went to visit Srinivasa Ramanujan in a taxicab number 1729. Hardy suggested that the number seemed unremarkable, whereupon Ramanujan identified it as having this mathematical property.
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Forms
plural: taxicab numbers| Singular | taxicab number |
|---|---|
| Plural | taxicab numbers |
regular
Synonyms
1 synonymsSee also
neighbours in the dictionaryDictionary text adapted from Wiktionary (Wiktionary contributors, CC BY-SA 4.0) and Open English WordNet / Princeton WordNet (CC BY 4.0, WordNet License); shared under CC BY-SA 4.0. Example sentences and recordings are credited where they appear.