taxicab number

noun

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.

Meanings

nountaxicab number (plural taxicab numbers)

plural taxicab numbers

  1. mathematicsThe 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.

    Synonyms: Ramanujan-Hardy number

Synonyms & antonyms

nounThe 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 in a taxicab number 1729. Hardy suggested that the number seemed unremarkable, whereupon Ramanujan identified it as having this mathematical property.

Full word history & related roots →
Cite this entry
APA

taxicab number. (n.d.). In WatkinsX Dictionary. Retrieved November 5, 2026, from https://dictionary.watkinsx.com/word/taxicab%20number

MLA

“taxicab number.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/taxicab%20number. Accessed November 5, 2026.

Chicago

WatkinsX Dictionary, s.v. “taxicab number,” accessed November 5, 2026, https://dictionary.watkinsx.com/word/taxicab%20number.

Source: taxicab number on Wiktionary, CC BY-SA 4.0.