Word.ws English Dictionary

taxicab number

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.

Noun

taxicab number (plural taxicab numbers)

  1. 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.

Synonyms of taxicab number

Forms of taxicab number

pluraltaxicab numbers

Origin of taxicab number

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.

Questions about taxicab number

What does taxicab number mean?
Taxicab number means 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.
What part of speech is taxicab number?
Taxicab number is a noun.
What is the plural of taxicab number?
The plural of taxicab number is taxicab numbers.

Words near taxicab number in the dictionary

  1. taxibuses
  2. taxicab
  3. taxicab distance
  4. taxicab distances
  5. taxicab geometry
  6. taxicab number
  7. taxicab numbers
  8. taxicabbed
  9. taxicabbing
  10. taxicabs
  11. taxicam

Source and license

Adapted from Wiktionary: taxicab number (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

Last updated:

Cite this entry: “taxicab number.” Word.ws, https://word.ws/taxicab_number. Based on Wiktionary, CC BY-SA 4.0.