taxicab-number

Spelling & Dictionary Insight

The English entry for taxicab number is 14 letters long, classified as anoun. It sits outside the most-frequent rank tiers, which is often why uncommon words generate more spelling variants per reader.The dominant gloss from Wiktionary reads: "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.".

No misspelling variants are generated for taxicab number in our index, suggesting the orthography follows predictable English patterns.It is not paired with a close-neighbour confusable in our dataset, which tends to mean the word is visually distinctive enough to stand on its own.

Etymologically, the entry records: 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. Root origin matters for spelling because borrowed morphemes (Greek, Latin, Old French, Old English) carry their source-language orthographic conventions into modern English, which is why historical etymology is often the cleanest predictor of whether a cluster like "-ough", "-eau", or "-tion" will appear. For readers arriving here from a spelling check, the authoritative guidance is: the correct English form is taxicab number, spelled T-A-X-I-C-A-B- -N-U-M-B-E-R, and any other sequence of those letters, regardless of how natural it feels, is a misspelling in standard orthography.