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Mathematical Object

Taxicab Number

Number Theory

The nth taxicab number, denoted Ta(n), is the smallest integer that can be expressed as a sum of two positive integer cubes in n distinct ways. The best known example is 1729, the Hardy-Ramanujan number, which is Ta(2) because it equals both 1 cubed plus 12 cubed and 9 cubed plus 10 cubed. Taxicab numbers are studied in number theory as an illustration of how the same integer can arise from different combinations of cubes. This description is adapted from Wikipedia contributors under CC BY-SA 4.0; changes were made. https://creativecommons.org/licenses/by-sa/4.0/

Facts
Classification
Object Kind
Number 1
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Is Kind Of Object

Entity-backed identity for the object-kind enum value this mathematical object already carries, resolved to a mathematics concept by an explicit value-to-entity map (phase 3 bucket conversion, docs\design_entity_backed_browse_buckets_20260928.md). The object-kind fact itself stays on the object unchanged.

Sources
1. Taxicab Number (Wikipedia)
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