taxicab number

GPTKB entity

Statements (23)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:alsoKnownAs gptkb:Hardy–Ramanujan_number
gptkb:taxicab(n)_number
gptkbp:defines the smallest number that can be expressed as a sum of two positive cubes in n distinct ways
gptkbp:field number theory
gptkbp:firstTaxicabNumber 1729
gptkbp:namedAfter taxicab anecdote involving G. H. Hardy and Srinivasa Ramanujan
gptkbp:notableExample 1729 = 1^3 + 12^3 = 9^3 + 10^3
gptkbp:notablePerson gptkb:G._H._Hardy
gptkb:Srinivasa_Ramanujan
gptkbp:OEIS gptkb:A001235
gptkbp:relatedConcept gptkb:Cabtaxi_number
cube
sum of cubes
gptkbp:sequence integer sequence
gptkbp:taxicab(1) 2
gptkbp:taxicab(2) 1729
gptkbp:taxicab(3) 87539319
gptkbp:taxicab(4) 6963472309248
gptkbp:taxicab(5) 48988659276962496
gptkbp:taxicab(6) 24153319581254312065344
gptkbp:bfsParent gptkb:Hardy–Ramanujan_number
gptkbp:bfsLayer 6