Largest taxicab number

The nth so-called "taxicab number", Taxicab(n), is defined as the smallest number which can written as a sum of two cubed whole numbers in n different ways. Eg, Ta(2) = 1^3 + 12^3 = 9^3 + 10^3 = 1729. The name arose during the early 20th century when the mathematician Godfrey Hardy took a London taxicab to visit his friend and fellow mathematician Srinivasa Ramanujan, who was lying ill. The cab number was 1729, which Hardy remarked upon as being a dull number – before being corrected straight away by Ramanujan, who had suddenly realised its significance. Subsequent taxicab numbers have been found by computer. The largest known to date is Taxicab(6) = 24153319581254312065344, confirmed in 2008 by San Francisco-based software engineer Uwe Hollerbach.