There are two sets of two numbers that have cubes that add up to 1729 are
{1, 12} : 1³ + 12² = 1 + 1728 = 1729
{9, 10} : 9³ + 10³ = 729 + 1000 = 1729
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ramanujam expressed the number 1729 in sum of cubes of two positive numbers in two different ways.
1729 = 13 + 123 = 93 + 103
Cubes of numbers are made by multiplying a number by itself three times.
it is the smallet positive integer which can be expressed as the sum of two cubes in two different ways 1729=1+1728 =1000+729
5 and 6