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Dec 19th, 2003, 01:56 PM
#1
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Cubes Again [Resolved]
This is just a sequel to a recent problem which ended by the Fermat's theorem.
Find the smallest number which can be expressed as the sum of cubes of two natural numbers in two different ways?
Thus if the number to find is x, then
x = a**3 + b**3 = c**3 + d**3
where a, b, c and d are natural numbers.
Definitely you are required to find a, b, c and d as well.
Problem courtsey the great mathematician Ramanujam, who was the friend of every number. There is a little story on this number occured while he was in hospital on the last day of his life.
Last edited by fundu; Dec 20th, 2003 at 07:35 PM.
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