Thread: Ramunjan

1729 is the smallest number that are the smallest number that can be expressed as the sum of two cubes in n distinct ways.
What about the other numbers < 10 000 ?

Originally Posted by Quantum

1729 is the smallest number that are the smallest number that can be expressed as the sum of two cubes in n distinct ways.
What about the other numbers < 10 000 ?

Your question is not clear. First of all, 1729 is the smallest number that can be expressed as the sum of two positive cubes in two different ways. So, are you looking to replace the number two with, say, 3, 4, ..., 9999? Or are you looking to remove the word "smallest" and just find all numbers < 10000 that are expressible as the sum of two positive cubes in two different ways?

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