Sarokrae says:
@flahr not sure if in the books, I don’t own Numbers, but it’s on the website as a proof for square triangles = sum of cubes
salavant says:
@Fizzbitch0_o I do indeed. And it also turns out that the difference of two cubes is the difference times the sum squared minus the product.
MarcusduSautoy says:
Well done @daveman and @Tom_Chippendale. 1728 is a cube. Fermat’s Last Theorem says no cube can be written as the sum of two smaller cubes.
daveman says:
@MarcusduSautoy yes, it can be written as 12^3+1^3, or 10^3+9^3. 1728=12^3. I conjecture – A cube cannot be written as a sum of two cubes.
MarcusduSautoy says:
1729 is the smallest number that’s the sum of two positive cubes in two different ways. Why can’t 1728 be written as a sum of two cubes?
tbeseda says:
4445 is the smallest number that can be written as the sum of 4 distinct positive cubes in 4 ways. (via http://tr.im/jEom)
perplexus says:
is expressible as the sum of two cubes.
Tags: sum of cubes