Ramanujan observed 1729 is the smallest positive # expressible as a sum of 2 cubes in 2 ways. What's the counterpart for _squares_?
The counterpart for squares: Smallest positive # expressible as a sum of 2 squares in 2 ways. Doesn't say non-zero squares.
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were you concerned that Hardy did not write "...sum of two _positive_ cubes in two different ways"? (Of course he should have)
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Re squares, if we allow non-positive integers, 0^2+1^2=0^2+(-1)^2 would be a smaller positive sum than your example.
#pedantic - 4 more replies
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Intended as the counterpart of Ramanujan's famous statement for cubes. Note he did not state positivity explicitly either.
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