Ramanujan observed 1729 is the smallest positive # expressible as a sum of 2 cubes in 2 ways. What's the counterpart for _squares_?
There's a substantial point here, which we might as well make explicit, since we've come this far. It's due to Diophantus.
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In his ARITHMETICA, he asserted that 65 = 1 + 64 = 16 + 49 because 65 = 5*13, and 5 = 1 + 4, 13 = 4 + 9. Without explanation
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