Proves that every prime p ≡ 4,7 mod 9 is a sum of two rational cubes, resolving 2/3 of Sylvester's conjecture via BSD progress and the solved Unbounded Denominators Conjecture.
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A proof of the $4,7$ cases of Sylvester's conjecture on cube sums
Proves that every prime p ≡ 4,7 mod 9 is a sum of two rational cubes, resolving 2/3 of Sylvester's conjecture via BSD progress and the solved Unbounded Denominators Conjecture.