Newer sums of three cubes — mentioned by jhncls

Tue, 26 Mar 2019 15:55:16 GMT

Some additional links: Sander Huisman's 2016 paper about solving the three cubes problem for 74, using a supercomputer in Lyon [0]. The approach for 33 is quite similar, just augmenting the range searched (and some additional tricks to further reduce the search space). Andrew Booker's paper about 33 [1]. It's quite funny how Numberphile inspired these searches. [0] https://arxiv.org/abs/1604.07746 [1] https://people.maths.bris.ac.uk/~maarb/papers/cubesv1.pdf

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Newer sums of three cubes — mentioned by lifthrasiir

Mon, 07 Aug 2017 06:27:33 GMT

I was replying that the constants in question include 33, 42 and 74... and realized that I'm late :-) In a more recent survey, though, it is now known that: > 74 = −284650292555885^3 + 66229832190556^3 + 283450105697727^3 [1] [2]. [1] https://arxiv.org/pdf/1604.07746v1.pdf [2] https://mathoverflow.net/a/223121

Paper and discussion history. A mention is not an endorsement.

Newer sums of three cubes · HackerPapers discussions

Newer sums of three cubes — mentioned by jhncls

Newer sums of three cubes — mentioned by lifthrasiir