12 Mar
2019
12 Mar
'19
3:58 p.m.
correction: 33=8866128975287528^3+(-8778405442862239)^3+(-2736111468807040)^3 was found by Andrew R. Booker (not by Timothy Browning as I stated above). His paper is here: https://people.maths.bris.ac.uk/~maarb/papers/cubesv1.pdf Also, D.R. Heath-Brown has conjectured that if k is not +-4 mod 9 then there are infinitely many solutions in integers to x^3 + y^3 + z^3 = k. Apparently this conjecture is thought to be true by Booker and (some?) others familiar with the problem. On Fri, Mar 8, 2019 at 5:44 PM James Buddenhagen <jbuddenh@gmail.com> wrote:
33=8866128975287528^3+(-8778405442862239)^3+(-2736111468807040)^3 found by Timothy Browning communicated on Quora by Alon Amit