Newer sums of three cubes

2016/04/26 by Huisman, Sander G.
#11Y50 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1604.07746

Abstract

The search of solutions of the Diophantine equation x³ + y³ + z³ = k for k<1000 has been extended with bounds of |x|, |y| and |z| up to 10¹⁵. The first solution for k=74 is reported. This only leaves k=33 and k=42 for k<100 for which no solution has yet been found. A total of 966 new solutions were found.

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