Nonexistence of -quintuples
arXiv:1704.01874 · doi:10.1016/j.jnt.2018.07.013
Abstract
In this paper we prove a conjecture that -quintuple does not exist using both classical and new methods. Also, we give a new version of the Rickert's theorem that can be applied on some -quadruples.
38 pages; some mistakes corrected, some explanations added