Lower Bounds on Some Van Der Waerden Numbers Based on Quadratic Residues

Meilian Liang1, Xiaodong Xu2, Zehui Shao3, Baoxin Xiu4
1School of Mathematics and Information Science, Guangxi University, Nanning 530004, China
2Guangxi Academy of Sciences, Nanning 530007, China
3Key Laboratory of Pattern Recognition and Intelligent Information Processing, School of Information Science & Technology, Chengdu University, Chengdu 610106, China
4College of Information System and Management, National University of Defense Technology, Changsha 410073, China

Abstract