演講者：陳宏賓 教授
國立中興大學應用數學系
臺灣UniMath主編
日 期：2019年3月20日（星期三） 14:30
地 點：國立高雄大學理學院408室
講 題：A Consequence of Bertrand's Postulate and Beyond
摘 要：
Bertrand's postulate assures that for any positive integer n > 3 there exists a prime p between n and 2n. A consequence of Bertrand’s postulate states that the set of integers {1,2,...,2n} can be partitioned into pairs so that the sum of each pair is a prime number for any positive integer n. In this talk, I will introduce its proof and a stronger conjecture by Filz in 1982 that the set of integers {1,2,...,2n} can be rearranged into a cycle so that the sum of any two adjacent integers is a prime number. With a fundamental result in graph theory and a recent breakthrough on the twin prime conjecture, we prove that Filz’s conjecture is true for infinitely many cases. This talk is based on a joint work with Hung-Lin Fu and Jun-Yi Guo.
演講者 : | 陳宏賓教授 |
講題 : | A Consequence of Bertrand's Postulate and Beyond |
演講日期 : | 2019-03-20 |