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2019/3/20 陳宏賓教授專題演講

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

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
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