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题目:The largest prime factors of consecutive integers


摘要: Let $P^+(n)$ denote the largest prime factor of the integer $n$. One might guess that the density of integers $n$ with $P^+(n)<P^+(n+1)$ is $1/2$.

In fact, this conjecture was formulated in the correspondence of Erdős and Turán in the 1930s.

More generally, we may consider this type of problem for $k-$consecutive integers with $k\geq 3$, or impose some conditions on the integer $n$.

In this talk, we present the progress towards these questions.


报告人: 王志伟 (Université de Lorraine)


报告时间: 2018. 9. 27 (周四),下午15:10-16:10


报告地点: 知新楼B819


 
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