Video library: A. B. Kalmynin, On Nowak numbers

VIDEO LIBRARY


Conference to the Memory of Anatoly Alekseevitch Karatsuba on Number theory and Applications January 29, 2016 13:00, Dorodnitsyn Computing Centre, Department of Mechanics and Mathematics of Lomonosov Moscow State University., 119991, Moscow, Gubkina str., 8, Steklov Mathematical Institute, 9 floor, Conference hall

On Nowak numbers A. B. Kalmynin National Research University "Higher School of Economics" (HSE), Moscow
Abstract: Nowak numbers are the integer $n$ such that $2^n+1$ is divisible by $n$. The first several terms of this sequence are $1$, $3$, $9$, $27$, $81$, $171$, $243$, $513$, $729$, $1539...$ In the talk, we will discuss new lower bounds for the quantity of Nowak numbers $n$ whics are less or equal to $x$. Also, we will consider some generalizations of these sequence.