Year: 2024
Type: preprint
Abstract: Ron Graham's Sequence is a surprising bijection from non-negative integers to non-negative, non-prime integers that was introduced by Ron Graham in the June 1986 "Problems" column of $\textit{Mathematics Magazine}$, and which later appeared in Problem A2 of the 2013 William Lowell Putnam Mathematical Competition. We describe some properties of this function, give an algorithm for computing its values in pseudo-polynomial time, and prove a 22 year-old conjecture about an upper bound for the function.
Source: arXiv (Cornell University)
Authors: Kagey, Peter, Rajesh, Krishna
Institutions: California State Polytechnic University, Harvey Mudd College
Language: English
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Funder: Oregon State University
OpenAlex ID: W4403964181