Researcher ORCID Identifier
Graduation Year
2024
Document Type
Open Access Senior Thesis
Degree Name
Bachelor of Science
Department
Mathematics
Reader 1
Peter Kagey
Reader 2
Arthur Benjamin
Terms of Use & License Information
Rights Information
© 2024 Krishna Rajesh
Abstract
Ron Graham's sequence is a surprising bijection from the natural numbers to the non-prime integers, which is constructed by looking at sequences whose product is square. In this thesis we will resolve a 22-year-old conjecture about this bijection, by construction of explicit sequences in a modified number theoretic context. Additionally, we will discuss the history of this problem, and give computational techniques for computing this bijection, levering ideas from linear algebra over the finite field of two elements.
Recommended Citation
Rajesh, Krishna, "Solving Robert Wilson’s 𝑡 ≠ 2 Conjecture on Graham Sequences" (2024). HMC Senior Theses. 283.
https://scholarship.claremont.edu/hmc_theses/283
