A binomial identity on the least prime factor of an integer
Samuel A. Hambleton
TL;DR
This paper proves a binomial identity related to the least prime factor of an odd integer n, connecting it with Pell conics, and explores its mathematical implications.
Contribution
It introduces a new binomial identity involving the least prime factor of an integer and discusses its relation to Pell conics.
Findings
Established a binomial identity involving the least prime factor
Connected the identity to properties of Pell conics
Provided insights into modular binomial symbols
Abstract
An identity for binomial symbols modulo an odd positive integer relating to the least prime factor of is proved. The identity is discussed within the context of Pell conics.
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Taxonomy
TopicsAdvanced Differential Equations and Dynamical Systems · Commutative Algebra and Its Applications · Algebraic Geometry and Number Theory