Raghavendra Bhat

collaborators

5 papers

math.GM2024

An Algebraic Structure for Square-Prime Numbers

Raghavendra N. Bhat

In the paper "An Abelian Loop for Non-Composites" (arXiv:110.14716), we introduced a group-like structure consisting of odd prime numbers and 1, with properties that allowed us to…

math.NT2024

Algebraic Results on SP Numbers along with a generalization

Raghavendra N. Bhat, Sundarraman Madhusudanan

We defined numbers of the form $p \cdot a^{2}$ as SP numbers (Square-Prime numbers) ( $a \neq = 1$ , $p$ prime) in the paper 'Distribution of Square-Prime numbers' (arXiv:2109.10238) along…

math.NT2024

Sequences, Series and Uniform distribution of SP Numbers

Raghavendra N. Bhat

We defined numbers of the form $p \cdot a^{2}$ as SP numbers (Square-Prime numbers) ( $a \neq = 1$ , $p$ prime) in 'Distribution of Square-Prime Numbers' (arXiv:2109.10238). These numbers a…

math.GM2024

An Abelian Loop for Non-Composites

Raghavendra N. Bhat

We define an abelian loop on a set $S$ consisting of 1 and all odd prime numbers with an operation $∙$ , where for $a, b$ $\in$ $S$ , $a$ $∙$ $b$ is the smallest element…

math.NT2024

Distribution of Square Prime Numbers

Raghavendra N. Bhat

For $a \neq = 1$ and $p$ prime, we define numbers of the form $p a^{2}$ to be Square-Prime (SP) Numbers. For example, 75 = 3 $\cdot$ 25; 108 = 3 $\cdot$ 36; 45 = 5 $\cdot$ 9. These numb…