2 papers
math.GM2025
Infinite matrix of odd natural numbers. A bit about Sophie Germain prime numbers
Gennady Eremin
In this paper we work with number sequences from the On-Line Encyclopedia of Integer Sequences (OEIS). Using the Pepis-Kalmar pairing function, we obtain an infinite matrix of natu…
math.CO2024
Partitioning the set of natural numbers into Mersenne trees and into arithmetic progressions; Natural Matrix and Linnik's constant
Gennady Eremin
We partition a series of natural numbers into infinite number sequences. We consider two partitioning options: (a) a forest of unary trees with recurrence formula of Mersenne numbe…