Year: 2023
Type: article
Abstract: We bring forth one of the most sought after and intriguing space pertaining to the magical world of Number Theory; and our attempts to uncover the continuing research and developments to find solutions for different aspects of the Pells equation. As indicated in this research paper, we attempt to find the possible solutions for the Pells equation x2 = 41y2-5m for all choice of m ∈ N. In this paper, we focused primarily on Pell's equations involving the Sophie Germain primes and present to you another mysterious series and pattern typically associated with the Pells equation. As we proceed through the research, we will bring to the fore the recurrence relations among the identied solutions.
Source: jnanabha
Authors: Manju Somanath, V. A. Bindu, Radhika Das
Institutions: Bharathidasan University, National College, Trichy
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W4390961355