International Journal of Engineering, Science and Mathematics
  • Year: 2017
  • Volume: 6
  • Issue: 4

Solutions of pell's equation involving star primes

  • Author:
  • Manju Somanath1, J. Kannan2, K. Raja3, V. Sangeetha4
  • Total Page Count: 3
  • Page Number: 96 to 98

1Assistant Professor, Department of Mathematics, National College, Bharathidasan University, Trichy, India

2Research Scholar, Department of Mathematics, National College, Bharathidasan University, Trichy, India

3Assistant Professor, Department of Mathematics, National College, Bharathidasan University, Trichy, India

4Assistant Professor, Department of Mathematics, National College, Bharathidasan University, Trichy, India

Online published on 19 April, 2019.

Abstract

We illustrate recent development in computational number theory by studying their implications in solving the Pell's equation. In this paper, we search for finding non-trivial integral solutions to the Pell's equation x2=73y2−37t for all choices of t∈N. Recurrence relations among the solutions are also obtained

Keywords

Pell equation, Integer solutions, Diophantine equation, Emirps, Star Primes, Pythagorean Primes