SOLUTIONS OF NEGATIVE PELL EQUATION INVOLVING TWIN PRIME
Let be a positive non-square integer and Nbe any fixed positive integer. Then the equation is known as Pell’s equation named after the famous mathematician John Pell. In this paper, we fix dand Nto be twin prime 41 and 43 and search for non-trivial integer solution to the equation for the different choices of tgiven by (i) (ii) (iii) (iv) and (v) Further, recurrence relation on the solutions are obtained.
Diophantine equation, Pell’s equation, Brahma Gupta lemma.