chakravala method for solving indeterminate equations

Target entity: chakravala method for solving indeterminate equations
Context triple: [Indian mathematics, developedMethod, chakravala method for solving indeterminate equations]

• A. Bhaskara’s Bhedabheda
  Bhaskara’s Bhedabheda is a sub-school of Vedanta that teaches the soul’s simultaneous difference and non-difference from Brahman, emphasizing both their unity and real distinction.
• B. Ramanujan–Nagell equation
  The Ramanujan–Nagell equation is a famous Diophantine equation in number theory that has only finitely many integer solutions and is closely associated with the work of Srinivasa Ramanujan.
• C. Fermat's theorem on sums of two squares
  Fermat's theorem on sums of two squares is a result in number theory stating exactly which prime numbers (and, more generally, which integers) can be expressed as the sum of two perfect squares.
• D. Lebesgue–Nagell equation
  The Lebesgue–Nagell equation is a Diophantine equation of the form \(x^2 + D = y^n\) (with fixed integers \(D\) and \(n \ge 3\)) studied in number theory for its finite and often explicitly determinable set of integer solutions.
• E. On Pythagorean Numbers
  On Pythagorean Numbers is a lost philosophical work by the ancient Greek philosopher Speusippus that explored numerical doctrines associated with Pythagorean thought.
• F. None of above. chosen
• G. Unsure - the case is ambiguous/there is not enough information to decide.

Target entity: chakravala method for solving indeterminate equations
Target entity description: The chakravala method for solving indeterminate equations is an ancient Indian cyclic algorithm, notably used to solve Pell-type quadratic Diophantine equations with remarkable efficiency and generality.

• A. Bhaskara’s Bhedabheda
  Bhaskara’s Bhedabheda is a sub-school of Vedanta that teaches the soul’s simultaneous difference and non-difference from Brahman, emphasizing both their unity and real distinction.
• B. Ramanujan–Nagell equation
  The Ramanujan–Nagell equation is a famous Diophantine equation in number theory that has only finitely many integer solutions and is closely associated with the work of Srinivasa Ramanujan.
• C. Fermat's theorem on sums of two squares
  Fermat's theorem on sums of two squares is a result in number theory stating exactly which prime numbers (and, more generally, which integers) can be expressed as the sum of two perfect squares.
• D. Lebesgue–Nagell equation
  The Lebesgue–Nagell equation is a Diophantine equation of the form \(x^2 + D = y^n\) (with fixed integers \(D\) and \(n \ge 3\)) studied in number theory for its finite and often explicitly determinable set of integer solutions.
• E. On Pythagorean Numbers
  On Pythagorean Numbers is a lost philosophical work by the ancient Greek philosopher Speusippus that explored numerical doctrines associated with Pythagorean thought.
• F. None of above. chosen