Brahmagupta's problem

This problem was given in India by the mathematician Brahmagupta in 628 AD in his treatise Brahma Sputa Siddhanta:

Solve the Pell's equation

<math>x^2 - 92y^2 = 1</math>

for integers <math>x,y>0</math>.

Brahmagupta gave the smallest solution as

<math>(x,y) = (1151,120)</math>.

See also

• Brahmagupta
• Indian mathematics
• List of Indian mathematicians
• Pell's equation
• Indeterminate equation
• Diophantine equation