Brahmagupta's problem explained

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

Solve the Pell's equation

x ^{2} - 92 y ^{2} = 1 for integers x,y> 0 .

Brahmagupta gave the smallest solution as

(x,y) = ( 1151 , 120 ) .

See also

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