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

$x^{2}-92y^{2}=1$

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