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

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

for integers ${\displaystyle x,y>0}$.

Brahmagupta gave the smallest solution as

${\displaystyle (x,y)=(1151,120)}$.

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

Weisstein, Eric W. "Brahmagupta's Problem". MathWorld.

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