Brahmagupta's problem

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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]\displaystyle{ x^2 - 92y^2 = 1 }[/math]

for integers [math]\displaystyle{ x,y\gt 0 }[/math].

Brahmagupta gave the smallest solution as

[math]\displaystyle{ (x,y) = (1151,120) }[/math].

See also

External links

Weisstein, Eric W.. "Brahmagupta's Problem". http://mathworld.wolfram.com/BrahmaguptasProblem.html.