Brahmagupta's problem (original) (raw)
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Mathematics 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 − 92 y 2 = 1 {\displaystyle x^{2}-92y^{2}=1}
for integers x , y > 0 {\displaystyle x,y>0} 
Brahmagupta gave the smallest solution as
( x , y ) = ( 1151 , 120 ) {\displaystyle (x,y)=(1151,120)} 