Hint: Diophantine equation

Number Theory Level 3

There is a pair of positive integers ( x , y ) (x,y) such that x 3 − y 3 = x y + 61 x^3 - y^3 = xy + 61 .

Give your answer as ( x 2 + y 3 ) × 17 (x^2 +y^3) \times 17


The answer is 2737.0.

Syed Hamza Khalid by Syed Hamza Khalid , 17, France

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1 solution

Syed Hamza Khalid
Oct 15, 2017

( 6 2 + 5 3 ) × 17 = 2737 \huge ( 6^2 + 5^3 ) \times 17 = \color{#3D99F6} \boxed{2737}

1 Helpful 0 Interesting 0 Brilliant 0 Confused

U have bounded it really nice

sanghamitra ghosh - 3 years ago

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Thanks alot :)

Syed Hamza Khalid - 3 years ago

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