Simple Looking Equation

Number Theory Level 4

Do there exist any solutions to the equation x 3 + y 3 + z 3 = 30 x^3+y^3+z^3=30 in integers x x , y y , and z z ?

Yes No

Alex Li by Alex Li , 22, USA

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2 solutions

Alex Li
Jun 25, 2015

One such solution is ( x , y , z ) = ( 2220422932 , − 2218888517 , − 283059965 ) (x,y,z)=(2220422932, -2218888517, -283059965)

https://ckrao.wordpress.com/2012/04/10/integers-equal-to-the-sum-of-three-cubes/

3 Helpful 0 Interesting 0 Brilliant 0 Confused

Bro, where did you find such fabulous answer.....??

Parag Dhingra - 5 years, 11 months ago
Fedor Panafidin
Jan 23, 2016

Haha, saw it in numberphile

1 Helpful 0 Interesting 0 Brilliant 0 Confused

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