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Math Forum » Discussions » Math Topics » alt.math.recreational.independent

Topic: The sum of three cubes is also a cube
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prasadvrk

Posts: 3
From: utrecht
Registered: 9/15/09
The sum of three cubes is also a cube
Posted: Sep 15, 2009 7:25 AM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

Hi Math Fraternity,

As we all know Ramanujan gave the solution for the equation
x^3+y^3+z^3=t^3
eg.
3^3+4^3+5^3=6^3

This is the logical extension of the pythogorus theorem and can be expressed as the sum of the cubes of three sides of right angled triangle is equal to the cube of the half of of the perimeter of the same but this not valid for numbers other than multiples of 3,4 and 5 like 5,12,13

Can anyone supply more generic solution

Regards,
Prasad


Message was edited by: prasadvrk


Message was edited by: prasadvrk


Message was edited by: prasadvrk


Message was edited by: prasadvrk

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