MathDB

7

Part of 1969 IMO Shortlist

Problems(1)

sqrt{x^3 + y^3 + z^3}=1969 has no solutions.

Source:

9/29/2010
(BUL1)(BUL 1) Prove that the equation x3+y3+z3=1969\sqrt{x^3 + y^3 + z^3}=1969 has no integral solutions.
modular arithmeticnumber theoryDiophantine equationAdditive Number Theoryperfect cubeIMO ShortlistIMO Longlist