olymmath

USAJMO 2023 Problem 1

  • Day 1

Find all triples of positive integers (x,y,z)(x,y,z) that satisfy the equation 2(x+y+z+2xyz)2=(2xy+2yz+2zx+1)2+2023.2(x+y+z+2xyz)^2=(2xy+2yz+2zx+1)^2+2023.

Dataset text AI-MO AoPS. Quoted with source.

Solutions

No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.

Add a solution

Similar problems

These problems have the most words in common with this statement.

Locator usajmo/2023/p1 · Tag X5VDD0GAA3 · Edit this page on GitHub · Keys: j next, k previous