Boolean Pythagorean triples problem: Difference between revisions

Revision as of 18:32, 2 November 2020

Revision as of 18:32, 2 November 2020

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The problem asks if it is possible to color each of the positive integers either red or blue, so that no Pythagorean triple''a'', ''b'', ''c'', satisfying <math>a^2+b^2=c^2</math> are all the same color.

For example, in the Pythagorean triplete 3, 4 and 5 (<math>3^2+4^2=5^2</math>), if 3 and 4 are colored red, then 5 mustust be colored blue.

==Solution==