Proofs of Universal Statements: Mathematical Induction · Well Ordering Principle

Lesson 3

Nikolai Chukhin · Alexander S. Kulikov

Problem. Are there positive integers \(a,b,c,d\) such that \[8a^{4}+4b^{4}+2c^{4}=d^{4}?\]

This problem can only be submitted at Cogniterra.

  1. Such a quadruple exists.

  2. Such a quadruple doesn't exist.