The discussion revolves around identifying powers of 2 that consist only of even digits. The consensus among commenters highlights that notable examples include 2, 4, 8, 64, and 2048, with 2048 being a significant find as the highest such power under consideration. The commentary reflects the fact that while finding these powers can be straightforward, proving their limits and properties might be more complex, raising questions about the nature of mathematical proofs regarding simple expressions. There's curiosity about how these findings may extend or what patterns can be recognized, particularly regarding how many powers of 2 have only single even digits, which indicates an opportunity for deeper mathematical exploration.