The breatomega is equal to M(flexinega,5) in Hyper-Moser notation. The number was invented by Aarex Tiaokhiao. In the up-arrow notation breatomega is between \(2 \uparrow^5 (2 \uparrow^5 (2 \uparrow^5 3))\) and \(2 \uparrow^5 (2 \uparrow^5 (2 \uparrow^5 4))\).