> Euler's constant, gamma = 0.577215 ... = lim n -> infinity > (1 + 1/2 + 1/3 + 1/4 + ... + 1/n - ln(n)) (Not proven to be transcendental, but generally believed to be by mathematicians.)
So why bring some numbers here as transcendental if not proven?
Because it still might be transcendental. Just because you don't know if the list is correct, doesn't mean it isn't.
As far I know, Euler's constant hasn't even been proven to be irrational.