I certainly also looked through MathWorld but I failed to make some - in hindsight - rather obvious connections or did not pay enough attention. I certainly kne

I certainly also looked through MathWorld but I failed to make some - in hindsight - rather obvious connections or did not pay enough attention. I certainly knew what the discrete logarithm problem is and that it is hard but I did not realize until a few minutes ago that finding the multiplicative order is just that only with a different name. And now being aware of that the MathWorld article spells exactly this out in a way that it seems impossible to miss.