Ah I see! By *very* long time are we talking ~24hours? I've got a fairly decent CPU so I don't mind crunching the PoW. Cool you got my PC doing the calcs... couldn't even tell :D PoW Provider could be good, fingers crossed badges go wild!

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Time to get a target difficulty is geometrically distributed which means that as the variance increases at nearly the same rate as the expected time as you increase the difficulty