I heard it through the grape vine
Well, I did have a dream in which I moved back and forth between circa AD 2000, circa AD 3000, and circa AD 4000 (in my mind, my dreams are always very long, often telling stories of days, sometimes even weeks).
All it really predicted date-wise was the closing of some of my favorite websites (and the only one I remember specifically occured in AD 2018, some time in June, I believe). AD 3000, however, was a barren lifeless hell, and the only living humans were a woman and a frighteningly insane man. Even though it was never spoken, it seems the woman was descended from me. Apparently, the man had played a rather large role in orchestrating mankind's extinction, and the woman had known him. He was trying to find her so that they could rebegin the human race via copulation, but she was quite terrified of him and always tried to stay far away.
I guess he must have caught her eventually, because AD 4000 was a technologically and spiritually evolved paradise. It had a few problems, but all in all it wasn't a bad place, and since it was the only era with time-travel technology, I was sort of stuck there (somehow I'd ended up there by an anomalous occurence from my own time). I did use the machines to visit AD 3000 and AD 2000 pretty regularly, though, but I ended up living in the fifth millennium with a friend I made there.
Also, I think there were some kind of other people in the year AD 3000. The woman said there was only one other human, but I met him at one point, and he seemed quite charming. He lived in a mansion on an oasis, and seemed none too eager nor knowledgeable of the woman. I think there were some sort of demonic entities running about the planet, because he had a lot of them guarding his mansion, and the physical description the woman gave of the man chasing her matched one of the demon things. All I really remember about them was that they were black, and often seemed to rudely disregard the existence of gravity or friction. Maybe I simply inferred that she was being chased by a human, and it was my mistake. Or maybe she was lying or confused.
In any case, there's little chance I'll be around to know if this dream turned out to be prophetic or not (although I guess I could check on that website one). There was also a faint discussion or acknowledgement of a series of devestating events that take place in the next quarter to half a century (from AD 2000), but no one really specified or talked about it much, and it didn't seem to be the focus of the dream.