Blue numbers!

My opinion is that your are int eh Science & Mathematics forum.

That's just an opinion, of course.

Point taken Roger, with over 6400 posts, your opinion is more valid than mine is.
However, I doubt whether the Riddles forum is on any Mathematicians check list and this particular topic may appeal to some of the knowledgeable members who would otherwise be unaware of its existence.

Ok, I'll bite. What's a blue number?

I think it's kind of like a sleezy strip act. Like your new Avatar, by the way.

Seniority counts for nothing, Tryagain. Nothing.

thanks roger.

Huh. That's an interesting problem. On inspection it looks like all numbers of the form 2^X between 1000 and 2000. I'll have to think on it and try to prove it. It's interesting, Tryagain, thanks for posting it.

The thanks go to Whim, the originator of this unique question. I hope you enjoy the challenge of finding the proof. There is already a possible answer on the original post. Good luck.