Consider numbers like

** 343** or

**2592.**

343=(3+4)^3

2592=2^5*9^2.
We have just shown that some numbers stay unchanged when a number of mathematical operators are added /inserted, without changing the order of the digits.

Within our puzzle lets call those numbers expressionist numbers.

Let us limit the set of acceptable mathematical symbols to the following operators: **
+, -, *, /, ^, sqrt, !. ** and any amount of brackets.

My questions:

In the
period between** 10 A.D. & 2016 A.D.** what years were labeled by expressionist numbers?

How many such years will there be between **2017 A.D. & 9999 A.D.**?

Bonus: How about one, two (or more) 5-digit examples?

In Tripleland, natives always go in trios: a knight, a knave, and a liar.

Once I met such a trio, and I asked one of the natives a simple question ("simple" meaning, "of six words or less"); he answered, and I knew what type he was. Then, I asked another of the natives a different simple question; he answered, and I knew what type he was, and therefore, the type of the third one too.

*"Logical" thinking: This cannot be. The natives could be in six possible orders. Two yes-no questions allow four combinations. Thus, you cannot pick one out of six with only two questions; you need one more!*

How could this be? What's wrong with the reasoning above?