OK so it's 5775 according to the Hebrew calendar. Which means of course that it's Problem of the year time (well ok it's a bit late but so what).
5775 turns out to be kinda tough (or I'm being silly).
(5+7)/(7+5)=1 is pretty easy.
getting 5-sqrt(7+7-5)=2 took me quite a while.
I have at the time of writing no way to get 3.
5-(7/7)^5=4
5*((7/7)^5)=5
5+(7/7)^5=6
all sort of fit together.
7 like 3 I don't have yet, although I've spent less time on it.
5+sqrt(7+7-5)=8
5-(7/7)+5=9
5*(7/7)+5=10
5+(7/7)+5=11
again fit into a nice group.
This is about where I stopped thinking about these (because 3 and 7 where incomplete).
So naturally the point of this post is to see what people come up with for the 3,7 and things bigger than 11. Enjoy!