So what if I mixed the sugar in a small amount of hot water first so it desolves. Then put it into the bucket and put the beer ontop of that? Then mixed it would that help?
You mean you didn't? That's the best way to get consistant carbonation. Dry sugar will not easily mix with the beer. Have you ever made lemonade or Koolaid where you added dry sugar water and the flavoring? Have you ever noticed the dryish layer of chunky sugar undissolved at the bottom. That's not in the drink nor is in your bottled beer.
Boiling the priming sugar in 2 cups of water and adding it to the bottling bucket, and racking the beer on it will insure that it is integrated.
Also what did you mean by "a few weeks" and "room temp?" And what is the gravity of the beer? Specific info helps us to help you.
Storage Temp and gravity are the two factors that contribute to the time it takes to carb beer.
The
3 weeks at 70 degrees, that that we recommend is the
minimum time it takes for average gravity beers to carbonate and condition. Higher grav beers take longer.
Even a few degrees under 70 will translate into more time needed for the yeasties to do thier job.
Stouts and porters have taken me between 6 and 8 weeks to carb up..I have a 1.090 Belgian strong that took
three months to carb up.
But if you are not getting the sugar consistantly mixed to begin with, then all the time in the world won't help. And if you stir the liquid and the dry sugar as you need to with a pitcher of koolaid or lemonade, you would oxydize your beer immensely, and end up with liquid cardboard. Not a good thing.
With the priming sugar in liquid form it integrates effortlessly, with the natural flow of the beer racking into the priming liquid you poured into the bottom of the bucket, in fact if you put your autosiphon hose in the bucket in a way that it follows the curve of the bucket, the beer will swirl around on it's own, and you don't even have to stir it at tall.
Sounds like you need a short primer on bottling. This thread as a lot of good info.
https://www.homebrewtalk.com/f35/bottling-tips-homebrewer-94812/
And also this chapter in How to Brew as well-
http://www.howtobrew.com/section1/chapter11.html