PROMYS is all about exploration and learning through experimentation, building the tools to ask and then tackle progressively more difficult and interesting questions. This makes the work deeply satisfying, because the results one discovers not only feel but truly are deep and meaningful mathematics.
I think that six weeks were the right length although they felt really short and I would not have minded staying for a longer time.
There were plenty of counsellors, friends and professors whom I could approach for help.
Other math camps are far more specialised on competition math which is OK but the research perspective of PROMYS teaches mathematically far more and is more satisfying. The longer time is also better.
I was astonished how PROMYS had scheduled lots of talks from experts, and how we even got to talk to these brilliant mathematicians.
The food and accommodation was simply perfect, almost pure luxury!