Hi,
I'm a high school junior. I found out about the Williams College Math Camp a few days ago, which from its description seems like it has a focus on number theory/modular arithmetic. Should I try applying? The program says it accepts Algebra 2 students, but I'm already in advanced precalc and know some calculus. I also go to NYU Math Circle every week which has taught me a lot about contest math, e.g. I know about Fermat's Little Theorem/Euler's generalization/Wilson's theorem in number theory, etc. so I feel like I might be relearning things there. Should I try going? Are there higher-level programs that run around the same time period?
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