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NumberTheory
Number Theory is a really neat topic...
Some subtopics concerning special types of numbers:
- ProthNumbers -- proth numbers are of the form k*2n + 1.
- MersenneNumbers? -- numbers of the form 2n - 1. 'GIMPs' (Great Internet Mersenne Prime Search) searches for Mersenne Primes.
- PerfectNumbers -- numbers equal to 1/2 the sum of their divisors (i.e. equal to the sum of all divisors of n except n itself).
- OddPerfectNumbers -- no one knows if these exist (exciting, eh?). I'm interested in doing work in this area. (RobinsonTryon)
- for anyone interested (at Dartmouth), I suggest that you take Math25. It's a great course. (RobinsonTryon)