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number-theory
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Questions about the whole numbers, easy to state and often centuries old. The primes sit at the center: how they are spaced, how they add, and what the zeros of the zeta function say about them.
Mathematics Subject Classification: 11.
Problems
- Riemann hypothesis (open)
- Twin prime conjecture (open)
- Bounded gaps between primes (solved)
- Goldbach's conjecture (open)
- Weak Goldbach conjecture (solved)
- abc conjecture (open)
- Collatz conjecture (open)
- Fermat's Last Theorem (solved)
- Catalan's conjecture (solved)
- Birch and Swinnerton-Dyer conjecture (open)
Part of Mathematics.