# Number theory

- kind: region

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](/wiki/Problem:riemann-hypothesis.md) (open)
- [Twin prime conjecture](/wiki/Problem:twin-prime-conjecture.md) (open)
- [Bounded gaps between primes](/wiki/Problem:bounded-prime-gaps.md) (solved)
- [Goldbach's conjecture](/wiki/Problem:goldbach-conjecture.md) (open)
- [Weak Goldbach conjecture](/wiki/Problem:weak-goldbach.md) (solved)
- [abc conjecture](/wiki/Problem:abc-conjecture.md) (open)
- [Collatz conjecture](/wiki/Problem:collatz-conjecture.md) (open)
- [Fermat's Last Theorem](/wiki/Problem:fermats-last-theorem.md) (solved)
- [Catalan's conjecture](/wiki/Problem:catalan-conjecture.md) (solved)
- [Birch and Swinnerton-Dyer conjecture](/wiki/Problem:birch-swinnerton-dyer.md) (open)

Part of [Mathematics](/wiki/Continent:mathematics.md).

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