Space · region

Number theory

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.

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