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All Number Theory

Open conjectures about the integers and their properties: primes, divisibility, and equations with no known proof either way. Belongs here: number-theoretic conjectures such as the twin prime or Goldbach conjectures. Does not belong here: conjectures already proved, which are filed under the Theorems category instead.

Facts

Comparison

Era Of Emergence

1800 BCE 1

All Number Theory

50 entries

Branch

Proposed

Posed By

Resolution Status

Resolved Year

ABC Conjecture

Agoh-Giuga Conjecture

Agrawal's Conjecture

Andrica's Conjecture

Artin's Conjecture on Primitive Roots

Bateman-Horn Conjecture

Beal Conjecture

Beal's Conjecture

Birch and Swinnerton-Dyer Conjecture

Birch-Tate Conjecture

Brocard's Conjecture

Brumer-Stark Conjecture

Bunyakovsky Conjecture

Carmichael's Totient Function Conjecture

Collatz Conjecture

Cramer's Conjecture

Elliott-Halberstam Conjecture

Erdos Conjecture on Arithmetic Progressions

Erdos-Straus Conjecture

Feit-Thompson Conjecture

Fermat-Catalan Conjecture

Firoozbakht's Conjecture

Fortune's Conjecture

Four Exponentials Conjecture

Gauss Circle Problem

Gilbreath's Conjecture

Goldbach Conjecture

Goormaghtigh Conjecture

Grimm's Conjecture

Hall's Conjecture

Kummer-Vandiver Conjecture

Legendre's Conjecture

Lehmer's Conjecture

Lemoine's Conjecture

Leopoldt's Conjecture

Littlewood Conjecture

Montgomery's Pair Correlation Conjecture

N Conjecture

Oppermann's Conjecture

Polignac's Conjecture

Riemann Hypothesis

Rudin's Conjecture

Sato-Tate Conjecture

Schanuel's Conjecture

Schinzel's Hypothesis H

Second Hardy-Littlewood Conjecture

Serre's Conjecture II

Stark Conjectures

Szpiro's Conjecture

Twin Prime Conjecture