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Resolution status records whether a conjecture has actually been settled. Wikipedia notes that "as of 2026, the Poincare conjecture is the only Millennium Prize Problem with a verified solution," making its resolved status genuinely rare among famous open problems. This dimension separates conjectures that have been proven from those still standing open.

Facts

Comparison

Era Of Emergence

1800 BCE 1

Open

46 entries

Branch

Proposed

Posed By

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

Brocard's 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

Schanuel's Conjecture

Schinzel's Hypothesis H

Second Hardy-Littlewood Conjecture

Serre's Conjecture II

Szpiro's Conjecture

Twin Prime Conjecture