mathematical conjecture

C11421
concept

A mathematical conjecture is a proposed statement or proposition, based on observed patterns or partial evidence, that is believed to be true but has not yet been rigorously proven or disproven.

All labels observed (19)

Label Occurrences
mathematical conjecture canonical 51
unsolved problem in number theory 4
open problem in mathematics 3

Description generation (CDg)

The one-sentence description above was generated by prompting gpt-5.1 with the class name and this instruction.

Instruction
generate a one-sentence description for a given conceptual class.
# Response Format
Return only the sentence: "Description: [one-sentence description of the conceptional class]"
Input
Class: mathematical conjecture
Generated description
A mathematical conjecture is a proposed statement or proposition, based on observed patterns or partial evidence, that is believed to be true but has not yet been rigorously proven or disproven.

Instances (58)

Instance Via concept surface
Painlevé conjecture in celestial mechanics scientific conjecture
Hardy–Littlewood conjectures —
Poincaré conjecture —
continuum hypothesis mathematical hypothesis
Mordell conjecture
linked to: Louis Mordell
—
Hodge Conjecture —
Yang–Mills existence and mass gap problem open problem in mathematical physics
Birch and Swinnerton-Dyer Conjecture —
Navier–Stokes existence and smoothness problem open problem in mathematics
cosmic censorship conjecture conjecture
Serre’s conjecture on Galois representations —
geometrization conjecture —
generalized Riemann hypothesis —
Hilbert–Pólya conjecture —
Montgomery's pair correlation conjecture —
Conway's thrackle conjecture —
Connes embedding problem —
Ramanujan–Petersson conjecture —
Goldbach conjecture —
Bateman–Horn conjecture —
twin prime conjecture —
Riemann hypothesis —
Lindelöf hypothesis —
Taniyama–Shimura–Weil conjecture —
Beal conjecture —
abc conjecture —
Artin’s conjecture on L-functions —
Strominger–Yau–Zaslow conjecture —
Erdős discrepancy problem open problem in mathematics
Erdős–Turán conjecture —
Erdős–Straus conjecture —
Erdős–Moser equation unsolved problem in number theory
Montonen–Olive duality duality conjecture
Bombieri–Lang conjecture —
Alon–Tarsi conjecture —
Pólya’s conjecture —
Arnold conjecture —
Volume conjecture —
Monstrous Moonshine conjecture —
Hopf conjecture (on Euler characteristic and curvature) —
Tate Conjecture —
Standard Conjectures on Algebraic Cycles —
Beilinson conjectures —
Legendre’s conjecture on primes between consecutive squares —
Zassenhaus conjecture —
Stark conjectures —
reciprocity conjecture —
Fontaine–Mazur conjecture —
Segal conjecture —
Calabi conjecture —