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
Louis Mordell
surface form: Mordell conjecture
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