conjecture in number theory

C11422
concept

A conjecture in number theory is an unproven but plausibly true statement about the properties or relationships of integers, often motivated by patterns, partial results, or computational evidence.

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All labels observed (8)

Label Occurrences
conjecture in number theory canonical 8
number theory conjecture 3
unproven hypothesis in number theory 2

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: conjecture in number theory
Generated description
A conjecture in number theory is an unproven but plausibly true statement about the properties or relationships of integers, often motivated by patterns, partial results, or computational evidence.

Instances (19)

Instance Via concept surface
Serre’s conjecture on Galois representations —
generalized Riemann hypothesis —
Hilbert–Pólya conjecture unproven idea in number theory
Montgomery's pair correlation conjecture number theory conjecture
Ramanujan–Petersson conjecture —
Bateman–Horn conjecture unproven statement in number theory
Riemann hypothesis —
Lindelöf hypothesis conjecture in analytic number theory
Taniyama–Shimura–Weil conjecture precursor of the modularity theorem
Artin’s conjecture on L-functions unproven hypothesis in number theory
Bombieri–Lang conjecture —
Pólya’s conjecture number theory conjecture
Legendre’s conjecture on primes between consecutive squares unproven statement in number theory
Sato–Tate distribution (for families of elliptic curves) —
Stark conjectures conjecture in algebraic number theory
reciprocity conjecture —
Fontaine–Mazur conjecture —
GRH number theory conjecture
grand Riemann hypothesis unproven hypothesis in number theory