The quality of being conjecturable.

(mathematics) A conjecture in the theory of minimal surfaces, stating that the shape that encloses and separates two given volumes and has the minimum possible surface area is a "standard double bubble": three spherical surfaces meeting at angles of 2π/3 on a common circle.

A conjecture within holography that posits a quantitative relationship between the entanglement entropy of a conformal field theory and the geometry of an associated anti-de Sitter spacetime.

(number theory) The conjecture that, for any positive even number n, there are infinitely many prime gaps of size n.

(number theory) A conjecture about the distribution of prime numbers in arithmetic progressions, having many applications in sieve theory.

(number theory) The conjecture that, for a finite set of linear forms a₁ + b₁n, a₂ + b₂n, ..., aₖ + bₖn with bᵢ ≥ 1, there are infinitely many positive integers n for which they are all prime, unless there is a congruence condition preventing this.

The property of being conjectural.

(philosophy) The belief that intentionally supposing that a proposition is true is a good reason to believe that proposition in the absence of evidence of its falsehood.

In a conjecturing manner.

(number theory) A conjecture relating to the conductor and the discriminant of an elliptic curve, equivalent in a slightly modified form to the abc conjecture.