12

23

36

49

3

6

9

12

36

54

72

90

6

28

496

8128

Every integer greater than 1 can be expressed as a product of prime numbers.

Every integer greater than 1 can be expressed as a sum of prime numbers.

Every integer greater than 1 can be expressed as a difference of prime numbers.

Every integer greater than 1 can be expressed as a quotient of prime numbers.

Every even integer greater than 2 can be expressed as the sum of two prime numbers.

Every odd integer greater than 3 can be expressed as the sum of two prime numbers.

Every integer greater than 1 can be expressed as the sum of two prime numbers.

Every integer greater than 2 can be expressed as the sum of two prime numbers.

The Riemann hypothesis is a conjecture that the Riemann zeta function has its zeros only at negative even integers and complex numbers with real part 1/2.

The Riemann hypothesis is a conjecture that the Riemann zeta function has its zeros only at negative odd integers and complex numbers with real part 1/2.

The Riemann hypothesis is a conjecture that the Riemann zeta function has its zeros only at positive even integers and complex numbers with real part 1/2.

The Riemann hypothesis is a conjecture that the Riemann zeta function has its zeros only at positive odd integers and complex numbers with real part 1/2.

The abc conjecture is a conjecture that for any positive integers a, b, and c such that a + b = c, there exists a positive integer d such that abc = d^3.

The abc conjecture is a conjecture that for any positive integers a, b, and c such that a + b = c, there exists a positive integer d such that abc = d^2.

The abc conjecture is a conjecture that for any positive integers a, b, and c such that a + b = c, there exists a positive integer d such that abc = d^4.

The abc conjecture is a conjecture that for any positive integers a, b, and c such that a + b = c, there exists a positive integer d such that abc = d^5.

The Birch and Swinnerton-Dyer conjecture is a conjecture that for any elliptic curve over a rational number field, the order of the group of rational points on the curve is equal to the product of the numerator and denominator of the L-function of the curve at 1.

The Birch and Swinnerton-Dyer conjecture is a conjecture that for any elliptic curve over a rational number field, the order of the group of rational points on the curve is equal to the product of the numerator and denominator of the L-function of the curve at 2.

The Birch and Swinnerton-Dyer conjecture is a conjecture that for any elliptic curve over a rational number field, the order of the group of rational points on the curve is equal to the product of the numerator and denominator of the L-function of the curve at 3.

The Birch and Swinnerton-Dyer conjecture is a conjecture that for any elliptic curve over a rational number field, the order of the group of rational points on the curve is equal to the product of the numerator and denominator of the L-function of the curve at 4.

The modularity theorem is a theorem that states that every elliptic curve over a rational number field is modular.

The modularity theorem is a theorem that states that every elliptic curve over a rational number field is not modular.

The modularity theorem is a theorem that states that every elliptic curve over a rational number field is sometimes modular.

The modularity theorem is a theorem that states that every elliptic curve over a rational number field is never modular.

The Langlands program is a program that aims to unify number theory and representation theory.

The Langlands program is a program that aims to unify number theory and algebraic geometry.

The Langlands program is a program that aims to unify number theory and topology.

The Langlands program is a program that aims to unify number theory and analysis.

The Atiyah-Singer index theorem is a theorem that relates the index of an elliptic operator on a compact manifold to the topological invariants of the manifold.

The Atiyah-Singer index theorem is a theorem that relates the index of an elliptic operator on a non-compact manifold to the topological invariants of the manifold.

The Atiyah-Singer index theorem is a theorem that relates the index of an elliptic operator on a compact manifold to the geometric invariants of the manifold.

The Atiyah-Singer index theorem is a theorem that relates the index of an elliptic operator on a non-compact manifold to the geometric invariants of the manifold.

The Chern-Simons theory is a topological quantum field theory that is used to study three-dimensional manifolds.

The Chern-Simons theory is a topological quantum field theory that is used to study four-dimensional manifolds.

The Chern-Simons theory is a topological quantum field theory that is used to study five-dimensional manifolds.

The Chern-Simons theory is a topological quantum field theory that is used to study six-dimensional manifolds.

The Donaldson-Thomas theory is a theory that is used to study the moduli space of instantons on a four-dimensional manifold.

The Donaldson-Thomas theory is a theory that is used to study the moduli space of instantons on a three-dimensional manifold.

The Donaldson-Thomas theory is a theory that is used to study the moduli space of instantons on a five-dimensional manifold.

The Donaldson-Thomas theory is a theory that is used to study the moduli space of instantons on a six-dimensional manifold.