Category
page 1Conjectures about prime numbers
Goldbach's conjecture
Conjecture that every even integer greater than 2 is the sum of two primes
Landau's problems
four basic unsolved problems about prime numbers: Goldbach’s conjecture; twin prime conjecture; Legendre’s conjecture; whether there are infinitely many primes of the form 𝑛²+1
Goldbach's weak conjecture
conjecture about prime numbers
Legendre's conjecture
conjecture that there is a prime between any two square numbers
Andrica's conjecture
conjecture
Brocard's conjecture
conjecture
Legendre's constant
the number 1, as occurring in a formula conjectured by Legendre
Oppermann's conjecture
Gilbreath's conjecture
conjecture on the pattern of forward differences of the sequence of prime numbers
Pólya conjecture
disproved conjecture in number theory
Agoh–Giuga conjecture
number theory conjecture
Cramér's conjecture
conjecture
Mersenne conjectures
mathematical conjectures about Mersenne primes
Bunyakovsky conjecture
conjecture that gives a criterion for a univariate integer-coefficient polynomial to give infinitely many prime values
Artin's conjecture on primitive roots
in numbers theory, a given integer a which is not a perfect square and not −1 is a primitive root modulo infinitely many primes p
Firoozbakht’s conjecture
bound on the gaps between prime numbers
Lemoine's conjecture
conjecture that any odd integer >5 equals an odd prime plus an even semiprime
Second Hardy–Littlewood conjecture
conjecture about prime numbers
Elliott–Halberstam conjecture
on the distribution of prime numbers in arithmetic progressions
Hilbert–Pólya conjecture
Mathematical conjecture about the Riemann zeta function.
Polignac's conjecture
conjecture in number theory involving prime gaps
Schinzel's hypothesis H
number theory conjecture that, for any finite set of nonconstant irreducible integer polynomials with positive leading coefficients, either they are simultaneously prime infinitely often, or else a fixed divisor always divides at least one of them
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Chinese hypothesis
the false conjecture that a positive integer 𝑛 is prime iff 𝑛 divides 2ⁿ−2
Dickson's conjecture
Conjecture about prime numbers
Grimm's conjecture
Prime number conjecture
Bateman–Horn conjecture
conjecture in number theory
First Hardy–Littlewood conjecture
conjecture about prime constellations
Waring's prime number conjecture