KnowraPrime gapsLinked fromLinked fromThe 18 pages that link to Prime gaps, each with the reason it gives.All 18Related 17Narrower topic 1Prime number theoremRelated: The theorem implies that the average gap near x is on the scale of log x.Prime-counting functionRelated: Changes in π(x) encode how many primes fit between successive values.Twin prime conjectureRelated: Twin primes are consecutive primes whose gap is two, apart from the pair 2 and 3.Sieve of EratosthenesRelated: The ordered survivors of a sieve expose the gaps between consecutive primes.Bertrand's postulateRelated: Bertrand's bound limits how large a prime-free interval can be in a particular range.Green–Tao theoremRelated: Progressions of primes impose structured gaps, but do not resolve how small consecutive gaps can be.Hardy–Littlewood conjecturesRelated: The prime-pair conjecture predicts the frequency of each fixed even gap.Integer sequenceRelated: This integer sequence has unresolved questions about the size and frequency of its gaps.Elliott–Halberstam conjectureNarrower topic: The conjecture would strengthen tools for bounding unusually small prime gaps.Legendre's conjectureRelated: A prime gap spanning a pair of consecutive squares would violate the conjecture.Sophie Germain primeRelated: The defining pair has a gap of p, linking the concept to prime-spacing questions.Twin primeRelated: A twin-prime pair consists of consecutive primes whose gap is 2.Brun–Titchmarsh theoremRelated: Brun’s early sieve work on prime gaps helped establish the methods behind the theorem.Brun's theoremRelated: Twin primes are prime gaps of size two, whose frequency the theorem constrains.Bonse's inequalityRelated: The next prime's distance from pₙ affects how demanding the square bound is.Brocard's conjectureRelated: The conjecture asks how many primes occur across a gap between squared endpoints.Catalan–Mersenne conjectureRelated: The conjecture concerns primes in an exceptionally sparse, rapidly growing sequence.Grimm's conjectureRelated: Large gaps and clustering influence how prime divisors are distributed across neighboring integers.
KnowraPrime gapsLinked fromLinked fromThe 18 pages that link to Prime gaps, each with the reason it gives.All 18Related 17Narrower topic 1Prime number theoremRelated: The theorem implies that the average gap near x is on the scale of log x.Prime-counting functionRelated: Changes in π(x) encode how many primes fit between successive values.Twin prime conjectureRelated: Twin primes are consecutive primes whose gap is two, apart from the pair 2 and 3.Sieve of EratosthenesRelated: The ordered survivors of a sieve expose the gaps between consecutive primes.Bertrand's postulateRelated: Bertrand's bound limits how large a prime-free interval can be in a particular range.Green–Tao theoremRelated: Progressions of primes impose structured gaps, but do not resolve how small consecutive gaps can be.Hardy–Littlewood conjecturesRelated: The prime-pair conjecture predicts the frequency of each fixed even gap.Integer sequenceRelated: This integer sequence has unresolved questions about the size and frequency of its gaps.Elliott–Halberstam conjectureNarrower topic: The conjecture would strengthen tools for bounding unusually small prime gaps.Legendre's conjectureRelated: A prime gap spanning a pair of consecutive squares would violate the conjecture.Sophie Germain primeRelated: The defining pair has a gap of p, linking the concept to prime-spacing questions.Twin primeRelated: A twin-prime pair consists of consecutive primes whose gap is 2.Brun–Titchmarsh theoremRelated: Brun’s early sieve work on prime gaps helped establish the methods behind the theorem.Brun's theoremRelated: Twin primes are prime gaps of size two, whose frequency the theorem constrains.Bonse's inequalityRelated: The next prime's distance from pₙ affects how demanding the square bound is.Brocard's conjectureRelated: The conjecture asks how many primes occur across a gap between squared endpoints.Catalan–Mersenne conjectureRelated: The conjecture concerns primes in an exceptionally sparse, rapidly growing sequence.Grimm's conjectureRelated: Large gaps and clustering influence how prime divisors are distributed across neighboring integers.