k-tuple conjecture

GPTKB entity

Statements (22)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:alsoKnownAs gptkb:prime_k-tuple_conjecture
gptkbp:field number theory
gptkbp:formedBy gptkb:Paul_Erdős
Alfred James Kemp
gptkbp:generalizes gptkb:prime_quadruplet_conjecture
gptkb:twin_prime_conjecture
prime triplet conjecture
https://www.w3.org/2000/01/rdf-schema#label k-tuple conjecture
gptkbp:implies infinitude of twin primes
infinitude of prime quadruplets
infinitude of prime triplets
gptkbp:relatedTo gptkb:Hardy–Littlewood_conjecture
prime numbers
admissible k-tuple
gptkbp:seeAlso gptkb:Polignac's_conjecture
gptkb:Goldbach's_conjecture
gptkbp:state Every admissible k-tuple occurs infinitely often as a pattern of prime numbers.
gptkbp:status unproven
gptkbp:yearProposed 1923
gptkbp:bfsParent gptkb:prime_k-tuple_conjecture
gptkbp:bfsLayer 8