Matches in DBpedia 2014 for { <http://dbpedia.org/resource/Second_Hardy–Littlewood_conjecture> ?p ?o. }
Showing items 1 to 14 of
14
with 100 items per page.
- Second_Hardy–Littlewood_conjecture abstract "In number theory, the second Hardy–Littlewood conjecture concerns the number of primes in intervals. If π(x) is the number of primes up to and including x then the conjecture states thatπ(x + y) ≤ π(x) + π(y)for x, y ≥ 2.This means that the number of primes from x + 1 to x + y is always less than or equal to the number of primes from 1 to y. This is probably false in general as it is inconsistent with the more likely first Hardy–Littlewood conjecture on prime k-tuples, but the first violation is likely to occur for very large values of x. For example, an admissible k-tuple (or prime constellation) of 447 primes can be found in an interval of y = 3159 integers, while π(3159) = 446. If the first Hardy–Littlewood conjecture holds, then the first such k-tuple is expected for x greater than 1.5 × 10174 but less than 2.2 × 101198.".
- Second_Hardy–Littlewood_conjecture wikiPageID "361598".
- Second_Hardy–Littlewood_conjecture wikiPageRevisionID "551044163".
- Second_Hardy–Littlewood_conjecture subject Category:Analytic_number_theory.
- Second_Hardy–Littlewood_conjecture subject Category:Conjectures_about_prime_numbers.
- Second_Hardy–Littlewood_conjecture comment "In number theory, the second Hardy–Littlewood conjecture concerns the number of primes in intervals. If π(x) is the number of primes up to and including x then the conjecture states thatπ(x + y) ≤ π(x) + π(y)for x, y ≥ 2.This means that the number of primes from x + 1 to x + y is always less than or equal to the number of primes from 1 to y.".
- Second_Hardy–Littlewood_conjecture label "Second Hardy–Littlewood conjecture".
- Second_Hardy–Littlewood_conjecture label "Seconde conjecture de Hardy-Littlewood".
- Second_Hardy–Littlewood_conjecture label "Вторая гипотеза Харди — Литлвуда".
- Second_Hardy–Littlewood_conjecture sameAs Second_Hardy%E2%80%93Littlewood_conjecture.
- Second_Hardy–Littlewood_conjecture sameAs Seconde_conjecture_de_Hardy-Littlewood.
- Second_Hardy–Littlewood_conjecture sameAs Q2920423.
- Second_Hardy–Littlewood_conjecture sameAs Q2920423.
- Second_Hardy–Littlewood_conjecture wasDerivedFrom Second_Hardy–Littlewood_conjecture?oldid=551044163.