Brun’s constant for prime quadruplets


Brun’s constant for prime quadrupletsMathworldPlanetmath is the sum of the reciprocals of all prime quadruplets

B4=pp+2 is primep+6 is primep+8 is prime(1p+1p+2+1p+6+1p+8)0.8705883800.

Viggo Brun proved that the constant exists by using a new sieving method, which later became known as Brun’s sieve (http://planetmath.org/BrunsPureSieve).

Title Brun’s constant for prime quadruplets
Canonical name BrunsConstantForPrimeQuadruplets
Date of creation 2013-03-22 16:06:23
Last modified on 2013-03-22 16:06:23
Owner PrimeFan (13766)
Last modified by PrimeFan (13766)
Numerical id 4
Author PrimeFan (13766)
Entry type Definition
Classification msc 11N05
Classification msc 11N36
Synonym Brun’s constant for prime quadruples
Synonym Brun’s constant for prime quartets