prime quadruplet

A prime quadrupletMathworldPlanetmath is a set of four prime numbersMathworldPlanetmath, p,p+2,p+6,p+8. In most cases, p+4 is a multipleMathworldPlanetmath of 15. The only quadruplet for which this is not the case is 5, 7, 11, 13, which overlaps with the quadruplet 11, 13, 17, 19. Sometimes 2, 3, 5, 7 is referred to as a prime quadruplet.

If the twin prime conjectureMathworldPlanetmath is ever proven it is possible that it might neither prove nor disprove the prime quadruplet conjecture.

The sum of the reciprocals of the members of the prime quadruplets is Brun’s constant for prime quadruplets, B40.87058838.

Title prime quadruplet
Canonical name PrimeQuadruplet
Date of creation 2013-03-22 16:03:02
Last modified on 2013-03-22 16:03:02
Owner PrimeFan (13766)
Last modified by PrimeFan (13766)
Numerical id 7
Author PrimeFan (13766)
Entry type Definition
Classification msc 11N05
Synonym prime quadruple
Synonym prime quartet