prime difference function

The prime difference functionMathworldPlanetmath is an arithmetic function for any positive integer n, denoted as dn and gives the differencePlanetmathPlanetmath between two consecutive primes pn and pn+1:


For example:

  • d1=p2-p1=3-2=1,

  • d10=p11-p10=31-29=2,

  • d100=p101-p100=547-541=6,

  • d1000=p1001-p1000=7927-7919=8,

  • d10000=p10001-p10000=104743-104729=14 and so forth.

The first few values of dn for n=1,2,3, are 1,2,2,4,2,4,2,4,6,2,6,4,2,4,6,6,2,6,4,2, ( njas/sequencesMathworldPlanetmath/eisA.cgi?Anum=001223OEIS A001223).

Title prime difference function
Canonical name PrimeDifferenceFunction
Date of creation 2013-03-22 12:49:16
Last modified on 2013-03-22 12:49:16
Owner XJamRastafire (349)
Last modified by XJamRastafire (349)
Numerical id 6
Author XJamRastafire (349)
Entry type Definition
Classification msc 11N05
Classification msc 11A25
Classification msc 11A41