The distance -an even number- between consecutive prime numbers displayed by means of increasing luminance colors [La distance -un nombre pair- entre les nombres premiers consécutifs visualisée à l'aide de couleurs à luminance croissante].

Each point of the horizontal axis displays a prime number P (from P=2 -left- to P=28657 -right-). The length of each vertical segment is proportional to the difference D between the related prime number P and its right neighbour (the first prime number greater than P). The so-called twin prime numbers are couples {P,P+2} (D=2).

See some related pictures (including this one):


(CMAP28 WWW site: this page was created on 12/02/2013 and last updated on 04/26/2015 12:25:11 -CEST-)

[See all related pictures (including this one) [Voir toutes les images associées (incluant celle-ci)]]

[Please visit the related NumberTheory picture gallery [Visitez la galerie d'images NumberTheory associée]]
[Go back to AVirtualMachineForExploringSpaceTimeAndBeyond [Retour à AVirtualMachineForExploringSpaceTimeAndBeyond]]
[The Y2K bug [Le bug de l'an 2000]]

[Site Map, Help and Search [Plan du Site, Aide et Recherche]]
[Mail [Courrier]]
[About Pictures and Animations [A Propos des Images et des Animations]]

Copyright (c) Jean-François Colonna, 2013-2015.
Copyright (c) CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / Ecole Polytechnique, 2013-2015.