Simultaneous visualization of the number of prime numbers and of the G(Pi(x)) function during the verification of the Proth-Gilbreath Conjecture [Visualisation simultanée du nombre de nombres premiers et de la fonction G(Pi(x)) lors la vérification de la conjecture de Proth-Gilbreath].




This picture is related to the G(Pi(1014))=693 record on october 5 2025 at 20:59:18.

The horizontal and vertical axes display respectively the number of prime numbers inside [604318805,1110663057] and the the values of the G(Pi(x)) function inside [333,693]. Then each point displays the G(Pi(x)) function related to a certain number of prime numbers when the colors are visualizing the identity of the five computing servers. The fact that the five colors do not overlap is due to the fact that the five servers do not have the same workload ie. do not compute the same numbers of prime numbers.

The points seem sparse in the plane, but do not forget that the horizontal axis is [604318805,1110663057] when it should be [0,1110663057].


[Plus d'informations à propos de la conjecture de Gilbreath -en français/in french-]
[More information about the Gilbreath Conjecture -in english/en anglais-]


(CMAP28 WWW site: this page was created on 10/28/2025 and last updated on 10/29/2025 13:41:33 -CET-)



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