The Proth-Gilbreath Conjecture -display of the process for the 512 prime numbers following 613247...- (La conjecture de Proth-Gilbreath -visualisation du processus pour les 512 nombres premiers suivant 613247...-) {a chapter of 'Mathematics - A Virtual Instrument For Exploring Space Time And Beyond'}

The Proth-Gilbreath Conjecture -display of the process for the 512 prime numbers following 613247...- [La conjecture de Proth-Gilbreath -visualisation du processus pour les 512 nombres premiers suivant 613247...-].

This picture displays the process for the 1024 prime numbers following 613247327866031 (that is close to the G(Pi(6.150*10¹⁴))=800 record) -top row of the picture- with the following colors regarding the numbers:

when all other numbers -{3,4,5,6,7,8,...}- are Grey (Dark and Light Grey respectively for the negative and positive numbers).

According to the Proth-Gilbreath Conjecture, when the first prime number used (the smallest one) is 2, the left-hand side column must be Orange ('-1' or '+1') except the upper square that is Light Green ('+2', the first prime number).

See some related pictures (including this one):