AVirtualMachineForExploringSpaceTimeAndBeyond : The Proth-Gilbreath Conjecture -partial display of the process for the 512 prime numbers following 613247...- (La conjecture de Proth-Gilbreath -visualisation partielle du processus pour les 512 nombres premiers suivant 613247...-).

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

This picture displays the process for the 512 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 Red (the red luminance is an increasing function of these numbers)...

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

On the second top line, please note the Light Yellow ('2') squares -if any- that display the second member of the twin prime number couples.

See some related pictures (including this one):