Hidden structure in the randomness of the prime number sequence?
Ares, Saul ; Castro, Mario
arXiv, 0310148 / Harvested from arXiv
Text on arXiv
We report a rigorous theory to show the origin of the unexpected periodic behavior seen in the consecutive differences between prime numbers. We also check numerically our findings to ensure that they hold for finite sequences of primes, that would eventually appear in applications. Finally, our theory allows us to link with three different but important topics: the Hardy-Littlewood conjecture, the statistical mechanics of spin systems, and the celebrated Sierpinski fractal.
Publié le : 2003-10-07
Classification:  Condensed Matter - Statistical Mechanics,  Mathematical Physics,  Mathematics - Number Theory 
@article{0310148,
     author = {Ares, Saul and Castro, Mario},
     title = {Hidden structure in the randomness of the prime number sequence?},
     journal = {arXiv},
     volume = {2003},
     number = {0},
     year = {2003},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0310148}
}

Ares, Saul; Castro, Mario. Hidden structure in the randomness of the prime number sequence?. arXiv, Tome 2003 (2003) no. 0, . http://gdmltest.u-ga.fr/item/0310148/