Traditional conjectures about prime numbers

GUSTAVO FUNES, DAMIÁN GULICH, LEOPOLDO GARAVAGLIA AND MARIO GARAVAGLIA

La Plata, Buenos Aires

Congreso; Mathematics & Design; 2008

International Association of Mathematics & Design

We have reviewed some traditional conjectures such as Goldbach’s and Polignac’s basing them on hidden symmetries. We have established a new way of studying such conjectures in a graphical way. Copying Eratosthenes we introduce a sieve in the form of layers of prime multiples represented as binary bands. Those layers have a totally determined frequency and they are fully symmetric. By means of this method we will see that the position of prime numbers is far away from being random; on the contrary, it has a totally determined structure, at least not directly observed.