Hidden symmetries among primes

GUSTAVO FUNES, DAMIAN GULICH, LEOPOLDO GARAVAGLIA AND MARIO GARAVAGLIA

Buenos Aires

Congreso; Art and Science – 2007 – Form and Symmetry; 2007

Sociedad de Estudios Morfológicos de la Argentina (SEMA)

We have established a new way of studying simple mathematical problems 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. Finally we will see that some unsolved problems like Goldbach conjecture and related ones, are based in hidden symmetries to be proved.