Mostrare che esistono infiniti interi positivi $n$ tali che
\[ \sigma(n)<\sigma(n+2012)<\sigma(n+4024) \]
dove $\sigma(m):=\sum_{d\mid m}{d}$.
$\sigma(n)<\sigma(n+2012)<\sigma(n+4024)$
$\sigma(n)<\sigma(n+2012)<\sigma(n+4024)$
The only goal of science is the honor of the human spirit.