Following up on svrist's answer, depending on your shell, the 2>&1 should go after > /dev/null or you will still see the output from stderr.
Următoarele vor tăcea atât pe stdout, cât și pe stderr:
59 23 * * * /usr/sbin/myscript > /dev/null 2>&1
Următoarele zgomote stdout, dar stderr va apărea încă (prin stdout):
59 23 * * * /usr/sbin/myscript 2>&1 > /dev/null
The Advanced Bash Scripting Guide's chapter on IO redirection is a good reference--search for 2>&1 to see a couple of examples.