The number of connections permitted is controlled by the max_connections system variable. How to modify max_connections value:
/etc/init.d/mysqld stop
mysqld_safe -O max_connections=1000 &
mysqladmin variables -u admin -ppassword | grep max_connections
or into /etc/my.cnf under the [mysqld] section add:
max_connections = 500
or log in mysql as root and execute:
SET GLOBAL max_connections = 500;
and restart MySQL:
/etc/init.d/mysqld start
Reference:dev.mysql.com