Please see my previous post:Hi,
I still experience the issue even in 184.108.40.206 with the new phpmyadmin 4.0.5
To update, it's been determined that this is a flaw with phpMyAdmin itself:
phpMyAdmin / Bugs / #4046 Exporting huge Tables causes memory-Problems
The workaround will be to continue to export the database through the command line or by downloading the database in cPanel until phpMyAdmin has issued a resolution for this bug. Case 75085 will ensure a notice is placed in phpMyAdmin informing users that exporting large databases may fail.