Try using Linux-Kernel-3.10.4 stable. In order to perform the installation and upgrade, you will need to download three important files.
32-bit
Download these three files if you are on a 32-bit Linux Mint operating system.
linux-headers-3.10.4-031004-generic_3.10.4-031004.201307282043_i386.deb
linux-headers-3.10.4-031004_3.10.4-031004.201307282043_all.deb
linux-image-3.10.4-031004-generic_3.10.4-031004.201307282043_i386.deb
64-bit
Download these three files if you are on a 64-bit Linux Mint operating system.
linux-headers-3.10.4-031004-generic_3.10.4-031004.201307282043_amd64.deb
linux-headers-3.10.4-031004_3.10.4-031004.201307282043_all.deb
linux-image-3.10.4-031004-generic_3.10.4-031004.201307282043_amd64.deb