Is this Ubuntu kernel version vulnerable to dirty cow? [closed]

I am attempting to escalate privileges on a CTF Ubuntu box but I am afraid to run dirty cow due to possible crash is this kernel version vulnerable to the exploit:

Linux ip- 3.13.0-162-generic #212-Ubuntu SMP Mon Oct 29 12:08:50 UTC 2018 x86_64 x86_64 x86_64 GNU/Linux?

The Ubuntu version is Ubuntu 14.04

Dirty cow documentation shows Ubuntu 14 versions < 3.13.0-100.147 are vulnerable although I am confused as to if this version is vulnerable and want to be somewhat positive before running it on the CTF / CapturetheFlag machine.