Assuming u r asking for Linux Mint 14, flavor called "Nadia"(latest one)and here is the minimum requirements.....
1.32 bit PAE (Physical Address Extension i.e a technology which allows 32
bit OS to use up to 64 GB of memory (RAM), something which is normally
achieved by switching to a 64 bit system) enabled x86 processor or a
64-bit x86 processor.
2. 512 MB RAM (u can increase, if u r expensive)
3. 5 GB of disk space (u can increase, if u r expensive)
4. Graphics card capable of 800×600 resolution (also depends on ur kind
of monitor)
5. And last but not least CD / DVD drive or USB port for smooth and
hackle free installation.