Crysis 3's miminum system requirements are the following: 2.8 GHz dual core processor, Intel Core 2 Duo or AMD Phenom X2 or better, 2GB of RAM, DriectX 10 graphics card with 1GB RAM, Nvidia 400-series or AMD Radeon 5000-series, Windows Vist, Direct 9c sound card and 16 GB of free hard drive.

The recommended system requirements for Crysis 3 include the following: 2.4 GHz quad-core processor, Intel Core i5 or better, 2GB of RAM for 32-bit operating systems, 4GB of RAM for 64-bit operating systems, DirectX 11 compatabile video card with 1GB RAM, Windows 7 (64-bit is recommended), Direct 9C sound card and 16 GB of free hard drive space.

Not sure how credible this source is but any confirmation cry-someone?
Source: http://www.idigitaltimes.com/articles/10747/20120810/crysis-3-cryteks-cryengine-perfect-game-engine.htm

Allow me to quote Crytek:

If it's not here, it's not true