The official Far Cry Primal system requirements have been revealed on Steam's product page. As you can see below, they're not far beyond the ones of Far Cry 4 even though Ubisoft dropped PlayStation 3 and Xbox 360 for Primal.
MINIMUM (Primal):
OS: Windows 7, Windows 8.1, Windows 10 (64-bit versions only)
Processor: Intel Core i3-550 | AMD Phenom II X4 955 or equivalent
Memory: 4 GB RAM
Graphics: NVIDIA GeForce GTX 460 (1GB VRAM) | AMD Radeon HD 5770 (1GB VRAM) or equivalent
Storage: 20 GB available space
Additional Notes: Windows-compatible keyboard, mouse, optional controller
For comparison, these were the ones of Far Cry 4:
MINIMUM (Far Cry 4):
Supported OS: Windows 7 SP1, Windows 8/8.1 (64-bit versions only)
Processor: Intel Core i5-750 @ 2.6 GHz or AMD Phenom II X4 955 @ 3.2 GHz
Memory: 4GB
Video Card: Nvidia GeForce GTX 460 or AMD Radeon HD5850 (1GB VRAM)
Direct X: Version 11
Hard Drive: 30 GB available space
The recommended Far Cry Primal system requirements, however, do feature a leap for the Intel CPU and NVIDIA GPU.
RECOMMENDED (Primal):
OS: Windows 7, Windows 8.1, Windows 10 (64-bit versions only)
Processor: Intel Core i7-2600K | AMD FX-8350 or equivalent
Memory: 8 GB RAM
Graphics: NVIDIA GeForce GTX 780 | AMD Radeon R9 280X or equivalent
Storage: 20 GB available space
Far Cry 4's, for comparison:
RECOMMENDED (Far Cry 4):
Supported OS: MS Windows 7 SP1, MS Windows 8/8.1 (64-bit versions only)
Processor: Intel Core i5-2400S @ 2.5 GHz or AMD FX-8350 @ 4.0 GHz or better
Memory: 8GB
Video Card: Nvidia GeForce GTX 680 or AMD Radeon R9 290X or better (2GB VRAM)
Direct X: Version 11
Hard Drive: 30 GB available space
Sound Card: DirectX 9.0c compatible sound card with latest drivers
Far Cry Primal is due for release on February 23 for PlayStation 4/Xbox One and March 1 for PC.
Unlike previous games in the franchise, it will be single player only. You can find out why in a developer's own words, reported three days ago.