for each CUDA Toolkit version in any specific OS there is minimum required driver version
For reference, on linux, the previous CUDA toolkits required the following minimum driver versions:
CUDA 9.2: 396.xx
CUDA 9.1: 387.xx
CUDA 9.0: 384.xx
CUDA 8.0 375.xx (GA2)
CUDA 8.0: 367.4x
CUDA 7.5: 352.xx
CUDA 7.0: 346.xx
CUDA 6.5: 340.xx
CUDA 6.0: 331.xx
CUDA 5.5: 319.xx
CUDA 5.0: 304.xx
CUDA 4.2: 295.41
CUDA 4.1: 285.05.33
CUDA 4.0: 270.41.19
CUDA 3.2: 260.19.26
CUDA 3.1: 256.40
CUDA 3.0: 195.36.15
Nvidia decided to add a table to the release notes in which the driver versions are determined. Here is the link from Nvidia documentation for Cuda version 9.2.88 and here is the screenshot:
references:
nvidia.com Driver Download Page
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