Hi,
1. Prime95 can test CPU/RAM functionality but it doesn't do anything to prove your main HDD/SSD is fine or whether you have any corrupted software or compatibility issues causing crashing.
2. Prime95 can cause a system that's prone to overheat to crash right away. In fact, it's mainly a tool I use as a worst-case scenario for overheating.
3. Other testing:
a) HDD/SSD diagnostics from drive manufacturer
b) CPU diagnostics (not sure if Prime95 tests everything). Not sure about AMD, but for INTEL:
https://downloadcenter.intel.com/download/19792/Intel-Processor-Diagnostic-Tool-64-bit-
c) Game benchmark in a loop (since that stresses the GPU as well as CPU)
Summary:
If you run Memtest, CPU diagnostics like Prime95/Intel, a game benchmark in a loop (like 3DMark2001 which you can find for free), and test the HDD/SSD then it's likely your HARDWARE is fine though that's not 100% proof.
*Thus, at that point unfortunately I'd be recommending reinstalling Windows, though you may wish to consider upgrading to Windows 10.
**Windows 10 is however still new and has some freezing issues for many people of its own. If your crashing is not frequent and you are considering W10 then I'd wait a few more weeks.
W10 and drivers:
a) Video driver: check this immediately (AMD, NVidia, Intel as appropriate)
*WARNING: If you use two GPU's (such as an Intel iGPU + NVidia GPU) and thus need a tool like NVidia Optimus I'm not certain how that works in terms or upgrading.
b) Other: IR (remote) and Card Reader drivers are other drivers that often don't work. Basically test everything on your laptop. In some cases using the Windows 8 or 7 drivers (or even Vista) will work.
c) Intel whatever - install the Intel driver tool from Intel's support site and run it
d) REALTEK audio - go to Realtek's site and navigate to the appropriate software and install. Likely your audio works fine but this is almost always a newer version which may fix some issues.
Other testing:
Burn an Ubuntu or similar DVD and run direct from DVD (do not install). If that never crashes then you can guess that your Windows issue is either SOFTWARE related or the physical HDD/SSD it's installed to.