One of the better tools for stress testing a processor is the Mersenne prime number search tool, known as prime95. Download the appropriate tool for your platform (you do not actually need to create an account). Extract the prime95.exe executable and launch it. When prompted, select "Just Stress Testing,"
The "blend" torture test is sufficient for most purposes.
After starting the test, prime95 will report any errors encountered and a blue screen during stress testing may also indicate failure. If the blue screen is tied to a single core, it may be possible to disable the problem core through the BIOS and re-run the test successfully (but the system will not have the full number of processor cores being used). Otherwise, it is a good idea to replace the processor that is encountering problems.
0x124 WHEA_UNCORRECTABLE_ERROR - WinDbg/KD - Debugging a Processor Cache Issue
Identifying Cooling Issues
Troubleshooting Memory Errors
General Windows Crash Dump Analysis
Stress Testing a Video Card
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