Package temperature above threshold, cpu clock throttled

Solution 1:

You said:

I had cpu cooling (fan) but it went kaput :(

This is why you are having this problem. Your CPU is overheating; these messages are warning you that the system is throttling down in order to prevent permanent physical damage to the system.

I generally expect a Core i7 desktop CPU running under full load to be somewhere around 75-80 degrees Celsius. At around 95-100, thermal throttling kicks in. If it gets significantly above that, the computer will power itself off without warning in an attempt to prevent permanent damage.

The proper thing to do is to replace the CPU fan. Replacement OEM fan/heatsink combos can be had on eBay for less than $20; or you may want to invest a little more cash in something better if you intend to overclock, or run lots of these computations. A better fan may run quieter for the same CPU temperatures, or may cool the CPU more effectively allowing for overclocking, or both.

Ignoring this message, you will eventually destroy your CPU or lose significant amounts of performance or both.

Solution 2:

I have no knowledge about possibility for turning off such warnings, but I'd like to point out, that actually - your kernel needs to lower your CPU frequency because of constant overheating. It's not a warning about high temperature 10 degrees before the yellow light would light on. I'd recommend you to try to get better cpu/mainboard cooling - otherwise your hardware can get seriously damaged in not so long period of time.
Although it's not a way to switch off the warnings completely: you can pipe the output of the program to a file and later use less or watch with cat/tail to see the newest results without the warnings.