I have just finished the test of it with Prime95 and the temperature difference between them was merely ONE degree as long as the temperature was above 31C. Hence, I think that the odd temp difference mentioned is due to the bad temp sensor of Core#1 which can't detect any temp below 31C.
BTW, do you think that I will be able to get a replacement for this issue?
Thank you guys!
The sensoprs are not for accurate temperature readings. They are for thermal shutoff safety. They will not replace it as it works exactly as it is supposed to (that being at high temeratures). The error in the things is very very large at idle.