Will an overclocked core2duo be held back by lesser RAM?

Bojangle12

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Feb 10, 2014
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I was thinking of buying an Intel Core 2 Duo E8600 (3.33GHz) for a PC that I have. But the memory I have now is 4gb of DDR2 1066MHz G. Skill. I heard these c2d chips can be overclocked to like 4-5 GHz. But I was thinking there is no point since there is only 4gb of ram. What do you think?