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Nazg, please note that Indigo is talking about the OEM version of the processor, which doesn't come with a cooler. Although, I would personally go for a slightly weaker processor and a more powerful graphics card. I think a Core i5-8400 in the BOX version would be sufficient. And they can even be overclocked with the stock cooler.
P.S. In my opinion, the Core 2 Duo E8400 is one of the best (if not the best) processors in the mid-price range. Excellent performance for games and work, some potential for the future, relatively low temperatures, and a great price/performance ratio.