[SOLVED] Are all Intel stock coolers the same?

Feb 4, 2019
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Hello all,
I am planning on upgrading from a Pentium G4560 to a Core i5-9600K. The i5 did not come with a cooler. Assuming I won't be overclocking, would the Pentium's included stock cooler provide adequate cooling for the i5, or should I invest in an aftermarket cooler?