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Well, many serial killers are indeed seeking attention. Largely because these killers enjoy spreading fear and feeling powerful; they crave fame. It's a well-known fact. For example, you can look at Zodiac; his letters alone are worth something.

But he's a prime example of someone seeking attention; he even killed with a firearm instead of a knife – that's where the thrill lies. But there are so many other, and much more famous, examples of serial killers who didn't want fame. Even in our country.