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Thanks in advance.
This seems like a very simplistic statement to me - Google's spam filtering procedures are complicated. Think about how brand sites will mention a brand name very frequently (e.g. Yahoo will mention Yahoo many more than 5 times on their homepage).
Also, can you clarify where these 5 mentions are supposed to be? The keywords meta elements? Anywhere?
It's certainly possible to trigger penalties and filters with particular formulations of text, but there's no number of words that represents a particular threshold.
The question to me was how many keywords can the <meta name="Keywords" content="" /> tag contain, I have always used between 20 and 30 but I have a customer who has been told that any more than 5 will get the major search engines to treat the site in a spam like way. I really have thoughts that this tag does not have too much effect on the search engines these days and carefully constructed page names are more efficient.
You may find the below discussion useful, as it closely relates to your question:
Are repeated meta keywords duplicate content?