Are they systematically scanning a range of ports?
Or are they scanning selected ports?
In the case of selected ports, you need to determine if that is a 'port of concern' or are they simply pinging your machine(s) to establish your availability to receive content?
They will have much less luck if you are behind a router. I was (at one point) seeing over 100 pings a day from my DSL ISP on my software firewall related to availability and IP lease logistics.
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