Hi Mike. You are running stateful NAT, (stateful Network Address
Translation on your modem/router,) right?  Also, your modem/router
should not be responding to ping(1)/icmp/ident packets since you do
not allow remote/external access. Might try:

    https://www.grc.com/x/ne.dll?bh0bkyd2

for starters to find out, (or better, nmap(1) if you have access to an
external shell account.)

    John

Mike McClain writes:
>     I must admit to being surprised at the quantity of attempts to
> hack into my computer. It only took a couple of days before I started
> rotating those logs to keep the size down. I'm getting from 20,000 to
> over a million hits a day on a computer that's only online 3-4 hours a
> day and often much less.
>
.
.
.
> 
> I suspect I'm not the only one who is interested in this exploration
> and hope some of you can share tips to carry it further.
> 

-- 

John Conover, cono...@rahul.net, http://www.johncon.com/

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