Somebody's scanning my ports or what?

[Arcady Genkin <genkin@sympatico.ca>]

Hi all:

To continue my new Linux user paranoia, I have just noticed in
xconsole that someone's been trying to connect to every port from port 
2 thru 1024. It looks like this:

Apr 27 20:03:09 main tcplogd: tcpmux connection attempt from unknown@cpu.adsl.bellglobal.com [206.47.37.4]
Apr 27 20:03:09 main tcplogd: port 2 connection attempt from unknown@cpu.adsl.bellglobal.com [206.47.37.4]
Apr 27 20:03:09 main tcplogd: port 3 connection attempt from unknown@cpu.adsl.bellglobal.com [206.47.37.4]
Apr 27 20:03:09 main tcplogd: port 4 connection attempt from unknown@cpu.adsl.bellglobal.com [206.47.37.4]
...
...
Apr 27 20:08:13 main tcplogd: port 1024 connection attempt from unknown@cpu.adsl.bellglobal.com [206.47.37.4]

This one was the last. Bellglobal is my ISP provider, and I'm
connected via ADSL modem. In between these messages sometimes there
are the following (I guess that's when existing service was found):

Apr 27 20:03:46 main in.telnetd[7141]: connect from cpu.adsl.bellglobal.com
Apr 27 20:04:34 main in.ftpd[7145]: connect from cpu.adsl.bellglobal.com

Is this within frames of acceptable. I feel like complaining, but
don't want to look like an idiot. :)

Any comments highly appreciated!
-- 
Arcady Genkin
"I opened up my wallet, and it's full of blood..." - GsYDE