in.telnetd[5115] -- compromised?

/* Linux Slackware */

looking in my logs I see tons of entries similar to below. Does anyone know what these mean, and should I be concerned. I looked up a few of the IP's at Arin.net and saw that many of them belong to isp's (not good).. Any information is helpful..

Body of Messages log
----------------------------

Jun 29 09:06:30 gateway profgpd[5155]:connect from 212.120.97.36

Jun 29 06:11:37 gateway in.telnetd[5102]: connect from root@66.115.18.3

Jul 1 03:07:58 gateway proftpd[5477]: connect from 209.87.230.226

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gut feeling is that I have been compromised... am I right??

e0-

It is very possible that you have been
compromised. First, shut off telnet and ftp!!!
Next, check out:

...and following these procedures, you should
be able to determine the level of compromise
(if any). A word of advise... never, never,
never leave telnet or ftp (among other things)
open on a system that is connected to the
internet.