On 8.6.2014 I received a call from this number, too. No caller ID. I did not answer and no message was left. Interestingly, I had recently been on the phone with Blue Cross/Blue Shield, as "scamfighter" stated the caller represented themselves, when spoken with.
Got this call the day after talking to BCBS of MT. We belong to a five state BCBS. Sadly, IL is part of it. Not interested in them: Don't call me, I'll call you BCBS.
I spoke with BCBS yesterday and received a call today from this number but no message was left. I did not answer call because I did not recognize the number.
I received a call from them before bed time and didn't answer. I had a not very nice call to BCBS earlier in the day where they for the third time this year (all different dr.'s) had managed to bill as an out of network provider for one that was in network. Not sure how they are connected but seem to be. I know I opted out of the survey for BCBS so maybe they can't get that right either,
I spoke with BCBS customer service yesterday and I received a call from this number at 4:06 pm mountain time today. This is very disturbing. I did not answer the call today because the phone number showed from Illinois and I do not know anyone who lives there.