The telephone keeps calling and does not leave a voicemail.  No business or company information associated with the telephone number.

Is for Careers Advice Center and uses a variety of local phone numbers. When asked the person said that I could contact them at 203-424-0335. This is a nuisance because job seekers are going to answer local numbers. I've asked numerous times to be put on their do not call list but keep getting calls anyway.

They get your number from a job search engine, JobSearch.co that, to get information on a job, you need to say "yes" to a yes or no question "are you over 18 and agree to the sites terms.

Then,  "By checking "yes", By checking "yes", I consent to be contacted regarding educational and other opportunities at the phone number provided, including mobile number, using an automated telephone dialing system. I may be contacted by online-edu-help.com, Career School Advisors, Degree Match, Education Direct, Academic Advisors, AcademicDegrees.net, EdSoup, myFootpath LLC., Edegree, College Support Services and/or Jobpay regardless of being on a federal or state do not call list. This is a separate optional offer for education. Consent is not required as a condition of using this service.

Consent is not required? I found no other way to access the job than my clicking yes.

Annoying continuous cold calling. Carrier advisors. I have told them numerous times to take me off their list and they keep calling from different numbers.

Yes, this is correct. Career training offers, due to registration on jobsites.

They have called me for months.  They ask me if I want to go to school.,  I tell them, No.  They ask me well, if you could go back to school, what would you want to study?  I told them Nothing.  They still keep asking.  I tell them there's no point in discussing this with me and to take me off their list.  They never do.  They have called me since September and it's December.  I guess they'll continue to call.