If your modem is actually a modem (lots of people confusingly call a modem/router combo as just a "modem") and you are paying for exactly one internet connection (as most residential customers do) then you will get only one public IP address. And maybe none if you are trying to get multiple ones by connecting multiple devices to the modem.
If you do not want to use a router check with your ISP to see if you can purchase multiple connections (get multiple public IP addresses). You may have to switch to a business account to do so.
If you do not want to use a router check with your ISP to see if you can purchase multiple connections (get multiple public IP addresses). You may have to switch to a business account to do so.