Nope, not correct, private ip is LAN ip, public ip can be dynamic or static ip, most likely dynamic as static will cost a lot extra.

So what is the different? Private ip, u can only use it in your network, u can't access any computer on the net with private ip, example is 192.168.0.1 or 10.0.0.1 are private. Public ip is the ip that u expose something to the Internet, most likely your router ip, in this case u can't put the public ip direct to your pc, that's port forwarding comes in, when data arrived at certain port by public ip, will be redirected into your network which using private ip. Your router will have both public and private ip.

In older days where ppl dial 1511 or 1515 using modem, your pc is directly expose to the Internet that means your pc got both public and private ip. That time, u don't need port forwarding, u just need to open a port on firewall for incoming connection.

Lol I hope u aren't confused by static dynamic public and private.

Static is fixed, that means u cut power unlimited times and reconnect unlimited time, u get the same ip, dynamic just all random. So if you own 123.123.123.123, u always get that number, u need to pay for static ip and they are expensive and will be more and more expensive. Normal Internet user get dynamic ip, each time they connect, they get different number. What is the different? If u have fix, u can host things, ppl know you are 123.123.123.123, ppl can directly find you. If dynamic, u tell your ip to somebody, the next time your router reboot or reconnect u get different, your old ip goes to somebody else. Check www.whatismyip.com

Private is internal ip, public is external, u cannot choose to have no public ip as others unable to send to your router, and u cannot choose to have no internal as your router unable to talk to you. So u don't have a choice, your data will use internal ip(LAN) until your gateway which also means your router, and your data will be using public ip to get out from the router, when responded by whatever server, they will use your public ip back to your router, and your router will use private ip(LAN) back to you.

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Added on June 14, 2012, 11:48 pmTo know your private or LAN ip type ipconfig in command prompt. To know your public ip just access www.whatismyip.com. And your 1st post is wrong. When u are have Internet connection means u got public ip d. And when the u got a router, that means u got a LAN. Missing any, u can't access Internet.

This post has been edited by narf03: Jun 14 2012, 11:49 PM

im not sure what is minecraft server, but most servers out there, they use static or fixed ip, that is the most convenience or the easiest way, ppl know your ip and will never wrongly connect to somebody else.

and yes about no-ip, basically u got random ip, and u post your ramdom ip to a server with a fixed ip, and bind your new ip to something, ie UserID 2265 is always you, when u get a new ip, u tell no-ip.com which is using a fixed ip, and u tell them im user 2265, i have a new public ip now, which is .... and no-ip will record that, whoever wants to connect to you, will go no-ip and ask, where is User 2265 now, no-ip will tell them your new public ip. then others will know your latest public ip, they dont have to know your private ip, your router need to know, thats why its private. so connection will be made directly to your router, to certain port, and u should already configured when connection comes to whatever port, goto whatever internal ip(or lan ip or private, whatever term u like).

log in your router by using its ip, u will notice it has both internal and external, we call something like this a gateway, others cannot directly go to your pc without going through this. and u can log in your router with more than just 1 ip, if you allows admin login from WAN(or public), normally default only allow LAN.

the reason why ppl call WAN ip as public, is this number is unique in the internet, u cant have 2 same public ip. and private ip is private business, u can have your ip, i can have mine, they can be the same, as long as each pc ip in my network is unique, all works fine.

Lol I'm a programmer and if I don't get these clear, I'll lose my job real soon =p