Update primary key value using entity framework

You can't and for good reason. See KM comments.

One thing I say you could do is have two tables one with anonymous data and one that stores the the real user data after they log in.

Or your could (not tested or ever done by me) is have this kind of table layout:

---Customers----
AutoNumber PK <- This links to all other tables in your database, and does NOT change.
CustomerID  <- This can change.
CustomerType <- Anonymous or logged in.  

And when they log in you change the CustomerType and CustomerID to what you need.

So your query could look like this:

Dim customer As Customer = (From c In db.Customer _
                            Where c.CustomerID = {Some temp ID} _
                            AndAlso c. CustomerType = "Anonymous").FirstOrDefault
// After user logs in.
customer.CustomerID = {Make a new user ID here}
customer.CustomerType = "LoggedIn" {or what ever}
db.SaveChanges()

Note that the autonumber primary key never changes. This is so that any tables that you have in a relationship with the Customers table still work and don't have to do cascading updates on the primary key (which is like stabbing yourself in the eye with a pencil).