MySQL: Select row by id, CHANGE id, and insert it into another table

I have two tables, A and B.

I'd like to select a row from B based on it's Primary Key, alter the primar开发者_如何转开发y key to a different value, and then insert this row into A.

Something like this:

INSERT INTO A SELECT id, title, date FROM B WHERE B.id="4" UPDATE B SET id="5";

Is there a solution for this?

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INSERT INTO A(id, title, date)
SELECT 5 AS id, title, date FROM B WHERE B.id="4";
#      ^--- here is the trick

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Maybe something like

insert into a (select id as "new_id", title, date from b where b.id="4")