The script will list all of your tables that don't have a primary key on them.
This is important to know, not only because the lack of primary keys affects performance and data accuracy in general.
select table_schema, table_name
from information_schema.columns
where table_schema = 'SCHEMA_NAME'
group by table_schema, table_name
having sum(if (column_key in ('PRI', 'UNI'), 1, 0)) = 0;