These forums are locked and archived, but all topics have been migrated to the new forum. You can search for this topic on the new forum: Search for Please extend the forum login from 1 day to 1 week. on the new forum.
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This has been a bit annoying for me too, although technically the "remember me" applies to the username, not the password. The cookie does appear to keep the username indefinitely, but the password token expires after one day.
This may be hard-coded into the current forum module, but Joe has expressed plans to migrate the entire site to Joomla soon, so there may be more flexibility (possibly even a user-configurable option) in the future.