Seeking help from WP experts...

I'd like to customize the category.php in my theme so that it displays 5 posts per page.

I'd like to display the very latest post in the current category as a full article while the older posts displayed as linked titles below it.

One page 2 (onwards), I'd like it to simply just list the linked titles (i.e. from the 6th post onwards).

Any help - pseudo or actual code - would be most appreciated.

Thanks in advance for any help.