Maintenance or modification of Nikkors is suitable for the "Nerds" board.
You definitively need a set of JIS screw drivers. Standard Philips drivers can easily rip or damage the screw heads when the screws are tight. Use only JIS drivers and press hard, then first try to slightly tighten the screw further before you flick the driver in the opposite direction.
You might want to soak the mount by a solvent such as hexane overnight before next try, even with the proper JIS tools.
Microtools.com is a good source for JIS screw drivers.
Early Nikkors can really be a tough challenge. Often the loctite bonding has almost petrified after decades. If soaking doesn't suffice, try putting the lens in the deep freezer over night, then immediately apply heating with the tip of a narrow solder iron.
Last resort is using a small hammer to make sure the screw driver is well and truly stuck in the slots, then apply lateral torque. Or use a narrow drill bit 1-1.5 mm in a solid chuck and drill out the screw. Be warned this should be done with the drill in a jig not hand-holding it, as the screws can be *very* hard and unless you do this carefully, the drill bit can easily skid off the target and cause a lot of damage in the mount itself.