I found on the web site below, that a 336 Marlin with the serial number that begins with a "P", was manufactured in 1957. http://oldguns.net/cgi-bin/f2f/f2f.pl?http://oldguns.net/q&a1_05.htm
Usually on the bottom tang, underneath the lever. Some later 39a's have it on the top tang, behind the hammer.
Should date to 1983. First two digits (17) from 2,000=1983
Serial number records for Marlins built after 1906 are not recorded. At WWI Marlin Firearms Co. was sold, and again after WWI, so serial numbers were started over, with prefix letters. Your gun could be from anywhere between 1922, and 1935, but with the B prefix, and tang marking of "Model 1893", I'd guesstimate it to be in the earlier part of that range.
The serial number by itself doesn't identify a specific model.
No. In fact, I can't find any model 336 Marlins made prior to 1948. There should be a one or two letter code if it was manufactured between 1948 and 1968. I believe a Marlin with a serial number starting with 24 was made in 1976, but can't find my reference for that right now. I believe 1976 is the correct year. Here is a web site that I have used to get manufacture dates for my Marlin. http://oldguns.net/cgi-bin/f2f/f2f.pl?http://oldguns.net/q&a1_05.htm
please include the model number,then you might get a answer.
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