SN's are available at the Browning website.
X95029
Browning never used the letter B prefix to there serial numbers.
Every Browning has a serial number on it. The location depends on the model.
Serial numbers allow for dating when produced.
All Brownings have serial numbers.
The serial number is on the receiver.
The letter "k" is not used by Browning in serial numbers.
Check the receiver.
I would go to browning .com.They have a link to serial numbers on the sight that should help you.
Comparison to known serial numbers.
Made since 1924. SN's can be found on the Browning website.