Welcome to the S&W Forum. Congratulations. The Model 41 is a fine .22 semi-auto pistol.
The SCSW (Standard Catalog of Smith & Wesson) 4th edition lists:
1954 - serial # starts at 1001
1970 - serial # goes up to 115000
A reasonable guess for 71XXX might be about mid 1960's?
The best way to be most certain of the date of a S&W product is to request "a letter" which is another subject/post in itself.
Hopefully members of the Forum will be able to provide serial numbers and dates either side of your serial number to help hone in on the date of your Model 1941.
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Scoundrel & Ne'er-Do-Well
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