All guns from that early doesnt have a serial number since serial numbers weren't introduced until 1968 when the gca (gun control act) took effect. The only way to trace the gun is through the month and year it was manufactured. Remington models have a small letter written infron of two bigger letters on the barrel. Mine has a small c and two big Y's. The c represents the month it was made using the following code B L A C K P O W D E R X
B represents January, l represents February, a represents April and so on. I'll attach a link to the info I found.
htt ps: //ww w.remingtonsociety .org/manufacture-dates/
Early 1913
Early 1912
With the serial number that you have provided,your Remington model 1903A3 was made in the year 1942.The first serial number assigned to this rifle was serial number 3,348,086,So as you can see yours was made early on in World War II.
Early 1914
Early 1911
Early 1911
Serial number 3273324 regards an early war (1941) built Remington Model 1903 Service Rifle, in caliber 30-06. Remington 1903A3 productions did not begin until 1942 dated to serial number 3348086 and higher.
Early 1911, probably January.
Serial #s started @ 4200? Yours is early 70's
Early 1909
To determine the age of a Remington Model Sportsman with the serial number 773769, you would typically refer to Remington's serial number lookup resources or historical production records. The Model Sportsman was produced from 1939 to 1962, so the serial number indicates that it was likely manufactured in the early 1950s. For an exact year, consulting a detailed Remington reference guide or contacting Remington directly would provide the most accurate information.
OH on the barrel? that's not the serial. If it's early probably July 1961.