Your Remington model 1903 was made in the year 1941,with the serial number that you have provided.
Your Remington 1903-A3 was made by Remington in 1942.
With the serial number that you have supplied,your Remington model 1903 rifle was made in the year 1941.
The original Remington was made in 1903 October 1943.
1941
It would be june of 1942
October 1942.
A chart/pdf of the 1903/1903a serial codes is post on the Remington Society of America. http://remingtonsociety.com/rsa/questions/barrelcodes
Without more information - range of value from 300-900.
Depending on condition 300-700
The Remington Model 1903 with serial number 3172768 was manufactured in 1942. This model is part of the M1903 Springfield rifle series used by the U.S. military during World War II. The production of these rifles by Remington began in 1941 and continued into the war years.
Your Remington model 1903-A3 was made in the year 1942.It was chambered in the caliber 30-06.
Your springfield model 1903 was made by springfield amory in 1918.The serial number you provided does not correspond with the other 2 makers of springfield rifles,rock island and remington.