Going through all the Chief of Ordnance Reports, an effort was made to get the exact number built. And.........can't get there from here. Explained below:

Year ending 6/30/1894:  2,951 rifles manufactured

Year ending 6/30/1895:  14,491 rifles manufactured

Year ending 6/30/1896:  10,535 rifles; 7,111 carbines; 404 cadets manufactured

Year ending 6/30/1897:  28,899 rifles; 2,930 carbines manufactured

Year ending 6/30/1898:  29,556 rifles; 12,022 carbines manufactured

Year ending 6/30/1899:  88,150 rifles; 5,923 carbines were SHIPPED Here lies a problem. Shipped versus manufactured are likely not the same.

But carrying on...........

Year ending 6/30/1900:  54,701 rifles; 5,150 carbines manufactured

Year ending 6/30/1901:  59,400 rifles and carbines manufactured (the number was combined)

Year ending 6/30/1902:  43,246 rifles; twenty thousand carbines manufactured (20,000 seems not to be an exact figure)

Year ending 6/30/1903:  61,838 rifles (model of 1898) manufactured

Year ending 6/30/1904:  47,927 magazine rifles were manufactured. This would likely include both model of 1898 and model of 1903 as the 1898 was made into November 1903. It was not separated out. Another number that is not exact enough.

Insufficient data. But I tried. :'(