Being 'close' to serial numbers listed in Springfield Research Services Data means nothing.

In fact, a number being close to documented numbers, but not listed, pretty much guaranties that the rifle had a different service history than the documented guns.

FWIW - Many Dealers and Internet Sellers seem unsure and nervous about the 'antique firearm' 1898 cutoff date.
They insist on treating antique (pre-1898) gun sales the same as modern arms. 
A FFL Holder is used to broker the transaction and document the sale, (on BATF Forms and telephoned FBI authorization).