So reports AP Obama here:
The potential cuts would be from a current treaty limit of 1,550 deployed strategic warheads.
A level of 300 deployed strategic nuclear weapons would take the U.S. back to levels not seen since 1950 when the nation was ramping up production in an arms race with the Soviet Union. The U.S. numbers peaked at above 12,000 in the late 1980s and first dropped below 5,000 in 2003. ...
The U.S. already is on track to reduce to 1,550 deployed strategic nuclear warheads by 2018, as required by New START. As of last Sept. 1, the United States had 1,790 warheads and Russia had 1,566, according to treaty-mandated reports by each. The treaty does not bar either country from cutting below 1,550 on their own.