President John Adams vs John Adams

President John Adams and John Adams both are nouns.

Word	Noun	Adjective	Verb	Adverb
President John Adams	Yes	No	No	No
John Adams	Yes	No	No	No

As nouns, President John Adams and John Adams are synonyms defined as:

President John Adams and John Adams: 2nd President of the United States (1735-1826)

Other synonyms of President John Adams include Adams, President Adams.

President John Adams (noun)	John Adams (noun)
2nd President of the United States (1735-1826)	2nd President of the United States (1735-1826)