President Adams vs John Adams

President Adams and John Adams both are nouns.

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

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

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

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

President Adams (noun)	John Adams (noun)
2nd President of the United States (1735-1826)	2nd President of the United States (1735-1826)
6th President of the United States; son of John Adams (1767-1848)