Adams vs President Adams

Adams and President Adams both are nouns.

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

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

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

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

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

Adams and President Adams: 6th President of the United States; son of John Adams (1767-1848)

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

Adams (noun)	President Adams (noun)
a mountain peak in southwestern Washington in the Cascade Range (12,307 feet high)	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)
6th President of the United States; son of John Adams (1767-1848)
American Revolutionary leader and patriot; an organizer of the Boston Tea Party and signer of the Declaration of Independence (1722-1803)