There are 15 U.S. Presidents who are verifiable members of Freemasonry. They are:
James Monroe
Andrew Jackson
James K. Polk
James Buchanan
Andrew Johnson
James Garfield
William McKinley
William H. Taft
Warren G. Harding
Harry S. Truman
Lyndon Johnson
Gerald Ford
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Out of 44 I would guess over half I know Washington, Jefferson, Madison, Adams, were all Masons and so was Ford ( I have seen his signature in my lodge Masonic bible) Clinton, FDR, Wilson, Eisenhower , Taft, not sure about Lincoln or Johnson, but LBJ was. Don't think Kennedy was.. Many of the Congress rituals are Masonic based and the Capital has a Masonic cornerstone.
16. My husband did a picture for his Lodge of all the presidents who were Masons and it was 16 total.
The Masons claim 14 presidents as certified members.
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Two
There hasn't been any presidents from Rhode Island, yet.
The first five presidents established many of the protocols and precedents practiced today. Without them, many of these practices would have been quite different.
There are several. Check the link for related questions
No US presidents were named Nathaniel.