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District	Incumbent	Party	First elected	Result	Candidates
New Hampshire at-large 5 seats on a general ticket	Silas Betton	Federalist	1802	Incumbent re-elected.	√ Samuel Tenney (Federalist) 10.4% √ David Hough (Federalist) 10.4% √ Thomas W. Thompson (Federalist) 10.4% √ Silas Betton (Federalist) 10.4% √ Caleb Ellis (Federalist) 10.4% Nahum Parker (Democratic-Republican) 9.7% Ezra Bartlett (Democratic-Republican) 9.6% Thomas Cogswell (Democratic-Republican) 9.6% Clement Storer (Democratic-Republican) 9.6% Jedediah K. Smith (Democratic-Republican) 9.6%
	Samuel Hunt	Federalist	1802	Incumbent retired. New member elected. Federalist hold.
	Samuel Tenney	Federalist	1800	Incumbent re-elected.
	David Hough	Federalist	1802	Incumbent re-elected.
	Clifton Clagett	Federalist	1802	Incumbent retired. New member elected. Federalist hold.

1804 United States House of Representatives election in New Hampshire