A special election was held in New Jersey's at-large congressional district on October 8, 1821 to fill a vacancy caused by the death of John Linn (DR) on January 5, 1821, prior to the start of the 17th Congress.
Election results
Condict took his seat with the rest of New Jersey's delegation at the start of the 1st session of the 17th Congress.
References
New Jersey's at-large congressional district special election, 1821 Wikipedia(Text) CC BY-SA