Question: What was the population in the 2010 Census of a New York hamlet that is directly linked to Port Jefferson by New York State Route 347?

Context paragraphs:
Pamelia Center, New York: Pamelia Center is a hamlet and census-designated place in Jefferson County, New York, United States.  Its population was 264 as of the 2010 census.  The community is located at the junction of New York State Route 37 and New York State Route 342.

New York State Route 347: New York State Route 347 (NY 347) is an east–west state highway located in Suffolk County, New York, in the United States.  It connects the Northern State Parkway in Hauppauge to NY 25A in Mount Sinai.  The route serves as a southern bypass of Smithtown and as a direct link between Nesconset and Port Jefferson.  Along the way, NY 347 intersects NY 25 in Nesconset and Nicolls Road (County Route 97 or CR 97) in Lake Grove.  The westernmost 2 mi of NY 347 is concurrent with NY 454 while the portion northeast of NY 25 parallels NY 25A, which follows a more northerly alignment through the town of Brookhaven than NY 347.

Port Jefferson Branch: The Port Jefferson Branch is a rail line and service owned and operated by the Long Island Rail Road in the U.S. state of New York.  The branch splits from the Main Line just east of Hicksville and runs northeast and east to Port Jefferson.  Several stations on the Main Line west of Hicksville are served primarily by trains bound to/from the Port Jefferson branch, so LIRR maps and schedules for the public include that part of the Main Line in the "Port Jefferson Branch" service.

New York State Route 347 (disambiguation): New York State Route 347 is an east–west state highway in Suffolk County, New York, United States, that was established in 1966.

Port Jefferson (LIRR station): Port Jefferson is the terminus for the Port Jefferson Branch of the Long Island Rail Road.  The station is located on New York State Route 25A (Main Street), on the north side of the tracks, but is also accessible from Oakland Avenue (both of which are in the Village of Port Jefferson), as well as Railroad Avenue and Union Street on the south side of the tracks in Port Jefferson Station.  All service is diesel-only, and most off-peak trains are shuttles requiring a transfer to an electric train at Huntington or Hicksville.  This train station is located in the Brookhaven-Comsewogue Union Free School District.

York Hamlet, New York: York Hamlet is a hamlet and census-designated place in Livingston County, New York, United States.  Its population was 544 as of the 2010 census.  New York State Route 36 passes through the community.

Northern State Parkway: The Northern State Parkway (also known as the Northern State or Northern Parkway) is a 28.88 mi limited-access state parkway on Long Island in the U.S. state of New York.  The western terminus is at the Queens–Nassau County line, where the parkway continues westward into New York City as the Grand Central Parkway.  The eastern terminus is at New York State Route 347 (NY 347) and NY 454 in Hauppauge.  The parkway is designated New York State Route 908G (NY 908G), an unsigned reference route.  As its name implies, the parkway services communities along the northern half of the island.

Bicycle Path, Long Island: Bicycle Path is a historic road in Central Suffolk County on Long Island, New York, built in the late 19th Century in order to capitalize on the bicycle craze of that period.  It ran north and south from Patchogue to just east of Port Jefferson, lying mostly west of New York State Route 112, crossing it at Port Jefferson Road in Port Jefferson Station.

Nesconset, New York: Nesconset is a hamlet and census-designated place (CDP) in the town of Smithtown, located in Suffolk County, Long Island, New York, United States.  The population was 13,387 at the 2010 census.

New York State Route 112: New York State Route 112 (NY 112) is a state highway located entirely within the town of Brookhaven in Suffolk County, New York, in the United States.  It runs from an intersection with Montauk Highway (formerly part of NY 27A) in the village of Patchogue to a junction with NY 25A in Port Jefferson Station.  It is known locally as Medford Avenue in Patchogue and Patchogue Road in Terryville and Port Jefferson Station.  The official name for the road outside these areas is "Patchogue–Port Jefferson Road", though it is often signed simply as "Route 112".

Supporting paragraphs: New York State Route 347 Nesconset, New York
Answer: 13,387