British Airways has summer flights from Boston, New York JFK and Washington Dulles IAD to Stockholm, Sweden ARN as low as $489 round trip for early August departures and $526 in July peak summer season from IAD or $565 from New York JFK. These fares are also available from BWI and DCA in conjunction with AA flights to New York JFK.
Gothenburg, Sweden GOT is even a few dollars less than Stockholm.
British Airways Washington IAD – London LHR – Stockholm, Sweden ARN – London LHR – IAD
$525.68 round trip Wed July 19 – Thu July 27
British Airways New York JFK – London LHR – Stockholm, Sweden ARN – London LHR – New York JFK
$506.68 round trip Sat August 12 – Sun August 20
British Airways Boston BOS – London LHR – Stockholm, Sweden ARN – London LHR – Boston BOS
$488.68 round trip Sat Aug 12 – Mon Aug 21
Loyalty Traveler curated Airfare Deals and Google Flights and Kayak Explore tutorials.