I'M 75 percent positive this is wrong. But on wikipedia it says the 737-700 has a range of 5,510 NM This trip is around 5,000 miles.
[edit]http://www.airliners.net/photo/PrivatAir-(KLM--/Boeing-737-7AK-BBJ/1704627/&sid=8ddae75c18c0676dae7c5372f7a880cf[/edit]
[edit]So nevermind about this post.
