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Character error
When Don connects the bombs' locations on the bridge to form the G major scale, he adds a sharp after the top note, saying he paid attention in piano lessons. The sharp always comes before the note (to the immediate left) in music.
When David calls Don to say that Granger isn't picking up the phone, you see him driving down a street. A few minutes later, you see him driving down the same street, in front of the same store fronts, as the previous shot.
When David is calling Don to say Granger isn't picking up the phone, there are headlights close in his rear window. On the external shots, there are no cars behind him.
It is impossible for anyone to use a pulse oximeter (the numbers Taylor Ashby repeats by tapping the numbers on the screen) to show particular numbers. A pulse oximeter measures the amount of oxygen in the blood and is therefore not controllable by tapping.
Charlie's at the hospital and realizes the beeping is actually a code. He shouts, "I need a pen, who has a pen?" In any other situation, he'd be handed a standard ball-point pen. But Charlie receives a white, bold, felt-tip marker, which was perfect for writing on the glass window of the hospital room.
The American flag flying at the military prison has only 48 stars.
At the bridge, Granger suggests scaling the bridge to find out the network the cell phones are connected. But during several shots within the van, including while they are discussing this, there are high-res close-ups of the bombs on the video screens. Though they aren't showing the phones, they easily could have.
During the cold opening when Charlie is asked the wheat and chessboard problem by Taylor Ashby he gives the answer of 18,446,744,073,799,551,615. The actual answer is 18,446,744,073,709,551,616. Later on, when Charlie is in the hospital with Ashby, he writes down the correct answer on the window.
When Don connects the bombs' locations on the bridge to form the G major scale, he adds a sharp after the top note, saying he paid attention in piano lessons. The sharp always comes before the note (to the immediate left) in music.