Continuity mistake: When the school principal shows the poster with the IQ requirements for regular schooling to Forrest's mother, the grip on his pencil changes back and forth in shots from the front and from behind. (00:07:50)
Continuity mistake: Before young Forrest's foot gets trapped in the sewer, a black car in the back is moving towards him, and is about to make a right turn. Close-up on Forrest's foot and, when back to the wide angle, the same black car is further back again and repeats the previous movements.
Continuity mistake: The first shot from above with the floating feather is mostly overcast. Shortly afterwards, after the feather lands and the lady walks up, the sun is coming from the left into the plaza.
Continuity mistake: Young Forrest is about to step in the bus. He says to the bus driver, "My name's Forrest, Forrest Gump." That moment we have a back view of the bus driver's head and she exhales a big puff of smoke. A split second after we cut back to a front view of her and there's no smoke, instead she immediately exhales the smoke again.
Continuity mistake: In the scene where Jenny is adjusting Forrest's tie before their wedding, a man wearing a brown jacket can be seen on the porch behind them. Then in the next shot when Forrest sees Lt. Dan approaching, the man is gone. (02:00:20)
Continuity mistake: During College, when Forrest first visits Jenny in her "all girls school". Jenny shows her breasts to Forrest and lets him touch her. When she hurries and puts on her bra, her right bra strap is twisted. When the camera pans away the bra strap is straight again.
Continuity mistake: When Forrest was running in the first football scene, it shows cheerleaders and a couple of football players on the sidelines, then the next scene in closer view of Forrest running it shows the same cheerleaders and players in the same exact spot as if Forrest ran that same part of the field again. (00:22:15)
Continuity mistake: When Forrest and Bubba meet Lieutenant Dan for the very first time the sun changes between shots.
Continuity mistake: When Forrest is in Vietnam and they are all under attack in that little bunker, pay attention to Lt. Dan. In one shot there is a gun behind him, but a few shots later it is gone. (00:47:45)
Continuity mistake: When Forrest comes home after being discharged from the army, his mother greets him outside and it's overcast. The shadows on the ground are very faint. But in the shot from inside the house, it's suddenly sunny outside and the shadows are very dark.
Continuity mistake: In the scene where Lt. Dan thanks Forrest for saving his life and "makes his peace with God", before he jumps overboard off the shrimp boat, the water is flat calm. In the next shot when he does jump and is doing the backstroke, the water is slightly choppy or rippled.
Continuity mistake: In Washington, when Forrest runs to meet with Jenny he runs between the same people twice. Check the man on the right with the black top hat and a violet ribbon.
Continuity mistake: When Forrest Gump stops running, the road has paved shoulders. In the close-up, the shoulders are all weeds.
Continuity mistake: When Forrest meets Jenny at his house, Forrest stands up with the lawn partially mowed. After he hugs Jenny and the camera is on him it shows the path of grass completely mowed. The grass changes between mowed and unmowed a few times. (01:44:34 - 01:45:12)
Continuity mistake: When Lt. Dan shows up to be Forrest's first mate, he is smoking a cigar. From one angle the cigar has more ash than the next.
Answer: Johnson refers to Lyndon Johnson, the US President.
William Bergquist