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Hey everyone, this is the third in a trilogy of videos with Grant Sanderson from 3Blue1Brown about sequences that dont necessarily do what youd expect. Links to the first two videos are on the screen and in the video description; you dont have to have watched them to understand this one but you may want to watch them to get the full experience. The way this is gonna work, um were gonna have a race between prime numbers, okay. And were going to have two different categories: those which are 1 mod 4, meaning when you divide by 4 they leave a remainder of 1, and those which are 3 mod 4. And were basically just going to count up the prime numbers. So the first one is 2, and 2 is disqualified from the race because its the oddest prime, it doesnt really fit into the pattern of the rest, its the only one thats even. Next uh weve got 3 and then the next one is 5 and then the next prime is 7. 7 is 3 above a multiple of 4; and then 11 is also 3 above a mul