Today is a Fibonacci day! Earlier I said that 2 consecutive Fibonacci numbers are relatively prime. Now I know why!
Take a Fibonacci number, and square it. Then, separately, take product of the one before it and the one after it.
These two numbers will differ by exactly 1. Try it!!
Sequence: 0,1,1,2,3,5,8,13,21,...
1*1 = 1, 0*1 = 0.
1*1 = 1, 1*2 = 2.
2*2 = 4, 1*3 = 3.
3*3 = 9, 2*5 = 10.
5*5 = 25, 3*8 = 24.
8*8 = 64, 5*13 = 65.
13*13 = 169, 8*21 = 168.
Summary: Fibonacci is ridiculous. In the coolest ways possible. :D
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