A way of visualizing the first generalized Fermat numbers using squares.
The numbers on those series get large very quickly and it becomes quite difficult to work on them on a visual basis after the first few numbers of each series.
Starting with a 3x3 square grid, for the series: 3,5,17,257,65537,4294967297,
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| 3 , 5 Fermat numbers |
One way of finding the next number in the series is to draw a square using G-N as a base and draw a perpendicular line to G-N that passes from the point L.
This will divide the G-N line into 1/5.
Repeat the same process with the new square , which is now a 5x5 square grid to get a new 17x17 square grid and so on.
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| Generalized Fermat Numbers , visualized: 3,5,17 |
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| 3, 5 Generalized Fermat Numbers |
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| Generalized Fermat Numbers, 3, 5. Square root 2 . Golden ratio. |
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| 3,5,17.. Generalized Fermat Numbers |
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| 7,37..Generalized Fermat Numbers |
