As i mentioned before you can go for an other number system (http://en.wikipedia.org/wiki/Field_%28mathematics%29) than the standard decimal. The Fibunacci-System as i named it creates a line of numbers which represants the possible maximum at the given place. An Example
| Fibunacci generated Places | 1 | 1 | 2 | 3 | |
| Valid Range on given place | 0 – 1 | 0 – 1 | 0 – 2 | 0 – max of place | |
| Fibunacci number | 1 | 0 | 2 | ||
| Decimal | 5 | 1 | 0 | 4 | 0 |
| Fibunacci number | 1 | 1 | 1 | ||
| Decimal | 6 | 1 | 0 | 2 | 3 |
The Rule for calculate a fib-number to a decimal is Sum over all places(placenumber * number)
As you see the Fibunacce 10 is greater than fib 1 – recalculated to decimal it means 1 > 1. Looks a bit awkwards. How can one apple be bigger than one apple – maybe he is bigger – 🙂
This system creates every decimal number more than once. Some of the people i talked about it found this realy not easy to understand.
But i think we are used to our time and date number system which is indeed a number system persisting not on a sequence rather than a mixed set (which kids really have their issues to learn):
| lesser than seconds | seconds | minutes | hours | days | year |
| 10 exp -n | 60 | 60 | 24 | 356,25 | 10 exp n |
Not a step closer to my prime problem but fun it is still 😀