Re: prime numbers and African artifact

Sani Huttunen (Sani.Huttunen@one.se)
20 Jul 1995 11:11:06 GMT

ariels@pita.cs.huji.ac.il (Ariel Scolnicov) wrote:

>[... much discussion removed...]
> For Your Information...
>
> 1,4,9,16,36... are the sequence of SQUARES OF NATURAL NUMBERS
>
> 1,1,2,3,5,8,13,21,34... is the FIBONNACCI SEQUENCE
>
> 2,3,5,7,11,13,17,19,23,27... is the sequence of PRIMES!
^
^- This is NOT a prime.
Since 3*9=27.

>I don't get it. How can 13 be both PRIME and FIBONNACCI?! Is this what
>is meant by "twin prime"??

The FIBONACCIA NUMBERS are defined:

"X[0] = 1
X[1] = 1
X[2] = X[0] + X[1] = 2
X[3] = X[1] + X[2] = 3
.
.
.
X[N] = X[N-2] + X[N-1]"

This g€ves us the following sequence of numbers:

1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610...

I do not know the meaning of a twin prime, but the Fibonacci sequence
has nothing to do with prime numbers.

>On a related note -- is 1 the only number which is TWICE a FIBONNACCI
>number?

If you look at the defintion you will see that 1 is the only Fibonacci
number that occurs twice.

>At least I managed to understand one thing -- 27 is definitely a prime
>(it can't be represented with balanced trits unless we use zeros).

Now, forget EVERYTHING that you know of prime numbers. 27 is NOT a prime.
Since a prime is defined:

"A Prime Numbers is a number larger than 1 and only devisable by itself and 1".

Since 27 is devisable by 3 (and 9) it cannot be a prime number.

By definition we get the following sequence of primes:

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53...

Sani Huttunen