Well, this is a sophism.

It's true: 2 and 3 are primes but not 6k+-1;

but I suppose primes should be ordered in different levels of quality:

1 is a prime singolarity. (letterally :D ) or a "zero prime"

2 and 3 are base generator primes (first order) (they generates 6 which is

the most important number in primes distribution logic)

5..23 are simple derivate generator primes

29.... <infinite> are complex derivate primes

anyway the sieving logic proposed should be valid for primes >= 5

-------Messaggio originale-------

Da: Phil Carmody

Data: 09/05/2008 13.21.57

A:

primenumbers@yahoogroups.com
Oggetto: Re: [PrimeNumbers] prime numbers...a new (?) theory

--- On Thu, 5/8/08, Paolo Taraboi <olo4all@...> wrote:

> Is well known that prime numbers can be found with sieve

> of Eratosthenes

> and that they are all type 6n+1 or 6n-1.

2 isn't. There's another one too, but I'll let you work that one out

yourself.

> I do not think that it's already known that prime

> number are all 6n +-1

> type numbers excluded those which are the product of two

> members of the

> groupincluded each number with itself.

You think incorrectly. It's a direct consequence of the corrected version of

your first sentence.

Phil

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