Re: Goldbach Conjecture
- From: "bill" <b92057@xxxxxxxxx>
- Date: 23 Oct 2006 13:56:55 -0700
Gerry Myerson wrote:
In article <1161555482.977632.42490@xxxxxxxxxxxxxxxxxxxxxxxxxxx>,
"bill" <b92057@xxxxxxxxx> wrote:
I have an idea re the "Goldbach Conjecture. I will "fold my tent
and silently steal away", if someone can find three primes;
(which do not include 2 or 3), that add up to 32.
Considering that primes that do not include 2 are odd,
and that the sum of three odd numbers is odd,
and that 32 is even,
I hope there's a little more to your "idea".
--
Gerry Myerson (gerry@xxxxxxxxxxxxxxx) (i -> u for email)
Given that every prime is of the form 6n - 1 or 6n +1, then the
sum of 3 primes is; 6n - 3, 6n - 1, 6n + 1 or 6n + 3.
This generates all odd integers.
The sum of rwo primes + 3 is 6n + 1, 6n + 3 and 6n + 5
This also generates all odd integers.
Of course, this PROVES ABSOLUTELY NOTHING!
It merely shows that the conjecture is a viable concept
and is not obviously false.
If every even integer is the sum of two primes, it follows that
every odd integer > 8 is the sum of two odd primes + three!
Therefore, the Goldbach conjecture is fully stated as
"Every even integer > 5, is the sum of two odd primes."
regards
Bill J
.
- Follow-Ups:
- Re: Goldbach Conjecture
- From: Proginoskes
- Re: Goldbach Conjecture
- References:
- Goldbach Conjecture
- From: bill
- Re: Goldbach Conjecture
- From: Gerry Myerson
- Goldbach Conjecture
- Prev by Date: Re: Middle School Math: teaching with calculators
- Next by Date: Re: An uncountable countable set
- Previous by thread: Re: Goldbach Conjecture
- Next by thread: Re: Goldbach Conjecture
- Index(es):
Relevant Pages
|
