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Topic: Goldbach conjecture
Replies: 43   Last Post: Sep 26, 2000 8:55 AM

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Gerry Myerson

Posts: 192
Registered: 12/8/04
Re: Goldbach conjecture
Posted: Oct 30, 1997 10:41 PM
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In article <3458CA74.900@math.okstate.edu>, David Ullrich
<ullrich@math.okstate.edu> wrote:

> Gerry Myerson wrote:
> >
> > ...it has been obvious for a century or two that the Goldbach Conjecture
> > is true.

>
> Really? Could you explain why this is obvious?


Well, there are so damn many primes. There are more than 1200 of them
below 10000, for instance. That means over 700000 ways to account for
the 10000 even numbers below 20000 as a sum of two primes. That's an
overkill ratio of 70-to-1. And it just gets worse, if you go up to
100000, 1000000, etc. There would have to be a massive conspiracy of
the prime numbers in order for any even number to miss out.

To put the same thing another way; anyone who sits down to verify
Goldbach for small values will quickly find that not only can every even
n exceeding 2 be written as a sum of two primes, but every n from some
point on has at least two such expressions; from some further point on,
she will find that every n has at least three, then four, then five...;
eventually, it will become obvious to her that every sufficiently large
even integer has more than 100, more than 1000, more than 1000000
representations as a sum of two primes. And if that's obvious, how much
more obvious is Goldbach, a pathetically weak conjecture by comparison.

Gerry Myerson (gerry@mpce.mq.edu.au)






Date Subject Author
10/29/97
Read Goldbach conjecture
Amin Ahmad
10/29/97
Read Re: Goldbach conjecture
Gerry Myerson
10/30/97
Read Re: Goldbach conjecture
David Ullrich
10/30/97
Read Re: Goldbach conjecture
Gerry Myerson
11/2/97
Read Re: Goldbach conjecture
Warwick Pulley
11/2/97
Read Re: Goldbach conjecture
Ron Bloom
11/3/97
Read Re: Goldbach conjecture
feldmann@bsi.fr
11/4/97
Read Re: Goldbach conjecture
David Ullrich
11/10/97
Read Re: Goldbach conjecture
Bob Runkel
11/11/97
Read Re: Goldbach conjecture
Richard Carr
11/19/97
Read Re: Goldbach conjecture
Richard Carr
11/3/97
Read Re: Goldbach conjecture
Gerry Myerson
11/3/97
Read Re: Goldbach conjecture
Warwick Pulley
11/3/97
Read Re: Goldbach conjecture
Gerry Myerson
11/8/97
Read Re: Goldbach conjecture
Andre Engels
11/9/97
Read Re: Goldbach conjecture
Warwick Pulley
11/10/97
Read Re: Goldbach conjecture
Meinte Boersma
11/13/97
Read Mertens' Conjecture [was: Re: Goldbach conjecture]
Chris Thompson
9/16/00
Read Re: Goldbach Conjecture
Daniel McLaury
9/17/00
Read Re: Goldbach Conjecture
Fred Galvin
9/17/00
Read Re: Goldbach Conjecture
Jan Kristian Haugland
9/17/00
Read Re: Goldbach Conjecture
denis-feldmann
9/17/00
Read Re: Goldbach Conjecture
Erick Wong
9/26/00
Read Re: Goldbach Conjecture
John Rickard
11/6/97
Read Re: Goldbach conjecture
Richard White (CS)
11/6/97
Read Re: Goldbach conjecture
James Graham-Eagle
11/6/97
Read Re: Goldbach conjecture
Legion
11/6/97
Read Re: Goldbach conjecture
Gerry Myerson
11/7/97
Read Re: Goldbach conjecture
Legion
11/7/97
Read Re: Goldbach conjecture
Gerry Myerson
11/4/97
Read Re: Goldbach conjecture
David Petry
11/3/97
Read Who/What is the Goldbach conjecture?
Chris J. Bennardo
11/3/97
Read Re: Who/What is the Goldbach conjecture?
Gerry Myerson
11/8/97
Read Re: Who/What is the Goldbach conjecture?
Andre Engels
11/5/97
Read Re: Goldbach conjecture
Robert Hill
10/30/97
Read Re: Goldbach conjecture
goldbach
11/2/97
Read Re: Goldbach conjecture
Orjan Johansen
11/2/97
Read Re: Goldbach conjecture
John Rickard
8/25/98
Read Goldbach's conjecture
Elijah Bishop
11/2/97
Read Re: Goldbach conjecture
Orjan Johansen
10/30/97
Read Re: Goldbach conjecture
Brian Hutchings
11/2/97
Read Re: Goldbach conjecture
Gerry Myerson
11/6/97
Read Re: Goldbach conjecture
Brian Hutchings
4/28/99
Read My conjecture
Papus

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