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

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Erick Wong

Posts: 394
Registered: 12/8/04
Re: Goldbach Conjecture
Posted: Sep 17, 2000 8:22 AM
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daniel_mcl@hotmail.com (Daniel McLaury) wrote:
> An example of the "law of small numbers" in real maths
> is given by the conjecture that Li(x) is always less than Pi(x).
> This is true for values well over a googol, but eventually it
> becomes false for all values over a certain number.


Slight correction: Littlewood actually showed that Li(x) - Pi(x)
alternates in sign infinitely often, and gave an upper bound for
the position of the first sign change.

Another example is Borsuk's conjecture on decomposing a bounded set
in d dimensions into d+1 sets of strictly smaller diameter. It was
shown to be false in dimension 1325 (and it's now known to be false
in at least dimensions 561 and up).

-- Erick






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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