[ExI] Goldbach Conjecture
spike
spike66 at att.net
Sat Nov 28 16:14:32 UTC 2009
> -----Original Message-----
> From: extropy-chat-bounces at lists.extropy.org
> [mailto:extropy-chat-bounces at lists.extropy.org] On Behalf Of
> Giulio Prisco (2nd email)
> Sent: Friday, November 27, 2009 11:12 PM
> To: ExI chat list
> Subject: Re: [ExI] Goldbach Conjecture
>
> I think the Goldbach conjecture is probably false, with
> probability 1 (that means, certainly false). Here is why:
>
> Apparently there is nothing in the laws of arithmetics that
> forces an even number to be the sum of two prime numbers. The
> conjecture is true for all even numbers on which it has been
> tested, but these are an infinitesimal part of the total (any
> finite number is infinitesimal wrt infinite). Hence, if there
> is no proof, the probability of he Goldbach conjecture being
> true is zero.
I disagree sir, however I confess my line of reasoning is not as well
developed as the one you offer.
I took the even numbers and calculated the number of ways each even number
(shown on the X axis) could be expressed as a the sum of two primes. The
number of different ways is on the Y. For Goldbach to have been wrong,
there is some super-anomaly way out there somewhere which departs from the
data trends shown.
Yes I do know that this line of reasoning is not to be substituted for
actual mathematical logic, do forgive please.
I plotted them to a few million on matlab, found there are striking patterns
in the data, such as the eye-catching streaks.
spike
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