A065577 Number of Goldbach partitions of 10^n? More terms?

[David Wilson]

----- Original Message ----- 
From: "zak seidov" <zakseidov at yahoo.com>
To: <seqfan at ext.jussieu.fr>
Sent: Thursday, November 02, 2006 10:09 PM
Subject: Re: A065577 Number of Goldbach partitions of 10^n? More terms?


> David, Dick, Bob, Ivars,
> seqfans.
>
> After recalculating (at two different PC's)
> and rechecking I could finally
> find source of my error
> (silly as usual) in one of codes,
> and my final value is
> a(10) = 18200488 (NOT 18200487!)
> which coincides now with the Dick-David value.
>
> So, Bob,
> you may wish to give in A065577  the correct value
> a(10) = 18200488 with due refer to David Wilson  and
> Richard Mathar (not me).

I don't remember if Richard Mathar or myself was first to find a(10) = 
18200488. It's not really important to me, since any value would be suspect 
until independently confirmed. The fact that your suspect value led you to a 
bug in your program simply serves as additional confirmation. I have no 
problem with all three of us getting attribution. But then, I have no 
problem with none of us getting attribution, as this computation strikes me 
as on the level of an undergraduate homework problem.

> Also Ivars can extend his table.
> Thanks, Zak
>
> BTW1 Still, is it possible to find a(11)... with C++?

Well, it is possible to find a(11) using a C++ sieving program on an aging 
PC in a few hours, and if you were to do so, you would find that a(11) = 
149091160. Methinks that finding a(12) using the same program on the same PC 
would take about a week, except that said PC is a shared resource.

> BIW2 Not all people even in this closed list
> may be interested in Mmca specific problems,
> so I''l be happy to have a list of you
> particularly Mmca-involved.
> Then we may circulate relevant messages
> not to all seqfan community.
> Please anyone interested write me personally
> with subject "Me in Mmca", thanks.
> Of course it's not intented to be closed list!
> Hope this is not against Gerard' policy.

I truly wish I could afford Mma (or better yet, a math-enabled PDF editor). 
If I'm on anybody's Christmas list...