Message 3048 from Yahoo.Groups.Primenumbers
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Reply-To: "Milton Brown" <miltbrown@...>
To: <primenumbers@yahoogroups.com>, <jfoug@...>
References: <9p7hae+vfkp@...>
Subject: Re: [PrimeNumbers] Re: Prime GAP of 82794
Date: Sun, 30 Sep 2001 09:40:59 -0700
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From: "Milton Brown" <miltbrown@...>

Do I understand correctly that you object to my keeping
my own database and making it available?

----- Original Message -----
From: <jfoug@...>
To: <primenumbers@yahoogroups.com>
Sent: Sunday, September 30, 2001 9:30 AM
Subject: [PrimeNumbers] Re: Prime GAP of 82794

> Why is it "deficient" Milton? Because this example does not fit?
> Well there is not that much special about your find. Yes, it is
> outside of the normal bounds a little, but not too far outside those
> bounds for numbers as large as you are working with. For a pair of
> numbers this size, you need a gap of over 115000 to qualify for Pauls
> list. I see nothing wrong with that, your numbers simply are not
> special enough. You will probably have a hard time finding gaps
> which work if ALL you do is search 10^n-k to 10^n+j. A search like
> you are doing is no better than simply starting at 10^n+1 and
> proceeding forward to 10^n+3, 10^n+5, ... until you find a gap of
> sufficient size. This is a very slow method of search, and for you
> to limit yourself to 10^n-k to 10^n+j you have doomed yourself to this
> method. The method I described in earlier emails can speed up this
> searc by a factor of (D-1) and with D being 10 or more, that means
> that you can search up to 9 times faster.
>
> --- In primenumbers@y..., "Milton Brown" <miltbrown@e...> wrote:
> >
> > Your database seems to be deficient, and its
> > not even published. I think I will make my own.
> >
> >
> > ----- Original Message -----
> > From: "Paul Leyland" <pleyland@m...>
> > To: "Milton Brown" <miltbrown@e...>; <primenumbers@y...>
> > Sent: Sunday, September 30, 2001 2:00 AM
> > Subject: RE: [PrimeNumbers] Prime GAP of 82794
> >
> >
> >
> > > There are no prime numbers between
> > >
> > > 10^5020+47311
> > >
> > > and
> > >
> > > 10^5020-35483
> > >
> > > yielding a prime GAP of 82794 (or 82795).
> >
> > I make 82794/ln(10^5020+47311) about 7.163.
> >
> > Well short of the 10.0 needed to get on my top-20 page. The latter,
> > BTW, is now under construction and I hope to make it public within
> a day
> > or two.
> >
> > Paul


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