Message 3049 from Yahoo.Groups.Primenumbers
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Date: Sun, 30 Sep 2001 11:41:56 -0500
To: "Milton Brown" <miltbrown@...>, <primenumbers@yahoogroups.com>
Subject: Re: [PrimeNumbers] Re: Prime GAP of 82794
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From: Jim Fougeron <jfoug@...>
At 09:40 AM 9/30/01 -0700, Milton Brown wrote:
>
>Do I understand correctlythat you object to my keeping
>my own database and making it available?
Absolutely not. An additional database would be a fine addition. I am
not sure which of the lines I wrote which you read between, that stated
I objected to your keeping a database, oh well, I guess my ignorance
shows.
Jim.
>----- 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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