Message 3095 from Yahoo.Groups.Primenumbers
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Subject: RE: [PrimeNumbers] Prime GAP of 82794
Date: Thu, 4 Oct 2001 01:16:46 -0700
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Thread-Topic: [PrimeNumbers] Prime GAP of 82794
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To: "Barbara and Joe" <the_mcleans@...>,
"Prime Numbers" <primenumbers@yahoogroups.com>
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From: "Paul Leyland" <pleyland@...>
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There still seems to be misunderstanding about what my tables are
intended to contain.
They are *not* a complete list of all prime gaps known with length >
1000.
They are *not* a complete list of all prime gaps with length/logp > 10.0
They are, or rather will be, the 20 gaps of largest known length with
length/logp > 10.0 and the 20 gaps with length >1000 and with the
largest known values of length/logp.
Anyone who wants anything different is entirely free to do it
themselves.
Paul
-----Original Message-----
From: Barbara and Joe
[mailto:the_mcleans@...]
Sent: 03 October 2001 19:55
To: Prime Numbers; Paul Leyland
Subject: Re: [PrimeNumbers] Prime GAP of 82794
Paul,
Notwithstanding Milton's efforts, it does seem that very little
effort is required to produce scores greater than 10. For example, I ran
2^201+1 to 2^201+10^7-1 through Newpgen then pfgw in a couple of hours
and found a gap that scores 11+. Could I suggest to potential
contributors so Paul's soon to arrive webpage on the subject that :
1) additional criteria be added for qualification - this might
become more evident when the first lists are available.
2) an exhaustive survey of 2^x+1 to 2^x+y-1 for x >= 100 and y =
10^7, 10^8 or even 10^9.
Joe.
> 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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