- There are no prime numbers between

10^5020+47311

and

10^5020-35483

yielding a prime GAP of 82794 (or 82795).

These end-points may be (?) certifiable

with Primo 1.0. It is hard to tell with so much

hype about it. Anyone who cares to try with

a fast machine for a month or twelve is welcome.

Milton L. Brown

miltbrown@...

[Non-text portions of this message have been removed] - Sorry for the delay in replying to this. It was never my understanding that the tables would be allowed to grow and grow. I just meant to imply that initially the tables will be subject to constant heavy updating and that more resticted criteria would slow this down a bit. I hope to be able to contribute when I get myself organised.

Joe.

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

I make 82794/ln(10^5020+47311) about 7.163.

>

> 10^5020+47311

>

> and

>

> 10^5020-35483

>

> yielding a prime GAP of 82794 (or 82795).

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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