Message 3094 from Yahoo.Groups.Primenumbers
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Date: Thu, 04 Oct 2001 02:40:37 -0000
To: primenumbers@yahoogroups.com
Subject: Re: Prime GAP of 82794
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From: gchil0@...

Hi,

> 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+.

I second (third, fourth?) that. Spending a couple of hours on 2^222+k
using Jim's CPAPSieve and Gapper, I found the following prime gaps:

2^222+k:
k=385810479, 385812547, L=2068, D=13.44
k=377030973, 377033265, L=2292, D=14.89
k=2904881407, 2904883713, L=2306, D=14.99
k=3146587153, 3146589463, L=2310, D=15.01
k=4010309389, 4010311705, L=2316, D=15.05
k=1219497097, 1219499439, L=2342, D=15.22
k=2930700145, 2930702499, L=2354, D=15.30
k=1334629339, 1334631747, L=2408, D=15.65
k=3471270103, 3471272527, L=2424, D=15.75

> 1) additional criteria be added for qualification - this might
> become more evident when the first lists are available.

I don't think this is needed. Simply restricting the lists to 20
entries will quickly raise the bar needed to qualify.

Greg


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