gchil0@... wrote:
> 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.
Also using Jim's CPAPSieve and Gapper, I found this prime gap
1026/ln(10^20+603345152719)=D=22.279
But this D is *many miles* away from Bertil Nyman's
1026/ln(14337646064565977)=D=27.579
or
1132/ln(1693182318747503)=D=32.282
So if you want to find a record D > 10, L > 1000
you should first have a close look at the end of
http://www.trnicely.net/gaps/gaplist.html
Paul L.: This would easily fill your first published
D > 10, L > 1000 table, if Bertil would submit his
findings to it ;)
Hans
PS: Though I'm sure Jim's CPAPSieve and Gapper will find
D's > 33 when some make heavy use of them.