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• ## Re: How hard is it to find an AP-k?

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• ... That was as per 6 Jun. Just over 5 months on, the revised table is:- rank k d s=(k+4)*log(d) ... 1 8 1057 83.558 2 3 137514 82.817 3 12
Message 1 of 14 , Nov 17, 2009
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--- In primenumbers@yahoogroups.com, "Mike Oakes" <mikeoakes2@...> wrote:
>
> Inserting the latest records from Jens's page
> http://users.cybercity.dk/~dsl522332/math/aprecords.htm
> gives this table:-
>
> rank k d s=(k+4)*log(d)
> ---- - - --------------
> 1 8 1057 83.558
> 2 3 137514 82.817
> 3 12 173 82.453
> 4 25 17 82.163
> 5 5 7009 79.695
> 6 23 19 79.499
> 7 24 17 79.330
> 8 11 195 79.095
> 9 7 1290 78.786
> 10 9 425 78.677
> 11 10 265 78.116
> 12 22 19 76.554 MEDIAN
> 13 14 69 76.214
> 14 19 27 75.803
> 15 4 11961 75.115
> 16 21 20 74.893
> 17 18 29 74.081
> 18 13 78 74.064
> 19 6 1606 73.815
> 20 15 48 73.553
> 21 20 21 73.068
> 22 16 38 72.752
> 23 17 29 70.713
>

That was as per 6 Jun.
Just over 5 months on, the revised table is:-

rank k d s=(k+4)*log(d)
---- - - ------ -------
1 8 1057 83.558
2 3 137514 82.817
3 12 173 82.453
4 25 17 82.163
5 5 7009 79.695
6 24 18 80.930
7 23 19 79.499
8 11 196 79.172
9 7 1290 78.786
10 9 425 78.677
11 10 274 78.584
12 17 42 78.491 was 23rd
13 6 2145 76.709 was 19th
14 22 19 76.554
15 14 69 76.214
16 19 27 75.803
17 15 54 75.791 was 20th
18 4 11961 75.115 was 15th
19 21 20 74.893 was 16th
20 16 42 74.753
21 18 29 74.081 was 17th
22 13 78 74.064 was 18th
23 20 21 73.068

Note that the lowest score was 70.713 and is now 73.068.
The comments are against k values which have changed rank by more than 2.
The first 11 positions are almost unchanged.

The latest table might help in suggesting to people (but perhaps I shouldn't be giving these clues:-) which records to try for next.

-Mike Oakes
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