Back-filling 15k=355424355
 

15k.org lists a gap for 15k=355424355 between n=10000 and 170000.
In that gap you will find:

10982, 14779, 14852, 15331, 15434, 16202, 16303, 16831, 16923, 19875, 21161, 23702, 28127, 29972, 33404

Ongoing...

[QUOTE=fatphil]15k.org lists a gap for 15k=355424355 between n=10000 and 170000.
In that gap you will find:

10982, 14779, 14852, 15331, 15434, 16202, 16303, 16831, 16923, 19875, 21161, 23702, 28127, 29972, 33404

Ongoing...[/QUOTE]

Beginning to slow down a little, but still progress is good.

39315, 41043, 41592, 51211, 59238, 59772, 60612, 66268

Which, if I'm not mistaken, brings that k to 100 primes. Should I insert a dancing banana here?

It appears to roughly have a density of 7 per n doubling, so another 7-10 in the 70000-170000 range is likely.

[QUOTE=fatphil]
15k.org lists a gap for 15k=355424355 between n=10000 and 170000.
In that gap you will find:

10982, 14779, 14852, 15331, 15434, 16202, 16303, 16831, 16923, 19875,
21161, 23702, 28127, 29972, 33404, 39315, 41043, 41592, 51211, 59238,
59772, 60612, 66268

Which, if I'm not mistaken, brings that k to 100 primes. Should I insert a dancing banana here?

It appears to roughly have a density of 7 per n doubling, so another 7-10 in the 70000-170000 range is likely.[/QUOTE]

7 more was comparatively easy:

79481, 87840, 91514, 103375, 104433, 106609, 108981

ongoing...

K-55951335
 

I am done with this K untill forum issues are cleared up, or new project starts.

Here are all primes for K-55951335 up to n=100K

n=0 to 10k = 73 primes
55951335 11289
55951335 11578
55951335 11758
55951335 12712
55951335 12844
55951335 13428
55951335 14182
55951335 15692
55951335 16398
55951335 16549
55951335 17906
55951335 31544
55951335 33250
55951335 33904
55951335 43090
55951335 48710
55951335 50294
55951335 50382
55951335 55884
55951335 59910
55951335 72804
55951335 76902
55951335 81033
55951335 92671
55951335 94435
55951335 98733 (99)

[QUOTE=grobie]I am done with this K untill forum issues are cleared up, or new project starts.
[/QUOTE]

The prime-hunting task, and its worth, should be independent of the website/mailing-list/fora that its participants use to discuss things.

[QUOTE=fatphil]The prime-hunting task, and its worth, should be independent of the website/mailing-list/fora that its participants use to discuss things.[/QUOTE]Well said!

Paul

3 more for 15k=355424355; now the 15k.org gap looks like this:

10982, 14779, 14852, 15331, 15434, 16202, 16303, 16831, 16923, 19875,
21161, 23702, 28127, 29972, 33404, 39315, 41043, 41592, 51211, 59238,
59772, 60612, 66268, 79481, 87840, 91514, 103375, 104433, 106609, 108981,
129800, 136851, 139247

It should be less than a week before I reach the 170000 where the 15k project started searching for bigger primes. I'm prepared to take on another similar sized gap if there are any other dense candidates deserving of a complete investigation.

k=8331405 is anther one that may be of interest. It's hundredth
prime occurs at n=45773 (#101 at 47239). It has also yielded 20
primes in the range n=186251-616479

The missing gap is from n=48181-181000

-Larry

[QUOTE=lsoule]k=8331405 is anther one that may be of interest. It's hundredth
prime occurs at n=45773 (#101 at 47239). It has also yielded 20
primes in the range n=186251-616479

The missing gap is from n=48181-181000

-Larry[/QUOTE]

Thanks Larry!
I shall do that next. I'll start in about 5 days, I guess, and it will take about 2 weeks.

Cheers,
Phil

[QUOTE=fatphil]Thanks Larry!
I shall do that next. I'll start in about 5 days, I guess, and it will take about 2 weeks.[/QUOTE]

I have seriously overerestimated the speed of my CPU...
Nevertheless, I shall do it as soon as this current batch is done (having a dry patch presently).

[QUOTE=fatphil]15k=355424355

10982, 14779, 14852, 15331, 15434, 16202, 16303, 16831, 16923, 19875,
21161, 23702, 28127, 29972, 33404, 39315, 41043, 41592, 51211, 59238,
59772, 60612, 66268, 79481, 87840, 91514, 103375, 104433, 106609, 108981,
129800, 136851, 139247[/QUOTE]

that's all folks -- that k is now without n gaps.

The first few small primes have started on my next k too, but I'll wait until I have a whole bunch before starting to post them to keep the noise down.