I'm nearly half of the way through the hole

k=8331405:
49415
50445
52637
56391
64400
84059
85434
132909

Nice start, shame about the latter dearth.

Phil

For k=736320585 I have reached n=410k... so far 99 primes have been discovered, I am still looking for #100 :showoff:

BTW: Maybe we should move this thread to "RPS - forum" :question:

[QUOTE=Cruelty]For k=736320585 I have reached n=410k... so far 99 primes have been discovered, I am still looking for #100 :showoff:

BTW: Maybe we should move this thread to "RPS - forum" :question:[/QUOTE]


Brave chappy! It'll be there eventually, of course, and it will hopefully be worth the wait. Good luck with that.

Regarding thread location - I have no strong opinion.

On a side note, due to a catastrophic machine failure last week, I'll not be able to do any more small prime back-filling for a while, as I need to move the machine I was using onto sieving. However, it did appear that there weren't any obvious holes in the absolute densest (appearing) candidates.

Should I move it?

Alex

[QUOTE=akruppa]Should I move it?

Alex[/QUOTE] IMO, that would be cool :smile:

First batch of results for K 3250995
from 10k to 50k:

3250995 12665
3250995 13757
3250995 14730
3250995 18772
3250995 18986
3250995 23930
3250995 26026
3250995 27348
3250995 28051
3250995 31445
3250995 34123
3250995 36262
3250995 38799
3250995 40595
3250995 41002
3250995 42615
3250995 45965
3250995 47757
3250995 48509
3250995 48859

Tested to k=80k

3250995*2^53311 - 1 is prime! 16055 digits
3250995*2^60917 - 1 is prime! 18345 digits
3250995*2^71729 - 1 is prime! 21600 digits
3250995*2^76722 - 1 is prime! 23103 digits


--
Repasting the other primes with their lenght:

[code]
3250995*2^12665 - 1 is prime! 3820 digits
3250995*2^13757 - 1 is prime! 4148 digits
3250995*2^14730 - 1 is prime! 4441 digits
3250995*2^18772 - 1 is prime! 5658 digits
3250995*2^18986 - 1 is prime! 5722 digits
3250995*2^23930 - 1 is prime! 7211 digits
3250995*2^26026 - 1 is prime! 7842 digits
3250995*2^27348 - 1 is prime! 8240 digits
3250995*2^28051 - 1 is prime! 8451 digits
3250995*2^31445 - 1 is prime! 9473 digits
3250995*2^34123 - 1 is prime! 10279 digits
3250995*2^36262 - 1 is prime! 10923 digits
3250995*2^38799 - 1 is prime! 11687 digits
3250995*2^40595 - 1 is prime! 12227 digits
3250995*2^41002 - 1 is prime! 12350 digits
3250995*2^42615 - 1 is prime! 12835 digits

3250995*2^45965 - 1 is prime! 13844 digits
3250995*2^47757 - 1 is prime! 14383 digits
3250995*2^48509 - 1 is prime! 14610 digits
3250995*2^48859 - 1 is prime! 14715 digits
[/code]

Primes of 869688105 < n=200000
 

For the record here are all the primes of k=869688105 less than n=200000. All of the larger primes are currently on the Top 5000 list.

[CODE]1, 3, 7, 10, 16, 17, 18, 19, 21, 26, 37, 45, 57, 58, 76, 84, 90,
104, 105, 107, 137, 145, 155, 190, 235, 251, 254, 286, 298, 421,
492, 502, 507, 540 597, 606, 641, 661, 738, 765, 999, 1397, 1487,
1659, 1699, 1815, 2019, 2128, 2326, 2401, 2523, 2736, 2819, 2859,
2898, 2997, 3150, 4084, 4411, 4690, 4842, 6466, 6614, 6632, 8471,
8755, 9067, 9899, 10872, 11862, 12130, 12158, 12264, 12842, 13205,
16257, 18968, 20107, 21783, 24333, 27102, 30777, 31224, 31527,
32235, 32872, 35314, 43604, 48078, 53391, 59191, 64124, 67464,
87768, 88497, 89458, 96851, 115483, 116955, 124675, 131943,
141817, 144768, 153564, 159318, 160002, 165964, 170562[/CODE]

8331405 back-filled completely
 

15k=8331405's hole contained 9 primes:
49415, 50445, 52637, 56391, 64400, 84059, 85434, 132909, 163192
(I had a few problems with LLR in the middle of that, if anyone would like to have my lresults.txt file, and perhaps double-check the 85434-132909 region, then just ask.)

Can somebody ensure 15k.org is updated?

The full list now stands at 132:

1, 9, 11, 17, 21, 31, 32, 33, 45, 57,
61, 64, 67, 69, 77, 80, 85, 88, 107, 115,
117, 120, 121, 124, 147, 155, 161, 164, 168, 177,
179, 221, 232, 258, 261, 264, 281, 282, 299, 308,
342, 415, 471, 503, 504, 505, 537, 572, 680, 989,
1328, 1565, 1607, 1613, 1841, 1953, 2509, 2692, 2739, 2834,
3627, 3735, 3870, 3960, 4083, 4682, 4788, 5187, 5247, 5623,
5804, 6015, 6020, 6405, 6569, 7052, 7315, 7477, 7489, 8389,
8800, 10407, 10512, 12035, 13015, 14634, 14941, 16339, 16367, 16554,
26533, 28153, 29081, 30222, 32391, 36371, 37323, 39251, 43935, 45052,
45773, 47239, 49415, 50445, 52637,
56391, 64400, 84059, 85434, 132909,
163192, 186251, 198122, 199127, 200363,
205885, 207555, 220532, 222399, 264459,
269433, 274141, 309331, 317435, 359692,
371488, 377268, 383323, 422243, 433420,
585714, 616479

As I'm a machine down for my own project, I'm bowing out of this 15k/RPS back-filling task for the moment, but may rejoin later. Good luck all!

[QUOTE=fatphil]15k=8331405's hole contained 9 primes:
...
The full list now stands at 132:
[/QUOTE]

I've just noticed that 2995125705 is at 132 too, at roughly the same n level.
Still 10 short of your leader, which is 20 short of my drag race leader.

[code]
3250995*2^80610 - 1 is prime! 24273 digits
3250995*2^96176 - 1 is prime! 28959 digits
[/code]

Regards,
C.