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fatphil 2005-12-16 08:24

Backfilling 15k=25935
 
I noticed that 25935 had a criminally small low hole, so decided to fill it last night:

11476, 12448, 13205, 16282, 19583,
22209, 26443, 28532, 29326, 32689,
34226, 42832, 44325, 46144 already known,
47396 already known, 54956, ... (67364)

No point leaving a hole, so I'll finish this one off too.

ValerieVonck 2005-12-16 20:46

1 more prime to 100k:

[code]
3250995*2^97731-1 is prime! 29427 digits
[/code]

fatphil 2005-12-20 11:42

15k=25935 backfilled completely
 
11476, 12448, 13205, 16282, 19583,
22209, 26443, 28532, 29326, 32689,
34226, 42832, 44325,
(46144 already known, 47396 already known,)
54956, 67599, 69182, 69625, 75563,
81684, 83898, 84676, 91943, 92016,
101560

This brings the total known list to:

1, 3, 4, 9, 10, 11, 12, 16, 19, 21,
23, 25, 29, 32, 33, 35, 44, 48, 64, 80,
82, 99, 100, 101, 128, 132, 141, 155, 170, 201,
213, 339, 570, 573, 623, 698, 721, 811, 826, 964,
1120, 1173, 1185, 1225, 1324, 1329, 1392, 1775, 2056, 2576,
2631, 3045, 3488, 3609, 3803, 4653, 4902, 5064, 5210, 5931,
6013, 6978, 7429, 8163, 8316, 9460, 11476, 12448, 13205, 16282,
19583, 22209, 26443, 28532, 29326, 32689, 34226, 42832, 44325, 46144,
47396, 54956, 67599, 69182, 69625, 75563, 81684, 83898, 84676, 91943,
92016, 101560 117344, 121855, 139225, 152803, 173518, 219995
(220000)

Bugger, that's 98.

Really stopping this time - factorial prime sieving is my next job...
Good luck all.

Kosmaj 2005-12-20 14:51

The [URL=http://www.15k.org/stats.htm]stats page[/URL] updated with small primes found by Phil and Amphoria. Will add those found by Cedric later (cannot locate primes for n<10k for his [I]k[/I]...).

BTW a historic remark on two [I]k[/I]'s included above.
[B]k=25935[/B]
> (46144 already known, 47396 already known,)
These two primes were found in Engelsma (g174) in summer 2000.

[B]k=869688105[/B]
Primes for 27102 <= n <= 48078 were found by Herranen (g78) in November-December 1998.

lsoule 2005-12-23 18:37

Last year I posted the first hundred primes for k=860541825
(The 100th is at n=54696). I have filled in the gaps and taken
this k up to 260k so far. Here are the new primes for a total
of 113 primes so far:

860541825 66286
860541825 67056
860541825 78227
860541825 86092
860541825 95583
860541825 100597
860541825 101104
860541825 102606
860541825 105210
860541825 153367
860541825 170189
860541825 187934
860541825 242559


-Larry

Cruelty 2005-12-23 19:30

1 Attachment(s)
I have started working on k=151515, just for fun :smile: So far 73 primes have been discovered for n<210000, continuing sieving and testing for 210000<n<400000.

grobie 2005-12-29 02:45

k=850612425
 
From Choose your own K, k=850612425 sieved to 312G 10K to 300K, currently at n=244600, Total 100 Primes :down: Will continue to 300k

Primes from n=1 to 10k =77
850612425 10649
850612425 11025
850612425 12050
850612425 12636
850612425 12654
850612425 13294
850612425 23950
850612425 25304
850612425 35537
850612425 46316
850612425 48793
850612425 64345
850612425 78208
850612425 91844
850612425 98819
850612425 107606
850612425 135696
850612425 143231
850612425 153594
850612425 167265
850612425 179716
850612425 219429
850612425 239205 (100th Prime)

ValerieVonck 2005-12-30 19:03

k=234686595
 
From choose your own K

234686595*2^11442 - 1 is prime! 3453 digits
234686595*2^18824 - 1 is prime! 5675 digits
234686595*2^23205 - 1 is prime! 6994 digits
234686595*2^26353 - 1 is prime! 7942 digits
234686595*2^27268 - 1 is prime! 8217 digits
234686595*2^27600 - 1 is prime! 8317 digits
234686595*2^27607 - 1 is prime! 8319 digits
234686595*2^29745 - 1 is prime! 8963 digits
234686595*2^32882 - 1 is prime! 9907 digits
234686595*2^33072 - 1 is prime! 9965 digits

Makes 84 primes! Up to ?? :showoff:

ValerieVonck 2005-12-31 11:12

k=234686595
 
234686595*2^35503 - 1 is prime! 10696 digits
234686595*2^36492 - 1 is prime! 10994 digits
234686595*2^36752 - 1 is prime! 11072 digits
234686595*2^37128 - 1 is prime! 11186 digits
234686595*2^37376 - 1 is prime! 11260 digits
234686595*2^37694 - 1 is prime! 11356 digits
234686595*2^39137 - 1 is prime! 11790 digits
234686595*2^43606 - 1 is prime! 13136 digits
234686595*2^48861 - 1 is prime! 14717 digits
234686595*2^49489 - 1 is prime! 14907 digits

Makes 94 primes!

ValerieVonck 2006-01-01 20:35

234686595*2^50913 - 1 is prime! 15335 digits
234686595*2^62127 - 1 is prime! 18711 digits

Makes 96

grobie 2006-01-03 00:31

From choose you own
 
k=1222853775

Primes from n=1 to 10k = 81
1222853775 12582
1222853775 15111
1222853775 15562
1222853775 17039
1222853775 20909
1222853775 25721
1222853775 27435
1222853775 29005
1222853775 29499
1222853775 29511
1222853775 30871
1222853775 32373
1222853775 32798
1222853775 36441
1222853775 37700
1222853775 45789
1222853775 46062
1222853775 48302
1222853775 52094 (100th Prime) :banana:
1222853775 53967
1222853775 54089
1222853775 55766


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