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Old 2007-05-22, 16:43   #122
gd_barnes
 
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Default Primes for k=686701125 to n=50K

CedricVonck reserved k=686701125 for n=50K and higher. Below are the primes up to n=50K to fill in the gap:

686701125 1
686701125 2
686701125 3
686701125 6
686701125 11
686701125 14
686701125 15
686701125 17
686701125 18
686701125 25
686701125 27
686701125 29
686701125 33
686701125 37
686701125 42
686701125 47
686701125 52
686701125 53
686701125 62
686701125 65
686701125 70
686701125 83
686701125 101
686701125 104
686701125 128
686701125 147
686701125 149
686701125 152
686701125 162
686701125 174
686701125 210
686701125 270
686701125 315
686701125 326
686701125 360
686701125 393
686701125 414
686701125 432
686701125 513
686701125 528
686701125 544
686701125 612
686701125 627
686701125 687
686701125 724
686701125 767
686701125 872
686701125 911
686701125 1019
686701125 1085
686701125 1152
686701125 1241
686701125 1821
686701125 1904
686701125 1978
686701125 2017
686701125 2375
686701125 2809
686701125 2813
686701125 2814
686701125 2992
686701125 3014
686701125 3137
686701125 3315
686701125 3469
686701125 4179
686701125 4737
686701125 5510
686701125 5761
686701125 5975
686701125 6234
686701125 6312
686701125 6820
686701125 7239
686701125 7863
686701125 8201
686701125 8879
686701125 10009
686701125 11969
686701125 12048
686701125 12132
686701125 12170
686701125 16162
686701125 17953
686701125 21172
686701125 24263
686701125 26649
686701125 28761
686701125 28962
686701125 29285
686701125 29648
686701125 32018
686701125 33074
686701125 35987
686701125 38535
686701125 44781
686701125 45132

This makes a total of 97 primes below n=50K and the 100th prime at n=61743. This appears to be a great K! Cedric, I hope you find a bunch of top-5000 primes from this one.

Note that there were no primes between n=45132 and Cedric's first entry of n=59037.


Gary
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Old 2007-05-22, 17:07   #123
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Default Post primes for k=15015 to n=100K to fill gap

I previously posted the primes for k=15015 up to n=100K, then found out that the k had been tested quite high, and so I 'un-reserved' it. But I see that the 15k.org summary site only has primes for it posted up to n=7840 and then starts in again at n=201357 and continues to n=356533.

Therefore, please post the listed primes between n=7840 and n=100K to partially fill the gap.


Gary
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Old 2007-05-22, 17:57   #124
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Gary, I strongly recommend that you use [ code] [/code] tags when you paste such a long list of results, or even better attach a txt file containing such results
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Old 2007-05-22, 19:08   #125
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Default

Quote:
...or even better attach a txt file containing such results...
Please use uploaded text files whenever possible. Compressing them is real helpful as well, but we doubt most people would go to the trouble of doing that. Just uploading them really helps reduce the load on the database server.

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Old 2007-05-22, 19:47   #126
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Default OK, will attach .txt file

Quote:
Originally Posted by Cruelty View Post
Gary, I strongly recommend that you use [ code] [/code] tags when you paste such a long list of results, or even better attach a txt file containing such results
<<


OK, I'm sorry to take up so much space. I'm not sure what '[ code] [/code] tags' are so I'll just attach a .txt file.


Gary
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Old 2007-05-22, 19:52   #127
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Default Prime for k=102765 from n=150K-175K

I've now tested k=102765 to n=175K. There was one more prime found:

102765*2^150770-1


Gary
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Old 2007-05-23, 04:56   #128
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Default Primes for k=968911515 for n=100K-150K; continuing

I've now tested k=968911515 up to n=150K. I previously posted the ones up to 100K. The following are the 3 primes from n=100K to 150K for a total of 86 primes so far:

968911515*2^104326-1
968911515*2^104779-1
968911515*2^107481-1

Note that there were no primes between n=107481 and n=150K.


Gary
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Old 2007-05-23, 16:07   #129
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Default Prime for k=19437 from n=150K-175K; continuing

I've now tested k=19437 to n=175K. There was one more prime found for a total of 72 primes so far:

19437*2^154321-1


Gary
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Old 2007-05-25, 05:26   #130
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Default Primes for k=775784295 to n=100K; continuing

I've tested k=775784295 to n=100K. This one had gaps below n=25,202 and between n=45,852 and 132,812 so I am filling them. This ones looks outstanding so I plan to continue testing it past n=300K.

So far, this has been the best k I've seen with 40 primes between n=10K and n=100K! In reviewing the 15k.org summary site and n<300 site, I found nothing that came close to it. The closest I found were k=902613855 and k=20152491645, both of which had 35 primes in that range of n. Although there are several k's that are as good or better than the total of 99 primes that I found below n=100K, I think it's a much better measure to eliminate primes below n=10K. When doing that, this K stands out.

Has anyone else seen a k with at least 40 primes between n=10K and n=100K for k's < 10^15 ?

For completeness, on the attached file, I am showing all 99 primes below n=100K, which include 15 primes already found in the middle of it. I put an asterisk "*" by the the ones already found. I also verified that all 15 matched ones that I found.


Gary
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File Type: txt prime775784295-000K-100K-1 posting.txt (1.6 KB, 78 views)
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Old 2007-05-25, 05:43   #131
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Default Primes for k=3428677395 to n=100K; continuing

I've tested k=3428677395 to n=100K. This one had been previously tested to n=10K so attached are the 28 primes between n=10K and n=100K for a total of 83 primes so far. I confirmed that the previously posted 55 primes matched my test to 10K.

I plan on testing this one to n=250K to 300K or so.


Gary
Attached Files
File Type: txt prime3428677395-010K-100K-1 posting.txt (502 Bytes, 89 views)
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Old 2007-05-25, 11:11   #132
Flatlander
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Default k=3045

Not sure where this should be posted but, here is the complete list of primes for k = 3045, up to n = 371469
Attached Files
File Type: txt k = 3045 primes so far.txt (436 Bytes, 102 views)

Last fiddled with by Flatlander on 2007-05-25 at 11:12
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