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Old 2008-12-04, 09:38   #12
gd_barnes
 
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I think a better question is: What is the LOWEST k with 150 primes for n < 1M ?

That would be an interesting project to come up with an answer for.
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Old 2008-12-04, 10:20   #13
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i know these pages and some information about those large k's i put in the Riesel Database, too.
see menu 'Related' and there 'Riesel Payam' with some data from R.Smith from the threads above.

more to come (it's almoste in the ToDo-list)
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Old 2008-12-04, 10:52   #14
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Quote:
Originally Posted by gd_barnes View Post
I think a better question is: What is the LOWEST k with 150 primes for n < 1M ?

That would be an interesting project to come up with an answer for.
That would be indeed a quite interesting project!
Taking k=37850187375 (for which I would expect at least 160 primes for n<1M) as an upper bound, one could start a search similar to the RieselSieve project. And one could also consider the lowest k with 100, 110, 120, 130, 140 primes for n<1M.

Besides the results already reported in this thread, I have tested many more k of similar size during the last two years, but I'll need to dig out the results first.

Thomas
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Old 2008-12-04, 12:17   #15
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Quote:
Originally Posted by Thomas11 View Post
Besides the results already reported in this thread, I have tested many more k of similar size during the last two years, but I'll need to dig out the results first.
would be great to get those results... many low primes and gaps to fill in!

another question:
which is the lowest n for the 100th primes of one k!?

R.Smith found a k with the 100th prime at n=5748!
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Old 2009-05-07, 18:37   #16
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from a PM from Beyond:

k primes
17295: 401039, 425663, 450249
21285: 460289
21525: 457089
23985: 405135, 423144
25905: 411911, 431069, 452762
25935: -
26565: -
28635: 405294, 433376, 439304
30015: 419277, 459895
33885: -
36315: 406316, 408750, 419861
37785: 437348, 478576, 501239, 519716
37995: 435429, 439385, 492984, 516463
49335: 438617, 493906
53625: 406546, 406636, 407373, 471031, 510237
66285: 409646, 478138, 511745
78795: 441711, 511766
79635: 417024, 482295
92235: 424499, 429677, 509665, 514653, 517249
97305: 403134, 413658, 458767, 479568, 508188

all k's were tested in the range n=400k to 1000k

Last fiddled with by kar_bon on 2009-05-07 at 18:39
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Old 2009-05-16, 15:07   #17
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Reserving: 432383773965*2^n-1 LLR upto 90k 105 prime found. Weight 7788 100th prime 48611

3, 4, 6, 7, 10, 11, 12, 18, 19, 20, 23, 39, 47, 61, 64, 72, 73, 84, 93, 94, 109, 123, 127, 141, 145, 161, 163, 183, 223, 227, 232, 259, 321, 322, 326, 329, 337, 340, 349, 368, 426, 501, 551, 553, 801, 802, 890, 902, 928, 1067, 1106, 1379, 1444, 1499, 1557, 1698, 1774, 2207, 2426, 2606, 3142, 3313, 3622, 3773, 3789, 4103, 4482, 4573, 5445, 5551, 5616, 6188, 6408, 7532, 7593, 8072, 8365, 8571, 8878, 9133, 9870, 9972, 12569, 13543, 16515, 17635, 19586, 21595, 21784, 22184, 26754, 29867, 30984, 32862, 36069, 37967, 38113, 40197, 45654, 48611, 58245, 60161, 76559, 81679, 81833

p.s: Under Name "D. Zaveri"

kar_bon: primes inserted

Last fiddled with by kar_bon on 2009-05-16 at 16:19
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Old 2009-05-18, 10:50   #18
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All the Heavy weight Riesel K's i have searched upto n < 25k.
All the K's are available if any one wants to search for it.
Code:
      K             Nash Weight
233806014585 7749
922230671505 7652
632999772405 7574
411251572875 7573
684247473195 7570
 20887630335 7559
244710177855 7553
 52654604145 7547
107049976605 7545
719729835825 7541
817520317185 7517
634820379765 7507
867256822575 7505
211463471505 7504
623576482815 7499
452499626865 7484
515309928705 7473
916555048695 7471
593377534035 7469
 20152491645 7452
401157619005 7451
282099222405 7449
918569975895 7445
659144838495 7444
399902446515 7442
988644530445 7440
 17809160655 7438
799394775465 7432
632486829975 7430
407137926195 7430
919629850425 7429
978911562915 7422
  7924279935 7420
640746319785 7418
875610945495 7413
535613417625 7407
513690569535 7406
455582987145 7401
188316750765 7397
826630363845 7390
171720581175 7388
457930131945 7387
596293211085 7380
 34805003805 7380
453019171605 7378
285869793495 7376
644320696305 7374
804447563205 7373
973616175675 7372
702875382495 7372
817629051525 7370
292095707475 7368
401202694035 7364
 46650333015 7363
646766472495 7357
219971811345 7357
954752904105 7356
307838300055 7356
405164118645 7355
192686746395 7354
404849858985 7353
891859393425 7352
841576608015 7352
 31194316725 7351
532398371505 7349
440933284935 7349
327161536845 7349
 67740637965 7348
989656232565 7347
567731536515 7346
178229643735 7346
572431729155 7339
946005182265 7338
983259572295 7336
508367314455 7336
776449465935 7334
603127254015 7334
507001043835 7334
147742947495 7334
563791343115 7333
475040239245 7331
958199811855 7329
222698320845 7329
553646445495 7328
452093453955 7328
868662299505 7326
327431008905 7326
855812492535 7322
866677694025 7321
630484618335 7321
155212360875 7321
121652900655 7321
823236858015 7320
627552785145 7320
246419198025 7320
191844014505 7319
779979093465 7315
357770987145 7315
134654479245 7315
Attach Primes1.txt contains Primes for all the Listed K's. (range n=1 to n =25k)
Primes1.txt

Sorry for sending you so much work Kar-Bon if you prefer it any other format please let me know.

Thanks,
D.zaveri
a.k.a cipher
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Old 2009-05-20, 01:15   #19
cipher
 
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I ran through for all the small primes in primes1.txt Post #18.
Here are the results of Twin primes that i found.
Code:
1000000000:M:1:2:257
233806014585 848
922230671505 11
922230671505 59
632999772405 5
632999772405 10
632999772405 15
632999772405 48
632999772405 58
411251572875 2
411251572875 3
411251572875 15
411251572875 795
684247473195 20
684247473195 134
20887630335 1
20887630335 988
244710177855 54
52654604145 201
719729835825 25
719729835825 53
719729835825 475
817520317185 88
817520317185 144
867256822575 83
867256822575 125
211463471505 160
211463471505 1241
515309928705 63
916555048695 349
916555048695 367
593377534035 2
401157619005 41
282099222405 5
282099222405 12
282099222405 17
659144838495 33
399902446515 1
399902446515 3
399902446515 9
399902446515 21
399902446515 69
399902446515 246
988644530445 4
988644530445 36
17809160655 2
17809160655 59
17809160655 635
799394775465 13
799394775465 16
632486829975 3
632486829975 15
407137926195 14
407137926195 24
407137926195 29
407137926195 44
978911562915 2
978911562915 244
978911562915 271
978911562915 6781
7924279935 39
7924279935 40
7924279935 250
640746319785 13
875610945495 20
875610945495 671
535613417625 10
535613417625 290
513690569535 246
455582987145 14
455582987145 41
455582987145 127
188316750765 9
188316750765 17
188316750765 137
826630363845 47
171720581175 20
596293211085 28
596293211085 616
34805003805 15
34805003805 21
34805003805 24
34805003805 42
34805003805 69
34805003805 78
34805003805 414
453019171605 31
285869793495 25
644320696305 122
804447563205 67
973616175675 74
973616175675 204
292095707475 82
292095707475 91
292095707475 759
46650333015 52
646766472495 11
646766472495 89
219971811345 22
219971811345 76
219971811345 122
954752904105 2
954752904105 45
954752904105 123
307838300055 14
307838300055 85
405164118645 145
192686746395 29
192686746395 60
404849858985 9
404849858985 70
404849858985 199
891859393425 2
891859393425 72
841576608015 72
31194316725 7
31194316725 19
31194316725 30
31194316725 97
532398371505 245
327161536845 53
327161536845 350
67740637965 1
67740637965 38
67740637965 668
989656232565 155
989656232565 157
567731536515 8
567731536515 33
567731536515 69
567731536515 183
178229643735 21
178229643735 41
178229643735 75
572431729155 20
572431729155 23
572431729155 50
572431729155 76
946005182265 1238
508367314455 11
508367314455 82
508367314455 88
508367314455 1939
776449465935 483
603127254015 34
507001043835 5
147742947495 35
147742947495 44
147742947495 210
147742947495 221
147742947495 884
563791343115 3
563791343115 39
563791343115 155
563791343115 185
475040239245 1
475040239245 27
475040239245 211
958199811855 98
222698320845 6
222698320845 24
222698320845 75
222698320845 78
222698320845 95
222698320845 792
222698320845 16831
553646445495 18
452093453955 27
452093453955 68
868662299505 68
868662299505 84
327431008905 146
327431008905 551
866677694025 23
866677694025 54
866677694025 90
630484618335 48
630484618335 57
630484618335 2341
155212360875 15
823236858015 1
823236858015 12
823236858015 238
627552785145 463
246419198025 38
246419198025 108
246419198025 376
191844014505 122
779979093465 19
357770987145 16
357770987145 27
134654479245 11
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Old 2010-09-06, 09:19   #20
Merfighters
 
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Quote:
Originally Posted by Thomas11 View Post
That would be indeed a quite interesting project!
<snip>
And one could also consider the lowest k with 100, 110, 120, 130, 140 primes for n<1M.
Here's the lowest known k with 100, 110, 120, 130, 140 primes for n<1M:
100 primes: k=465
110 primes: k=1125
120 primes: k=8331405
130 primes: k=8331405
140 primes: k=1581823815

Taking k=7924279935 from 302k to 1M.
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Old 2011-02-01, 13:52   #21
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Default k=7924279935

Tested up to n=332200 (100k digits)
Found 4 primes: n=308630, 312620, 321886, 330805 (Overall 131 primes)

kar_bon: updated

Last fiddled with by kar_bon on 2011-02-01 at 22:49
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Old 2011-07-21, 05:51   #22
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k=7924279935, n=394k, no new primes, still testing
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