20130826, 21:11  #1  
Jun 2003
3042_{8} Posts 
New low weight project
Moderator's edit: Moved here from the Low weight stats page thread.
The related discussion about generating low weight coefficients is here. Quote:
The other k's reserved above were already at 1M. I am working on new low weight k's now, so I am unreserving the above. Last fiddled with by Kosmaj on 20131124 at 01:08 

20130829, 14:20  #2 
Nov 2004
California
2^{3}×3×71 Posts 
I'll reserve the first two (73369061163506189 and 72034954241261729) for experimenting.

20130905, 16:26  #3 
Nov 2004
California
2^{3}×3×71 Posts 
73369061163506189 and 72034954241261729 are now at n=3M with no new primes.

20131009, 01:04  #4 
Jun 2003
2×5×157 Posts 
I have generated a new batch of low weight k's.
These are much smaller than the k's Thomas11 posted before and hence they can use the Zeropadded FFT and then takes 1/3 of the time to test. I have generated a new weight formula that is more accurate than extended nash weight. Feel free to reserve the k not listed below. It would be nice if we can get all of these to 2M. Code:
k new weight formula extended nash weight Tested upto 355262321784119 334 17 2 4.6M 706809843271963 348 51 2 400K 452565773039167 361 27 2 400K 596571372172469 373 23 2 400K 286565972092003 382 19 1 400K 265685529211859 387 32 1 400K 296990097378209 393 16 1 400K 586824605110333 406 29 2 400K 329604383181013 409 23 2 400K 449348815525481 413 19 2 400K 242081876749393 413 20 2 400K 151649765670817 430 41 2 400K 30402136144241 436 23 2 400K 569227451812807 437 20 2 400K 546088659477761 447 19 1 400K 174421373354771 447 20 2 400K 122586944321669 448 31 2 400K 427662785542799 450 39 2 400K 280418984909561 453 26 2 400K 9703351863493 453 32 2 400K 85877608135057 456 24 2 400K 571267621226129 458 50 2 400K 413338777986037 459 25 2 400K 508015032236651 466 21 2 400K 103432747403021 466 32 2 400K 606564403438897 468 19 1 400K 380289695293271 476 20 2 400K 294408177753337 477 22 2 400K 225184019593957 478 20 2 400K 633114842538613 479 34 2 400K 640520549022929 483 44 1 400K 456234152728799 484 23 2 400K 18047352362383 488 18 2 400K 290388549449203 488 22 2 400K 689369809338823 490 28 2 400K 578664594032099 492 19 2 400K 270003999160183 494 20 2 400K 70904559410129 494 38 2 400K 124855201083911 504 26 2 400K 129859680799207 505 23 2 400K 87131678294021 507 23 2 400K 309363900392467 508 94 1 400K 242539796323031 509 26 2 400K 481134684645673 513 19 2 400K 352406054088929 519 20 2 400K 583299325638817 519 26 2 400K 376161389883883 520 26 2 400K 612472684451819 520 30 2 400K 659819349704111 524 26 2 400K 151550479574083 533 27 1 400K Last fiddled with by Citrix on 20131009 at 01:30 
20131009, 12:20  #5 
Feb 2003
3·5·127 Posts 
Thanks for sharing your candidates, Citrix!
Could you give some details about your "new weight formula"? I'm taking the first ten candidates (apart from the one already tested to n=4.6M): 706809843271963 348 51 2 400K 452565773039167 361 27 2 400K 596571372172469 373 23 2 400K 286565972092003 382 19 1 400K 265685529211859 387 32 1 400K 296990097378209 393 16 1 400K 586824605110333 406 29 2 400K 329604383181013 409 23 2 400K 449348815525481 413 19 2 400K 242081876749393 413 20 2 400K 
20131009, 15:44  #6 
Nov 2004
California
2^{3}×3×71 Posts 
Earlier I said I was working on 73369061163506189. That was actually 7393513980157211. That k is complete up to n=5.8M. The other k, 72034954241261729, is complete up to and including n=5224788. I'm stopping work on both of these.

20131009, 16:12  #7 
Nov 2004
California
11010101000_{2} Posts 
I'll take the next set of 10 from Citrix's list and run 400k2M.
151649765670817 430 41 2 400K 30402136144241 436 23 2 400K 569227451812807 437 20 2 400K 546088659477761 447 19 1 400K 174421373354771 447 20 2 400K 122586944321669 448 31 2 400K 427662785542799 450 39 2 400K 280418984909561 453 26 2 400K 9703351863493 453 32 2 400K 85877608135057 456 24 2 400K 
20131009, 16:27  #8 
Jun 2003
11000100010_{2} Posts 
Just to clarify I am still working on the 50 candidates I posted... Thomas11 and lsoule the candidates you reserved are ones I am working on.
Please reserve from the txt file I posted there are 4000 more to choose from. The 50 candidates I am working on are not sequential as the list in the file so please be careful when choosing k. Last fiddled with by Citrix on 20131009 at 16:27 
20131009, 16:31  #9 
Jun 2003
2×5×157 Posts 
New weight formula
Sieve n=1 to 2,880,000 up to p=65536
For the remaining candidates check gcd for 2^28801 & remaining candidates. Candidates with no factors is the weight. 
20131009, 16:42  #10 
Nov 2004
California
2^{3}·3·71 Posts 
Thanks! Now I see 'NOT listed below'

20131009, 18:52  #11 
Nov 2004
California
2^{3}×3×71 Posts 
New low weight project
Let me try out these 5
144730753389727 112654045235503 336080953522813 486000558483997 381773338094339 
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