20130826, 21:11  #1  
Jun 2003
1,579 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
11010101000_{2} 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
1,579 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
2^{2}×3^{2}×53 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
2^{3}·3·71 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
1,579 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
1,579 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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