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-   -   New low weight project (https://www.mersenneforum.org/showthread.php?t=18943)

Citrix 2013-08-26 21:11

New low weight project
 
Moderator's edit: Moved here from the [URL="http://www.mersenneforum.org/showthread.php?t=2934&page=25"]Low weight stats page[/URL] thread.
The related discussion about generating low weight coefficients is [URL="http://www.mersenneforum.org/showthread.php?t=18471"]here[/URL].

[QUOTE=Citrix;347947]


7393513980157211*2^193554-1 is prime!:smile:
Reserving
73369061163506189
72034954241261729
7393513980157211
12066462798697631
23009979551311559
[/QUOTE]

Complete to n=1M, no new primes.
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.

lsoule 2013-08-29 14:20

I'll reserve the first two (73369061163506189 and 72034954241261729) for experimenting.

lsoule 2013-09-05 16:26

73369061163506189 and 72034954241261729 are now at n=3M with no new primes.

Citrix 2013-10-09 01:04

1 Attachment(s)
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 Zero-padded 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.:smile:

[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
[/code]

Thomas11 2013-10-09 12:20

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

lsoule 2013-10-09 15:44

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.

lsoule 2013-10-09 16:12

I'll take the next set of 10 from Citrix's list and run 400k-2M.

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

Citrix 2013-10-09 16:27

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.:smile:

Citrix 2013-10-09 16:31

New weight formula
 
Sieve n=1 to 2,880,000 up to p=65536
For the remaining candidates check gcd for 2^2880-1 & remaining candidates.
Candidates with no factors is the weight.:smile:

lsoule 2013-10-09 16:42

Thanks! Now I see 'NOT listed below'

lsoule 2013-10-09 18:52

New low weight project
 
Let me try out these 5
144730753389727
112654045235503
336080953522813
486000558483997
381773338094339


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