For k = 11235813, last prime was 161927, tested up to 228328 as of this morning.

It looks like by tomorrow I will reach the 250K mark, which has been sieved through 30T so far for exponents up to 1 M. BY the Prime Number Theorem I should be encountering a prime today, but we all know how that usually goes.

:smile:

[QUOTE=SaneMur;267119]For k = 11235813, last prime was 161927, tested up to 228328 as of this morning.[/QUOTE]

Please note, that this thread is for reporting stats on [B]low weight[/B] sequences, which typically have Nash weights less than about 500 or so.

The Nash weight of your k is 1990, which I wouldn't call a [I]low weight[/I].

So, keep reporting your status on k=11235813 within the [URL="http://www.mersenneforum.org/showthread.php?t=4963"]Choose your own K[/URL] thread.

status report
 

k=3343 tested till n= 4.3M
k=6883 tested till n= 3.3M

Status for k=442413453
 

Hello,

I reached to-day n = 6688355, no prime so far, continuing...

The file I am testing is now sieved up to 201 Tera and contains exponents up to
333,000,000

- So, I am now seaching for a prime larger than 2 millions digits base 10 but...

Regards,
Jean

[QUOTE=Jean Penné;279561]Hello,

I reached to-day n = 6688355, no prime so far, continuing...
[/QUOTE]

I assume you meant k=442513453 (Nash=11) because k=442413453 got a Nash-weight of 1841.

[QUOTE=kar_bon;279563]I assume you meant k=442513453 (Nash=11) because k=442413453 got a Nash-weight of 1841.[/QUOTE]

Oh yes, indeed, sorry for this typo!
Jean

k=59493015971 has just reached n=7M. :showoff:

status report
 

k=3343 tested till n= 4.4M
k=6883 tested till n= 3.8M

status report
 

k=59493015971 is now fully tested up to [B]n=10M[/B].
I'm stopping there and will take some other (even lower weighted) Ks instead.

If someone (Jean?) want's to take this k further, just feel free to do so!

I generated a new bunch (a few hundreds) of some extremely low weight Ks, out of which I'm currently processing 55 Ks to n=1M. On average there are only 24 candidates per million to be LLR tested (which is just about 1/3rd of the number of candidates of my former lowest weighted sequence for k=59493015971).

Since the Nash weights (w) are almost zero, I adopted an "extended" Nash weight (w') using a larger interval (n=1-100000 instead of the n=100000-110000 for the default Nash weight).

The following 12 Ks are already done to n=1M (no primes):

[CODE] k w w'
-------------------------------
48339404892961177 1 14
406073582908236461 1 14
592979134808991457 2 13
652850574413930323 2 14
722628597787516781 1 11
779459145704090233 0 11
1120506687783216073 1 15
1169903532554197841 2 13
1230093405438569351 0 12
1453925393534176987 1 11
1785111313457786563 0 10
1798192187704866367 1 10
[/CODE]

I will report the others once they are finished to n=1M.

Of course, there is a good chance that some of those Ks are actually Riesel numbers. So, the challenge is open to find some unknown covering sets... :smile:

Here comes the remaining part of the 55 extremely low weight Ks.
All tested to n=1M, no primes:

[CODE] k w w'
-------------------------------
1857833492721734399 2 14
1889973078421276391 2 11
2134283979496977071 2 14
2336808081874555027 0 14
2361395635463628913 1 9
2382824198781367777 1 14
2429751258528036643 0 8
2836914664354991819 1 13
2906083326630193357 1 7
2922711893866140097 2 13
3357318879583504987 1 11
3590135939982057041 1 9
3905879503574758663 2 14
4147838629795642961 0 11
4150722274592923633 0 11
4909752721230431699 1 13
4912819163835060913 1 11
5234218736802825547 1 13
5412103969953297493 0 11
5525169014874395083 0 15
5676538842682825567 1 12
6161602957511341897 0 11
6500156429041023487 1 13
6637512635665889863 1 11
6769336298281479701 1 10
6838389932203592981 0 14
6976449340148941409 1 11
7135659833720286523 2 10
7156629629285559641 2 14
7247899968266151097 1 11
7333936375096049413 0 5
7419486210481787381 1 13
7493892384027423131 3 11
7521556265302368389 1 7
7765247154549407503 1 10
7792196351147980619 1 12
7860917433568278179 1 10
7861962846623813377 1 15
8089507880965116551 3 10
8119785642358069297 2 10
8503602799194836803 1 12
8510030899264686877 2 15
8747510320667708377 1 8
[/CODE]

As before, w is the standard Nash weight (n=100000-110000) and w' means "extended" Nash weight (for the interval n=1-100000).