20110721, 12:59  #243 
Jul 2011
165_{8} Posts 
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. 
20110721, 14:10  #244  
Feb 2003
11×173 Posts 
Quote:
The Nash weight of your k is 1990, which I wouldn't call a low weight. So, keep reporting your status on k=11235813 within the Choose your own K thread. 

20110901, 07:36  #245 
May 2005
2×809 Posts 
status report
k=3343 tested till n= 4.3M
k=6883 tested till n= 3.3M 
20111123, 07:26  #246 
May 2004
FRANCE
13·43 Posts 
Status for k=442413453
Hello,
I reached today 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 
20111123, 07:53  #247 
Mar 2006
Germany
B0A_{16} Posts 

20111123, 09:38  #248 
May 2004
FRANCE
13×43 Posts 

20111128, 13:46  #249 
Feb 2003
11×173 Posts 
k=59493015971 has just reached n=7M.

20111129, 13:50  #250 
May 2005
2×809 Posts 
status report
k=3343 tested till n= 4.4M
k=6883 tested till n= 3.8M 
20111231, 19:17  #251 
Feb 2003
11·173 Posts 
status report
k=59493015971 is now fully tested up to n=10M.
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! 
20120118, 15:06  #252 
Feb 2003
11×173 Posts 
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=1100000 instead of the n=100000110000 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 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... 
20120210, 09:57  #253 
Feb 2003
11·173 Posts 
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 
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