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 2011-07-21, 12:59 #243 SaneMur   Jul 2011 1658 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.
2011-07-21, 14:10   #244
Thomas11

Feb 2003

11×173 Posts

Quote:
 Originally Posted by SaneMur For k = 11235813, last prime was 161927, tested up to 228328 as of this morning.
Please note, that this thread is for reporting stats on low weight 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 low weight.

 2011-09-01, 07:36 #245 Cruelty     May 2005 2×809 Posts status report k=3343 tested till n= 4.3M k=6883 tested till n= 3.3M
 2011-11-23, 07:26 #246 Jean Penné     May 2004 FRANCE 13·43 Posts 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
2011-11-23, 07:53   #247
kar_bon

Mar 2006
Germany

B0A16 Posts

Quote:
 Originally Posted by Jean Penné Hello, I reached to-day n = 6688355, no prime so far, continuing...
I assume you meant k=442513453 (Nash=11) because k=442413453 got a Nash-weight of 1841.

2011-11-23, 09:38   #248
Jean Penné

May 2004
FRANCE

13×43 Posts

Quote:
 Originally Posted by kar_bon I assume you meant k=442513453 (Nash=11) because k=442413453 got a Nash-weight of 1841.
Oh yes, indeed, sorry for this typo!
Jean

 2011-11-28, 13:46 #249 Thomas11     Feb 2003 11×173 Posts k=59493015971 has just reached n=7M.
 2011-11-29, 13:50 #250 Cruelty     May 2005 2×809 Posts status report k=3343 tested till n= 4.4M k=6883 tested till n= 3.8M
 2011-12-31, 19:17 #251 Thomas11     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!
 2012-01-18, 15:06 #252 Thomas11     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=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 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...
 2012-02-10, 09:57 #253 Thomas11     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 As before, w is the standard Nash weight (n=100000-110000) and w' means "extended" Nash weight (for the interval n=1-100000).

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