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 2006-05-01, 21:21 #100 lsoule     Nov 2004 California 23×3×71 Posts I've worked on k=144337 and finished it up to 1M (it's not currently listed on the low-weight page but if you can add it, that would be great). The only primes found were: 144337 129 144337 237 144337 609 144337 1077 A sieve to 173G leaves 4.23 n's/1000.
 2006-05-10, 06:51 #101 kar_bon     Mar 2006 Germany B6F16 Posts status overview i've reserved per email k=20141 and 27253 for me but not posted here. i'm working on these and k=31511 too. k=20141 up to n=716000 -> no prime found yet k=27253 up to n=660000 -> n=272347 refound (Ballinger, 1998) and a new prime at n=370867 (L150, Nov.2005), mailed and listed on status page. k=31511 up to n=335000 -> no prime found yet
 2006-05-10, 12:47 #102 Cruelty     May 2005 22·11·37 Posts I would like to reserve k=864316301 (it's not listed on 15k.org page). There are only two primes for n<20000: 864316301*2^30-1 864316301*2^402-1 Right now I am sieving this k for 20000
 2006-05-10, 18:03 #103 amphoria     "Dave" Sep 2005 UK 53308 Posts When the page is next updated can you record that I am working on the following low weight k's. k=48703 [at n=840000] Confirmed prime at n=109415 (Wilfred Keller, May 1998). k=49151 [at n=600000] Prime at n=97058. k=50171 [at n=1500000] Prime at n=138. Last fiddled with by amphoria on 2006-05-10 at 18:04
2006-05-11, 20:04   #104
VBCurtis

"Curtis"
Feb 2005
Riverside, CA

37·137 Posts

Quote:
 Originally Posted by Cruelty I would like to reserve k=864316301 (it's not listed on 15k.org page). There are only two primes for n<20000: 864316301*2^30-1 864316301*2^402-1 Right now I am sieving this k for 20000
If you are planning to check this k-value to 1 million for n, you need to sieve MUCH deeper than 100B. That is a fairly high-weight number, with 11 candidates per 1000, and should likely be sieved to at least 1000B by the time you are testing numbers around n=400k.

To save yourself time, consider LLRing n=20,000 to n=300,000 after sieving to 100B, then sieving the rest to 1 trillion before LLRing the rest. You'll find the sieve removes candidates faster than LLR would for a number around 600,000.
-Curtis

 2006-05-12, 10:54 #105 Cruelty     May 2005 22·11·37 Posts VBCurtis - thanks for advice, I have used LLR till n~125000 and switched to NewPGen from p~66*10^9 till... today afternoon
 2006-06-20, 16:27 #106 Thomas11     Feb 2003 77B16 Posts k=59493015971 k=59493015971 has reached n=4M now! Taking a break...
 2006-06-21, 07:56 #107 Kosmaj     Nov 2003 2·1,811 Posts n=4M !!! Sounds like clucking bell! I know you are aiming high, but I had no idea it's that high. With a prime form such heights we could certainly move further up by score Can you give us some numbers, for example how many tests in the 3-4M range, and FFT lengths & exe times in the vicinity of 4M. Thanks!
 2006-06-21, 08:58 #108 Thomas11     Feb 2003 35738 Posts Okay, here is some information: The following FFT lengths had been in use so far: Code:  fftlen nmax ----------------------- 327680 3259650 393216 3884481 458752 4522811 Note, that zero-padding is used at this size of k. This means slightly different running times when compared to the "ordinary" non-zero-padded FFT lengths. For much smaller k (e.g. 321search's k=3) the FFT lengths would be only half as large (and running times too, of course). On average there are "only" 88 LLR tests to be done per 1 million n range. The tests were done on a 1.7GHz P4, and in the vicinity of n=4M each test lasts about 110,000 secs (= 30.5 hours).
 2006-07-12, 06:43 #109 kar_bon     Mar 2006 Germany 1011011011112 Posts status k n 20141 760.000 27253 757.000 31511 466.000 no new primes
 2006-07-12, 08:52 #110 Templus     Jun 2004 11010102 Posts I reserved k=411793, it is tested until n=260k with 5000 tests left until 2M. Found primes are: 411793 35 411793 683 411793 9419 411793 233819

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