Low weight stats page.

[lsoule]

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.

[kar_bon]

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

[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<n<1000000, and at p=13.3*10^9 there are ~11400 candidates left. I plan to take it till p=100*10^9.

[amphoria]

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.

[VBCurtis]

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<n<1000000, and at p=13.3*10^9 there are ~11400 candidates left. I plan to take it till p=100*10^9.

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

[Cruelty]

VBCurtis - thanks for advice, I have used LLR till n~125000 and switched to NewPGen from p~66*10^9 till... today afternoon

[Thomas11]

k=59493015971 has reached n=4M now!
Taking a break...

[Kosmaj]

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!

[Thomas11]

Okay, here is some information:

The following FFT lengths had been in use so far:

    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).

[kar_bon]

k n
20141 760.000
27253 757.000
31511 466.000
no new primes

[Templus]

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