Well done Roger - good piece of work!

new data are online!

(see [url]www.rieselprime.de[/url] menu 'Related')

4737765 *2^45066+-1 is prime :smile:

Ranges searched (other than previously posted):

[CODE]n={45058-45067}: 0<k<5M
n={55058-55071}: 0<k<5M
n={55057-55058}: 0<k<10M
n=55059: 0<k<9.35M[/CODE]

I'll post the complete listing later.

Unfortunately Googlepages has taken the tact of migrating all web pages to Google Sites, which does not support many html commands, including ones that are in my pages. Therefore I'm migrating my pages from [URL]http://gbarnes017.googlepages.com/[/URL] to [URL]http://www.noprimeleftbehind.net/[/URL]

Post 18 in this thread [URL="http://www.mersenneforum.org/showpost.php?p=116040&postcount=18"][COLOR=#0066cc]here[/COLOR][/URL] has 2 links to lists of twins that are affected by this. Therefore, one of the admins might consider changing the links to:
[URL="http://www.noprimeleftbehind.net/crus/"][COLOR=#800080][URL]http://www.noprimeleftbehind.net/crus/twins100K.htm[/URL][/COLOR]
[URL="http://www.noprimeleftbehind.net/crus/twins1M.htm"][COLOR=#0066cc]http://www.noprimeleftbehind.net/crus/twins1M.htm[/COLOR][/URL]
[/URL]

Google allows redirects and I will put one in at their site but with all of the different pages that I have, I'm not sure if all will be properly redirected. So it would be better if the correct link is put in applicable post here.

Thank you,
Gary

-------------

[b]MooooMoo: Done, links changed.[/b]

We are cleaning up and putting stuff in appropriate directories at the noprimeleftbehind web pages. When doing the migration of everything, I just plopped everything right into a main CRUS directory to get it done before googlepages did their migration.

Max has now come through and created appropriate directories for everything. Pages of my own that are unrelated to CRUS have now gone into a /gary (vs. /crus) directory. Therefore, please, once again, change the links in post 18 to the following:

[URL]http://www.noprimeleftbehind.net/gary/twins100K.htm[/URL]
[URL]http://www.noprimeleftbehind.net/gary/twins1M.htm[/URL]

I think that should be the last change with this migration away from googlepages.


Thank you,
Gary

-------------------
[b]Oddball: Apparently MooooMoo didn't get around to changing the links, so I've done it nearly a year later. I know it's late, but I suppose it's better than nothing.[/b]

i just realize i forgot to reserve this:smile:
i am taking the ns from 10044-10100 to find the first k that is a twin for each n
i am mostly done and have 7 ns remaining @ k=75M
[code]k*2^10068-1
k*2^10069-1
k*2^10076-1
k*2^10092-1
k*2^10094-1
k*2^10095-1
k*2^10097-1[/code]
the primes are attached
there are multiple twins for some ns in the files which i can remove if u want kar_bon but i expect u have better scripts than me and u might want the extra twins
continuing up to k=1G

following
76338255 10076
111128181 10097
119311617 10092
126124605 10095
129685455 10095
132285531 10097
140348205 10095
141900591 10069
149436261 10069
151713945 10092
172005189 10097
there are only two ns left
10068
10094
the search is progressing really fast now:smile:

190543167 10068
201465873 10094

all ns upto 10100 are now done:smile:

i've inlcuded all your values for 10044<=n<=10100 in the table; the graphs not updated yet.

if this project is still going on:

39027735*2^15384+-1 is prime (4638 digits)
163651821*2^48023+-1 is prime (14464 digits) :)

I think I'll do some more scattered work on the side - haven't for a while so yeah.

Working on:
[code]
23087 (at 150M)
27283 (at 50M)
47015 (at 50M)
starting:
50363
83047
[/code]

I've just scanned karsten's first odd k twin page at [url]www.rieselprime.de[/url] to get this:

[code]
Range Smallest first twin k n value
200-400 9 211
400-600 297 546
600-800 213 726
800-1000 1365 829

1000-1200 177 1032
1200-1400 1065 1321
1400-1600 291 1553
1600-1800 20733 1660
1800-2000 3885 1971

2000-2200 4359 2191
2200-2400 6201 2213
2400-2600 33939 2529
2600-2800 32811 2707
2800-3000 6075 2821

3000-3200 5559 3017
3200-3400 1149 3283
3400-3600 2403 3460
3600-3800 5373 3722
3800-4000 4935 3826

4000-4200 111573 4164
4200-4400 32721 4335
4400-4600 146787 4590
4600-4800 66969 4619
4800-5000 2565 4901

5000-5200 58311 5147
5200-5400 43923 5316
5400-5600 82005 5459
5600-5800 58983 5738
5800-6000 5775 5907

6000-6200 79515 6177
6200-6400 275847 6382
6400-6600 45639 6593
6600-6800 4737 6634
6800-7000 33801 6885

7000-7200 77367 7170
7200-7400 307665 7247
7400-7600 122121 7403
7600-7800 33957 7768
7800-8000 143355 7950

8000-8200 31335 8160
8200-8400 3975 8335
8400-8600 459 8529
8600-8800 116199 8789
8800-9000 53985 8825

9000-9200 61593 9154
9200-9400 208113 9306
9400-9600 268689 9475
9600-9800 293475 9755
9800-10000 33891 9869
[/code]
Does anyone want to try fitting a regression curve to the data above?

edit: I just tried it and got:

Smallest first twin k = 0.00134*(n_value)^2

So, the smallest first twin k in the 483000-483200 range would be 0.00134*483100^2 = 313M.
To get a value below 10M, we'll need to test 31.3 ranges that are 200n wide, so the first twin in our variable n-range is expected to have a value of n=486260.