mersenneforum.org 6 new K's
 Register FAQ Search Today's Posts Mark Forums Read

 2004-02-10, 23:17 #1 Citrix     Jun 2003 30538 Posts 6 new K's Here are 6 new k's I found using a program I wrote. I will be working on these but if some one else is interested on working on these k's, they can coordinate with me, otherwise they are reserved for me. I think one of these will be good enought ot take to 10 million in case all the other 15 k fail. k Weight 1064887395 6295 //Reserved by Cyrix 254107425 6319 1842574305 6763 1362724935 6420 736320585 6793 // Also on the choose a candidate page so I will release this k 247016055 6522 958516845 6601 Here are some 32 bit ones k Weight 3428677395 4.05 //seems to be the heaviest in the list. reserved by citrix 2298785775 3.64 2364971895 3.70 2993740035 3.92 Just a note:- The program takes about 1 min to run. These k's are heavy because k*2^n-1 has no factors which are also factors of the numbers such as 2^n-1. n from 1 to 32. Citrix PS: I would appreciate some help as I don't have alot of computing power. Last fiddled with by Citrix on 2004-02-14 at 03:15
 2004-02-11, 16:39 #2 cyrix   Jul 2003 Thuringia; Germany 1110102 Posts Maybe I could do some work on k=1064887395 (n from 150k to 200k). Have you a presieved file, or should I sieve it for myself? Cyrix
2004-02-11, 17:38   #3
Citrix

Jun 2003

1,579 Posts

Quote:
 Originally Posted by cyrix Maybe I could do some work on k=1064887395 (n from 150k to 200k). Have you a presieved file, or should I sieve it for myself? Cyrix
YOull have to sieve it yourself. I haven't really started working on them yet. I have a previous range to finish first.

Citrix

 2004-02-12, 10:56 #4 cyrix   Jul 2003 Thuringia; Germany 2×29 Posts 1064887395 151847 is prime!
 2004-02-12, 15:07 #5 Kosmaj     Nov 2003 E2616 Posts Cyrix, Congrats! Such a quick reaction and a well selected range! :surprised
 2004-02-12, 15:38 #6 ET_ Banned     "Luigi" Aug 2002 Team Italia 2·5·479 Posts Congratulations! Luigi
 2004-02-13, 04:14 #7 jocelynl   Sep 2002 2×131 Posts I'll be working on the lower part of these n's up to 150k Joss
 2004-02-13, 06:00 #8 jocelynl   Sep 2002 26210 Posts I started 1064887395 and it is a very good candidate at 20k it has 71 primes! 100th prime shoud be reached at n=78201 I also started 254107425 and at 20k it has 54 primes still a good candidate 100th prime here should be at n=378186 I'll no longer test this one. Joss
 2004-02-13, 17:34 #9 Citrix     Jun 2003 1,579 Posts I found 59 primes for k=3428677395 under 12500. is it worth testing this one above 150K? 50 primes were under 5000 and then 9 between 5000-12500. Citrix Last fiddled with by Citrix on 2004-02-14 at 03:15
2004-02-13, 22:17   #10
jocelynl

Sep 2002

2·131 Posts

higher range take longer to LLR but you also have to take into consideration the number of n's to test. If after sieving you have less than normal n's left, it might usefull to try higher range.

Quote:
 I found 59 primes for k=3428677395 under 12500. is it worth testing this one above 150K? 50 primes were under 5000 and then 9 between 5000-12500.
It's not as good as 1064887395 but you will still find quite a few primes.
Have you notice, it is a 2145k. Most of our top candidate are 2145k.

Joss

2004-02-14, 00:49   #11
Citrix

Jun 2003

1,579 Posts

Quote:
 Originally Posted by jocelynl It's not as good as 1064887395 but you will still find quite a few primes. Have you notice, it is a 2145k. Most of our top candidate are 2145k. Joss
All k's generated will be multiples of 3,5,11,13,19,29
So you can see all are multiples of 1181895

Citrix